arxiv:1606.03969v1 [cond-mat.str-el] 13 jun 2016trical resistivity ρ measurements on undoped eumn...

20
arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016 Metallicity induced by potassium doping of the trigonal antiferromagnetic insulator EuMn 2 As 2 V. K. Anand 1, 2, and D. C. Johnston 1, 1 Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA 2 Helmholtz-Zentrum Berlin f¨ ur Materialien und Energie GmbH, Hahn-Meitner Platz 1, D-14109 Berlin, Germany (Dated: March 22, 2019) We report magnetic susceptibility χ, isothermal magnetization M, heat capacity Cp and elec- trical resistivity ρ measurements on undoped EuMn2As2 and K-doped Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2 single crystals with the trigonal CaAl2 Si2-type structure as a function of tem- perature T and magnetic field H. EuMn2As2 has an insulating ground state with an activation energy of 52 meV and exhibits antiferromagnetic (AFM) ordering of the Eu +2 spins S =7/2 at TN1 = 15 K from Cp(T ) and χ(T ) data with a likely spin-reorientation transition at TN2 =5.0 K. The Mn +2 3d 5 spins-5/2 exhibit AFM ordering at TN = 142 K from all three types of measurements. The M(H) isotherm and χ(T ) data indicate that the Eu AFM structure is both noncollinear and noncoplanar. The AFM structure of the Mn spins is also unclear. A 4% substitution of K for Eu in Eu0.96K0.04Mn2As2 is sufficient to induce a metallic ground state. Evidence is found for a difference in the AFM structure of the Eu moments in the metallic crystals from that of undoped EuMn2As2 versus both T and H. For metallic Eu0.96 K0.04Mn2As2 and Eu0.93K0.07Mn2As2, an anomalous S- shape T dependence of ρ related to the Mn magnetism is found. Upon cooling from 200 K, ρ exhibits a strong negative curvature, reaches maximum positive slope at the Mn TN 150 K, and then con- tinues to decrease but more slowly below TN. This suggests that dynamic short-range AFM order of the Mn spins above the Mn TN strongly suppresses the resistivity, contrary to the conventional decrease of ρ that is only observed upon cooling below TN of an antiferromagnet. PACS numbers: 74.70.Xa, 75.50.Ee, 71.30.+h, 72.15.Eb I. INTRODUCTION The Eu-based 122 pnictides such as EuFe 2 As 2 , which present a potential avenue for investigations of the in- terplay and coexistence of long-range magnetic order and superconductivity, have recently attracted consid- erable attention in the ongoing research activities on high-T c pnictide superconductors [1–19]. The substitu- tions at Eu, Fe or As sites as well as the application of pressure have been found to suppress the antiferro- magnetic (AFM) spin-density-wave transition of the par- ent EuFe 2 As 2 leading to superconductivity which coex- ists with the ordered Eu +2 moments. Recent neutron diffraction studies [20–23] of the magnetic structure of Co-doped, Ir-doped and P-doped EuFe 2 As 2 reveal fer- romagnetically (FM) ordered Eu moments with the mo- ments oriented along the c axis coexisting with the su- perconductivity. Continuing our work on 122-type pnictides in the search for novel properties and ground states [24– 31], here we report a comprehensive investigation of the physical properties of EuMn 2 As 2 which crystallizes in the trigonal CaAl 2 Si 2 -type structure (space group P ¯ 3m1) [32]. This structure is quite different from the common body-centered tetragonal ThCr 2 Si 2 -type structure of 122 compounds [33]. The formation of * Electronic address: [email protected] Electronic address: [email protected] the CaAl 2 Si 2 -type AB 2 X 2 materials is restricted by a specific condition: the transition metals at B-site must have filled or half-filled d electronic configura- tion (d 0 , d 5 or d 10 ) and with few exceptions, the elec- tron electrovalency count per formula unit is generally 16 [e.g. for Ca +2 (Al +3 ) 2 (Si 4 ) 2 , d 0 ] or 12 [e.g. for Ca +2 (Mn +2 ) 2 (P 3 ) 2 , d 5 ; Ca +2 (Zn +2 ) 2 (P 3 ) 2 , d 10 ] [33– 35]. In a ThCr 2 Si 2 -type structure the B site can be occupied by a variety of transition metals without any restrictions on the number of d electrons. The CaAl 2 Si 2 - structure compounds AZn 2 Sb 2 (A = Sr, Ca, Yb, Eu) exhibit small band gaps with high carrier mobilities and low lattice thermal conductivities and hence have a high thermoelectric efficiency which identifies them as poten- tially useful thermoelectric materials [36–38]. The magnetic and transport properties of several CaAl 2 Si 2 -type AB 2 X 2 compounds with A = Eu have been reported. EuZn 2 Sb 2 is a semimetal, exhibits Eu AFM ordering with a N´ eel temperature T N 13 K and is a potential thermoelectric material [37–40]. AFM EuCd 2 Sb 2 (T N =7.4 K) also has a semimetallic ground state [41, 42]. EuZn 2 As 2 also exhibits AFM ordering (T N = 16.5 K) but is semiconducting [42]. EuMn 2 P 2 is an AFM insulator with T N = 16.5 K [43]. EuMn 2 Sb 2 exhibits both Eu and Mn AFM ordering; the Eu spins order at about 9 K and the Mn spins order at 128 K [44, 45]. Mn moment ordering has also been observed in semiconducting CaMn 2 Sb 2 [46] and CaMn 2 Bi 2 [47] with T N = 85 K and 154 K, respectively. Very recently the crystallography and physical proper- ties of trigonal CaAl 2 Si 2 -type CaMn 2 As 2 and SrMn 2 As 2

Upload: others

Post on 27-Jun-2020

0 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

arX

iv:1

606.

0396

9v1

[co

nd-m

at.s

tr-e

l] 1

3 Ju

n 20

16

Metallicity induced by potassium doping

of the trigonal antiferromagnetic insulator EuMn2As2

V. K. Anand1, 2, ∗ and D. C. Johnston1, †

1Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA2Helmholtz-Zentrum Berlin fur Materialien und Energie GmbH, Hahn-Meitner Platz 1, D-14109 Berlin, Germany

(Dated: March 22, 2019)

We report magnetic susceptibility χ, isothermal magnetization M , heat capacity Cp and elec-trical resistivity ρ measurements on undoped EuMn2As2 and K-doped Eu0.96K0.04Mn2As2 andEu0.93K0.07Mn2As2 single crystals with the trigonal CaAl2Si2-type structure as a function of tem-perature T and magnetic field H . EuMn2As2 has an insulating ground state with an activationenergy of 52 meV and exhibits antiferromagnetic (AFM) ordering of the Eu+2 spins S = 7/2 atTN1 = 15 K from Cp(T ) and χ(T ) data with a likely spin-reorientation transition at TN2 = 5.0 K.The Mn+2 3d5 spins-5/2 exhibit AFM ordering at TN = 142 K from all three types of measurements.The M(H) isotherm and χ(T ) data indicate that the Eu AFM structure is both noncollinear andnoncoplanar. The AFM structure of the Mn spins is also unclear. A 4% substitution of K for Eu inEu0.96K0.04Mn2As2 is sufficient to induce a metallic ground state. Evidence is found for a differencein the AFM structure of the Eu moments in the metallic crystals from that of undoped EuMn2As2versus both T and H . For metallic Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2, an anomalous S-shape T dependence of ρ related to the Mn magnetism is found. Upon cooling from 200 K, ρ exhibitsa strong negative curvature, reaches maximum positive slope at the Mn TN ≈ 150 K, and then con-tinues to decrease but more slowly below TN. This suggests that dynamic short-range AFM orderof the Mn spins above the Mn TN strongly suppresses the resistivity, contrary to the conventionaldecrease of ρ that is only observed upon cooling below TN of an antiferromagnet.

PACS numbers: 74.70.Xa, 75.50.Ee, 71.30.+h, 72.15.Eb

I. INTRODUCTION

The Eu-based 122 pnictides such as EuFe2As2, whichpresent a potential avenue for investigations of the in-terplay and coexistence of long-range magnetic orderand superconductivity, have recently attracted consid-erable attention in the ongoing research activities onhigh-Tc pnictide superconductors [1–19]. The substitu-tions at Eu, Fe or As sites as well as the applicationof pressure have been found to suppress the antiferro-magnetic (AFM) spin-density-wave transition of the par-ent EuFe2As2 leading to superconductivity which coex-ists with the ordered Eu+2 moments. Recent neutrondiffraction studies [20–23] of the magnetic structure ofCo-doped, Ir-doped and P-doped EuFe2As2 reveal fer-romagnetically (FM) ordered Eu moments with the mo-ments oriented along the c axis coexisting with the su-perconductivity.

Continuing our work on 122-type pnictides in thesearch for novel properties and ground states [24–31], here we report a comprehensive investigation ofthe physical properties of EuMn2As2 which crystallizesin the trigonal CaAl2Si2-type structure (space groupP 3m1) [32]. This structure is quite different fromthe common body-centered tetragonal ThCr2Si2-typestructure of 122 compounds [33]. The formation of

∗Electronic address: [email protected]†Electronic address: [email protected]

the CaAl2Si2-type AB2X2 materials is restricted bya specific condition: the transition metals at B-sitemust have filled or half-filled d electronic configura-tion (d0, d5 or d10) and with few exceptions, the elec-tron electrovalency count per formula unit is generally16 [e.g. for Ca+2(Al+3)2(Si

−4)2, d0 ] or 12 [e.g. forCa+2(Mn+2)2(P

−3)2, d5; Ca+2(Zn+2)2(P

−3)2, d10] [33–

35]. In a ThCr2Si2-type structure the B site can beoccupied by a variety of transition metals without anyrestrictions on the number of d electrons. The CaAl2Si2-structure compounds AZn2Sb2 (A = Sr, Ca, Yb, Eu)exhibit small band gaps with high carrier mobilities andlow lattice thermal conductivities and hence have a highthermoelectric efficiency which identifies them as poten-tially useful thermoelectric materials [36–38].

The magnetic and transport properties of severalCaAl2Si2-type AB2X2 compounds with A = Eu havebeen reported. EuZn2Sb2 is a semimetal, exhibits EuAFM ordering with a Neel temperature TN ≈ 13 Kand is a potential thermoelectric material [37–40]. AFMEuCd2Sb2 (TN = 7.4 K) also has a semimetallic groundstate [41, 42]. EuZn2As2 also exhibits AFM ordering(TN = 16.5 K) but is semiconducting [42]. EuMn2P2 isan AFM insulator with TN = 16.5 K [43]. EuMn2Sb2exhibits both Eu and Mn AFM ordering; the Eu spinsorder at about 9 K and the Mn spins order at ∼ 128 K[44, 45]. Mn moment ordering has also been observed insemiconducting CaMn2Sb2 [46] and CaMn2Bi2 [47] withTN = 85 K and 154 K, respectively.

Very recently the crystallography and physical proper-ties of trigonal CaAl2Si2-type CaMn2As2 and SrMn2As2

Page 2: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

2

single crystals have been investigated. Both compoundsare AFM semiconductors with TN = 62 K and 120 K,respectively [48, 49]. A previous study of SrMn2As2 sin-gle crystals found TN = 125 K [50]. The anisotropicmagnetic susceptibility versus temperature χ(T ) data forboth compounds indicate that the easy plane for AFMordering of the the Mn+2 spins S = 5/2 is the hexago-nal ab plane [48]. Neutron diffraction measurements ofSrMn2As2 revealed that the Mn spins exhibit collinearAFM ordering in the ab plane with propagation vectork = (0, 0, 0), i.e., the AFM and chemical unit cells arethe same [49]. The χ(T ) and neutron diffraction stud-ies together indicate that the magnetism is quasi-two-dimensional with strong AFM correlations surviving toat least 900 K.

Herein we report the crystallography and physicalproperties of trigonal CaAl2Si2-type EuMn2As2 singlecrystals where both the Mn and Eu ions are magnetic.One expects the compound to contain Mn+2 ions with a3d5 electronic configuration and S = 5/2 and Eu+2 ionswith a 4f7 configuration and S = 7/2. Our χ(T ), isother-mal magnetization M versus magnetic field H and heatcapacity Cp(T ) measurements reveal an AFM groundstate in EuMn2As2. Two transitions at TN1 = 15.0 Kand TN2 = 5.0 K are seen in χ(T ) measured in low Hassociated with the Eu spins, where the latter is likelya spin reorientation transition. On the other hand, theCp(T ) and χ(T ) measurements also show a transition at142 K, which is attributed to AFM ordering of Mn mo-ments since this TN is similar to the above TN = 120 Kfor trigonal SrMn2As2 and the Sr+2 and Eu+2 ions havenearly the same radius. The electrical resistivity ρ(T )data reveal an insulating ground state in EuMn2As2 withan activation energy of 52 meV.

The physical properties of EuMn2As2 are similar tothose of BaMn2As2 [51]; however, the latter compoundforms in the body-centered tetragonal ThCr2Si2-typestructure. BaMn2As2 is AFM below TN = 625 K wherethe Mn spins (S = 5/2) adopt G-type (Neel-type) AFMstructure (moments oriented along the c axis) with an in-sulating ground state [51–54]. A small 1.6% substitutionof K for Ba in BaMn2As2 induces a metallic ground state[55]. In addition, higher K substitution results in fer-romagnetism in Ba1−xKxMn2As2 (x = 0.19, 0.26, 0.40)with half-metallic FM for x = 0.40 [56–58] and also for60% Rb-doped crystals [59].

In view of the interesting results arising from hole dop-ing of K and Rb for Ba in BaMn2As2, we also investigatedand report here the effects of K substitution for Eu onthe properties of EuMn2As2. We find metallic groundstates in Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2single crystals. The K substitution also seems to af-fect the AFM structure. The experimental details aregiven in Sec. II followed by the crystallography resultsin Sec. III. Sections IV, V and VI are devoted to re-sults and analyses on EuMn2As2, Eu0.96K0.04Mn2As2and Eu0.93K0.07Mn2As2, respectively, and a summaryand discussion are given in Sec. VII.

II. EXPERIMENTAL DETAILS

Single crystals of EuMn2As2 were grown using Sn flux.High-purity Eu (Ames Lab), and Mn (99.998%), As(99.99999%) and Sn (99.9999%) from Alfa Aesar, weretaken in a Eu:Mn:As:Sn = 1:2:2:25 molar ratio and placedin an alumina crucible which was then sealed in an evac-uated quartz tube. The crystal growth was carried byheating the tube to 1100 C at a rate of 60 C/h, heldfor 35 h for homogenization, followed by slow coolingat 2.5 C/h to 800 C at which temperature the crys-tals were removed from the flux by centrifuging. Shinyplatelike crystals of typical size 2.5 × 2 × 0.6 mm3 wereobtained.The single crystals of K-doped Eu1−xKxMn2As2 were

grown using self flux. Nominal mixtures Eu1−xKx (x =0.25, 0.5, 0.75) [K (99.95%), Alfa Aesar] and prereactedMnAs were taken in a 1:4 molar ratio which were placedin alumina crucibles and sealed in tantalum tubes whichwere then sealed in quartz tubes partially filled with ar-gon (≈ 1/4 atm pressure). The doubly-sealed sampleswere heated to 1200 C at 60 C/h, held there for 25 h,heated to 1250 C in 1 h, held there for 6 h and thencooled slowly at 2 C/h to 1130 C where the flux wasdecanted with a centrifuge. Shiny platelike crystals oftypical size 2× 1.5× 0.5 mm3 were obtained for nominalx = 0.25 and 0.5; however, no crystals were obtained fornominal x = 0.75 using this temperature profile.The single-phase nature and quality of the crys-

tals were checked by high resolution images using aJEOL scanning electron microscope (SEM). An energy-dispersive x-ray (EDX) analyzer attachment to the SEMwas used to determine the chemical compositions ofthe crystals which yielded the molar ratio Eu:Mn:As= 1 : 2 : 2 for the Sn-flux grown EuMn2As2. For theself-flux grown K-doped EuMn2As2 crystals the averagechemical compositions obtained from the EDX analyseswere Eu0.96(1)K0.04(1)Mn2As2 for nominal x = 0.25 andEu0.93(1)K0.07(1)Mn2As2 for nominal x = 0.5 melts. Thecrystal structure was checked by powder x-ray diffraction(XRD) on crushed single crystals using Cu Kα radiationand a Rigaku Geigerflex x-ray diffractometer. The XRDdata were analyzed by Rietveld refinement using the soft-ware FullProf [60].SrZn2As2 is isotructural to EuMn2As2 [61]. Crystals

were grown using Sn flux with a nominal molar ratioSrZn2As2:Sn = 1:20. The crystal growth was carriedout by slowly heating at 60 C/h to 1150 C, holdingthere for 35 h, followed by slow-cooling to 790 C over120 h at 3 C/h. Rietveld refinement of powder XRDmeasurements on crushed crystals gave lattice parame-ters a = 4.2202(1) A and c = 7.2632(2) A and atomiccoordinates zAs = 0.7317(4) and zZn = 0.3704(3). Thecrystal data are in good agreements with [61]. Semi-quantitative EDX analysis indicated the expected 1:2:2stoichiomentry apart from a small Sr deficiency (∼ 3%)and a trace amount (∼ 1.3 mol%) of Sn incorporated intothe crystal structure.

Page 3: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

3

TABLE I: Crystallographic and Rietveld refinement pa-rameters obtained from powder XRD data for crushedEu1−xKxMn2As2 (x = 0, 0.04, 0.07) single crystals crystal-lizing in the CaAl2Si2-type trigonal structure (space groupP 3m1, No. 164). The Wyckoff positions of Eu/K, Mn and Asatoms in the hexagonal setting are 1a (0, 0, 0), 2d (1/3, 2/3,zMn) and 2d (1/3, 2/3, zAs), respectively.

x = 0 x = 0.04 x = 0.07

Lattice parameters

a (A) 4.2846(1) 4.2831(2) 4.2839(2)

c (A) 7.2217(3) 7.2295(3) 7.2359(3)

c/a 1.6855(1) 1.6879(2) 1.6891(2)

Vcell (A3) 114.81(1) 114.86(2) 115.00(2)

Atomic coordinates

zMn 0.3800(4) 0.3779(4) 0.3786(4)

zAs 0.7343(3) 0.7357(4) 0.7344(3)

Refinement quality

χ2 4.66 5.08 4.16

Rp (%) 6.85 7.84 7.37

Rwp (%) 9.75 11.6 10.8

The M(T ) measurements at fixed H and M(H)isotherm measurements for H ≤ 5.5 T were performedusing a Quantum Design, Inc., superconducting quantuminterference device magnetic properties measurement sys-tem (MPMS). The high magnetic field M(H) isothermmeasurements for H ≤ 14 T were performed using thevibrating sample magnetometer (VSM) option of a Quan-tum Design, Inc., physical properties measurement sys-tem (PPMS). The Cp(T ) was measured by a relaxationmethod using the heat capacity option of the PPMS. Theρ(T ) data were obtained by the standard four-probe actechnique using the the ac transport option of PPMS.The electrical leads to the EuMn2As2 crystal were pre-pared by soldering 25 µm diameter Pt wire to the crystalwhereas for Eu1−xKxMn2As2 (x = 0.04, 0.07) crystalssilver epoxy was used to attach the Pt-wire leads.

III. CRYSTALLOGRAPHY

The room-temperature powder XRD data collected oncrushed crystals of EuMn2As2 and Eu0.93K0.07Mn2As2are shown in Figs. 1(a) and 1(b), respectively. Ri-etveld refinements of the XRD patterns revealed thesingle-phase nature of the crystals and confirmed theirCaAl2Si2-type trigonal structure (space group P 3m1).The Rietveld refinement profiles are shown by solid linesin Fig. 1. The weak unindexed peaks marked with starsin the patterns are extrinsic and arise from residual fluxon the surface of the crystals. The crystallographic andrefinement parameters are listed in Table I. The latticeparameters a and c are found to be in good agreementwith the reported values [32].

20 40 60 80 100-4000

0

4000

8000

12000

16000

Iobs Ical Iobs Ical Bragg positions

Inte

nsity

(arb

. uni

ts)

2 (degree)

EuMn2As2

**

(a)

20 40 60 80 100-4000

0

4000

8000

12000

*

Iobs Ical Iobs Ical Bragg positions

Inte

nsity

(arb

. uni

ts)

2 (degree)

Eu0.93K0.07Mn2As2

* *

(b)

FIG. 1: (Colour online) Powder x-ray diffraction patternsof (a) EuMn2As2 and (b) Eu0.93K0.07Mn2As2 recorded atroom temperature. The solid lines through the experimentalpoints are the Rietveld refinement profiles calculated for theCaAl2Si2-type trigonal structure (space group P 3m1). Theshort vertical bars mark the Bragg peak positions. The lower-most curves represent the differences between the experimen-tal and calculated intensities. The unindexed peaks markedwith stars correspond to peaks from the residual flux on thesurface of the samples.

Figure 2(a) shows the CaAl2Si2-type trigonal structureof EuMn2As2 in the hexagonal setting. As can be seenfrom Fig. 2(b) the structure consists of alternating layersof Eu and [Mn2As2]

−2 slabs stacked along the c axis. TheEu atoms are arranged in simple-hexagonal (triangular)lattice layers that are separated by [Mn2As2]

−2 slabs. A[Mn2As2]

−2 slab contains a corrugated Mn honeycomblattice [62]. The Mn and As are both fourfold coordinatedwith different coordination environments. The Mn atomsare coordinated approximately tetrahedrally by four Asatoms forming MnAs4 tetrahedra (both up- and down-

Page 4: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

4

FIG. 2: (Color online) (a) CaAl2As2-type trigonal crystalstructure of EuMn2As2 (space group P 3m1, No. 164). Thespheres represent Eu, Mn and As atoms in decreasing order ofsize. (b) Extended view of the EuMn2As2 structure showingthe Mn-As layers and [Mn2As2]

−2 networks. (c) A projec-tion of the EuMn2As2 structure onto the ab plane showingthe hexagonal arrangement of Eu, Mn and As atoms. The Euatoms form triangular-lattice layers and the Mn atoms forma corrugated honeycomb lattice.

pointing), and each As atom is surrounded umbrella-likeby four Mn atoms forming an AsMn4 unit with a flipped-tetrahedron coordination [62, 63]. The structure can alsobe viewed as a slightly distorted hexagonal close packingof As atoms with Mn atoms occupying half the tetrahe-dral sites and Eu atoms occupying half the octahedralsites [63]. Thus the Eu atoms have a slightly distortedoctahedral coordination with six nearest As neighborsforming EuAs6 octahedra.

The CaAl2Si2 structure, though different from the fa-miliar ThCr2Si2 structure, shares some common featureswith it. In both AB2X2 structures only one crystallo-

graphic site is occupied by each of the A, B andX atoms.Both structures can be generated by stacking of layers ofA and [B2X2]

−2 slabs along the c direction. Both struc-tures have BX4 tetrahedra which are edge shared to formthe [B2X2]

−2 slabs, however they have different arrange-ments in the two structures [33, 62]. In the ThCr2Si2structure BX4 tetrahedra share four of their six edgeswhereas in the CaAl2Si2 structure the BX4 tetrahedrashare only three edges. Furthermore, the [B2X2]

−2 net-works are three-dimensional in the ThCr2Si2 structurebut two-dimensional in the CaAl2Si2 structure. In theThCr2Si2 structure the B atoms form square-planar lay-ers and are each coordinated by four other B atoms at90, whereas in the CaAl2Si2 structure the B atoms arecoordinated by only three other B atoms at 90 like thecorner of a cube [64].

IV. PHYSICAL PROPERTIES OF EuMn2As2

A. Magnetization and Magnetic Susceptibility

1. Magnetism of the Eu Spins

The χ = M/H and χ−1 measured in H = 3.0 Tfor single-crystal EuMn2As2 are shown for the T range1.8 K ≤ T ≤ 300 K with H ⊥ c and H ‖ c in Figs. 3(a)and 3(b), respectively. The χ(T ) data for both spin direc-tions reveal an AFM transition at TN1 = 15.0 K assignedto Eu+2 spins S = 7/2 as follows.In the paramagnetic (PM) state of the Eu spins at

T >∼ 50 K the χ(T ) data follow the modified Curie-Weiss

behavior

χ(T ) = χ0 +C

T − θp(1)

where χ0 is a T -independent contribution to χ, C is theCurie constant and θp is the Weiss temperature. The fitsof the χ−1(T ) data over the T range 50 K ≤ T ≤ 300 Kby Eq. (1) are shown as the red curves in Fig. 3. Theparameters χ0, C and θp obtained from the fits are listedin Table II. The molar Curie constants are in agreementwith the theoretical value of 7.88µB/Eu for free Eu+2

ions with spin S = 7/2 and spectroscopic splitting factorg = 2. The Weiss temperatures θp ≈ 8 K for both fielddirections suggest dominant FM interactions. The valueof χ0 for both field directions is comparable with theaverage χave ∼ 2.6 × 10−3 cm3/mol from 1.8 to 900 Kfor SrMn2As2 which exhibits AFM ordering of the Mn+2

spins S = 5/2 at TN = 120 K [48].The zero-field-cooled (ZFC) χ(T ) ≡ M(T )/H data

for an EuMn2As2 crystal measured in different H ap-plied along the c axis (χc, H ‖ c) and in the ab plane(χab, H ⊥ c) are shown in Fig. 4 for T ≤ 30 K. At smallH = 0.05 T, cusps are observed in Fig. 4(a) for each ofχab(T ) and χc(T ) at TN1 = 15.0 K and TN2 = 5.0 K,where TN1 is the Neel temperature of the Eu spins and

Page 5: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

5

0 50 100 150 200 250 3000.0

0.2

0.4

0.6

0.8

1.0

1.2

T (K)

(cm

3 /mol

)EuMn2As2

H c

H = 3.0 T

(a)

0

10

20

30

40

1 (mol

/cm

3 )

0 50 100 150 200 250 3000.0

0.2

0.4

0.6

0.8

T (K)

(cm

3 /mol

)

0

10

20

30

40

1 (mol

/cm

3 )

EuMn2As2

H || c

H = 3.0 T

(b)

FIG. 3: (Color online) Zero-field-cooled magnetic susceptibil-ity χ (left ordinate) and its inverse χ−1 (right ordinate) foran EuMn2As2 crystal versus temperature T for 1.8 K ≤ T ≤300 K in a magnetic field H = 3.0 T applied (a) in the abplane (χab,H ⊥ c) and (b) along the c axis (χc,H ‖ c). Thesolid red curves are fits of the χ−1(T ) data by the modifiedCurie-Weiss law (1) over the T range 50 K ≤ T ≤ 300 K andthe dashed curves are extrapolations.

TN2 is likely an Eu spin-reorientation transition. The in-sets of Fig. 4(a) show expanded plots of the χ(T ) datain the vicinity of TN2 to show this transition in moredetail. The ZFC and field-cooled (FC) χ(T ) data donot exhibit any thermal hysteresis (not shown), consis-tent with second-order transitions at TN1 and TN2. Theχc(T ) data in Fig. 4(a) are nearly independent of T forT < TN1, whereas the χab(T < TN1) data decrease byabout 12% on cooling below TN1. These results rule out

collinear AFM ordering of the Eu spins along the c axis,because in that case χc(T → 0) = 0 [65], contrary to ob-

servation. For T > TN, the χ is also very anisotropic,with χc < χab.

As seen from Figs. 4(b) and 4(c), with increasing HTN1 shifts to lower T ; e.g. at H = 3.0 T, TN1 = 15.0 K

0 5 10 15 20 25 300.2

0.4

0.6

0.8

1.0

0 5 100.87

0.88

0.89

0 5 100.60

0.62

0.64

0.66

H || c

H c

(cm

3 /mol

)

T (K)

EuMn2As2

H = 0.05 T

(a)

H c

H || c

0 5 10 15 20 250.4

0.6

0.8

1.0

1.2

3.0 T 4.0 T 5.0 T

(cm

3 /mol

)

T (K)

0.05 T 0.1 T 1.0 T 2.0 T

EuMn2As2(b)

H c

0 5 10 15 20 250.3

0.4

0.5

0.6

0.7

0.8

3.0 T 4.0 T 5.0 T

(cm

3 /mol

)

T (K)

0.05 T 0.1 T 1.0 T 2.0 T

(c) EuMn2As2

H || c

FIG. 4: (Color online) (a) Zero-field-cooled (ZFC) magneticsusceptibility χ of an EuMn2As2 single crystal as a function oftemperature T for 1.8 K ≤ T < 30 K measured in a magneticfield H = 0.05 T applied in the ab plane (χab,H ⊥ c) andalong the c axis (χc,H ‖ c). Insets: Expanded views of χ(T )showing the anomalies near 5 K. (b) and (c) ZFC χab(T ) andχc(T ), respectively, for 1.8 K ≤ T ≤ 25 K measured at theindicated H values.

Page 6: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

6

TABLE II: Eu AFM ordering temperatures obtained from χ(T ) data, Mn TN from Cp(T ) data, and the parameters obtainedfrom fits of the χ(T ) data for Eu1−xKxMn2As2 (x = 0, 0.04, 0.07) by the modified Curie-Weiss law (1).

Compound Field Eu TN1 Eu TN2 Mn TN Fit T -range χ0 C θp

direction (K) (K) (K) (K) (cm3/mol) (cm3 K/mol) (K)

EuMn2As2 H ‖ c 15.0 5.0 142 50 ≤ T ≤ 300 3.7(3) × 10−3 7.86(7) 7.5(8)

H ⊥ c 15.0 5.0 50 ≤ T ≤ 300 3.7(4) × 10−3 7.98(9) 9(2)

Eu0.96K0.04Mn2As2 H ‖ c 13.5 9.0 146 50 ≤ T ≤ 125 7.2(9) × 10−3 9.5(3)a 9(1)

H ⊥ c 13.5 9.0 50 ≤ T ≤ 125 7.4(9) × 10−3 9.0(3)a 13(1)

Eu0.93K0.07Mn2As2 H ‖ c 14.5 12.5 150 75 ≤ T ≤ 225 1.05(3) × 10−2 b 7.9(1) 18(2)

H ⊥ c 12.5 75 ≤ T ≤ 225 1.13(5) × 10−2 b 8.0(1) 18(2)

aThese C values are abnormally large, likely due to the limitedT range of the fit and to the two magnetic transitions at temper-atures higher than the 50–125 K Curie-Weiss fitting temperaturerange that are observed in the χ−1(T ) data in Fig. 14.bThe χ0 is likely enhanced due to trace amounts of ferromagnetic

MnAs impurity with Curie temperature TC ≈ 320 K.

decreases to 9.5 K (χab) and 13.0 K (χc), consistent withan AFM transition at TN1. On the other hand, the TN2

which is observed in χ(T ) at H ≤ 0.1 T vanishes forH ≥ 0.5 T, which is not obvious from Figs. 4(b) and 4(c)due to the overlapping data sets.

The isothermal M(H) data for H ≤ 5.5 T of anEuMn2As2 crystal are shown in Fig. 5 at eight differ-ent temperatures between 1.8 K and 300 K for H ap-plied along the c axis (Mc, H ‖ c) and in the ab plane(Mab, H ⊥ c). Consistent with the AFM ground stateinferred from the χ(T ) data above, the M(H) isothermsat 1.8 K do not show any hysteresis between increasingand decreasing cycles of H (not shown). It is seen fromFigs. 5(a) and 5(b) at T = 1.8 and 5 K < TN1 = 15.0 Kfor H ⊥ c that the M(H) isotherms are almost linearin H until saturation is reached at the expected valueµsat = gSµB/Eu = 7µB/Eu, whereas for H ‖ c theM(H) isotherms are initially linear in H for H <

∼ 4.0 Tbut then show a weak S-type feature near 5 T be-fore reaching saturation. This anisotropy in the M(H)isotherms suggests that the c axis is the easy axis [65].However, this interpretation conflicts with the data inFig. 4(a) which demonstrates that collinear AFM order-ing of the Eu spins does not occur along the c axis . Thisinconsistency suggests that the AFM structure of the Euspins in EuMn2As2 is both noncollinear and noncopla-

nar.

A more detailed examination of the anisotropic M(H)behavior at T ≤ 20 K at high fields H ≤ 14 T is shownin Fig. 6. The data in Fig. 6(c) reveal that at 2.0 K thecritical fields Hc for saturation of M to µsat for H ⊥ cand H ‖ c are 4.4 T and 5.6 T, respectively. Within theWeiss molecular field theory (MFT) [65], this suggeststhat the c axis is the easy axis for AFM ordering of the Euspins. This directly conflicts with the data in Fig. 4 thatdemonstrate that this is not correct. The Hc decreaseswith increasing T as exemplified in Figs. 6(a) and 6(b).A break in slope of M(H) occurs at the critical field

Hc(T ) which is the field separating the AFM and PMstates of the system. At higher fields the M(H) dataexhibit negative curvature characteristic of the PM stateat temperatures close to TN1. This nonlinear behaviorin the PM state becomes proportional with increasingT > TN1 as seen in Fig. 5.

The Eu-spin H–T phase diagram delineated by Hc(T )in Fig. 7 is obtained from the χ(T ) data in Fig. 4 andthe M(H) data in Figs. 5 and 6. The red curves in Fig. 7are fits of the Hc(T ) data by the empirical function H =H0(1 − T/TN)

α with α = 0.43 and 0.30 for H ⊥ c andH ‖ c, respectively, with extrapolated Hc(T = 0) valuesof 4.6 and 5.8 T, respectively. In view of the high MnTN = 142 K and the large critical field Hc ∼ 25 T ofthe Mn spins at low T [48], the Mn spins are likely stillAFM ordered over the T and H range of Fig. 7. It wasinferred above that AFM structure of the Eu spins isnoncollinear and also noncoplanar. One sees that thecritical field for T → 0 in Fig. 7 is larger for H ‖ c thanfor H ⊥ c.

2. Magnetism of the Mn Spins

The χ(T ) data in Figs. 3 and 4 reveal AFM order-ing of the Eu+2 spins at TN1 = 15.0 K, but no obvi-ous anomaly is observed in χ(T ) that can be associatedwith ordering of the nominal Mn+2 spins S = 5/2. Themain difficulty is that the magnetism at all temperaturesis expected to be dominated by that of the Eu spins.However, the Cp(T ) data presented below show a clearadditional anomaly at 142 K. Furthermore, the data inTable III below show that Mn-containing CaAl2Si2-typeAB2X2 compounds exhibit Mn AFM ordering tempera-tures between 63 and 154 K. In particular, the compoundSrMn2As2 with nearly the same lattice parameters andunit cell volume as EuMn2As2, and containing Sr+2 withthe same valence as Eu+2, exhibits a Mn TN = 120(2) K

Page 7: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

7

0 1 2 3 4 5 60

2

4

6

8

1.8 K 5 K 10 K 20 K 50 K 100 K 200 K 300 K

M (

B/f.

u.)

H (T)

EuMn2As2

H c

(a)

0 1 2 3 4 5 60

2

4

6

8

M (

B/f.

u.)

H (T)

1.8 K 5 K 10 K 20 K 50 K 100 K 200 K 300 K

(b)

EuMn2As2

H || c

FIG. 5: (Color online) Isothermal magnetization M of anEuMn2As2 single crystal as a function of applied magneticfield H measured at the indicated temperatures for H applied(a) in the ab plane (Mab, H ⊥ c) and (b) along the c axis(Mc,H ‖ c).

[48] which is close in temperature to the feature in Cp(T )at 142 K for EuMn2As2.

Therefore we looked for irregularities in χ(T ) in thetemperature range from 100 to 300 K. To do thisin an unbiased manner, we assumed that the “back-ground” susceptibility for both χab(T ) and χc(T ) isgiven by Eq. (1) with the same parameters χ0 = 3.7 ×10−3 cm3/mol and θp = 8 K obtained from the 50–300 K fits in Table II. Therefore according to Eq. (1) aplot of (χ− χ0)(T − θp) versus T should be the constantvalue C. Shown in Fig. 8 are such plots for the two fielddirections in the 100–300 K temperature range. One seesa clear change in slope in the χab data on increasing Tthrough 142 K, and a more subtle slope change in χc(T ).Similar behaviors were observed for a SrMn2As2 crystal

0 2 4 6 8 10 12 140

2

4

6

8

EuMn2As2

(a)

H c

2 K 5 K 10 K 15 K 20 K

M (

B/f.u

.)

H (T)

0 2 4 6 8 10 12 140

2

4

6

8

M (

B/f.

u.)

H (T)

2 K 5 K 10 K 15 K 20 K

H || c

EuMn2As2

(b)

0 2 4 6 80

2

4

6

8

H c

H || c

EuMn2As2

M (

B/f.

u.)

H (T)

(c)

2.0 K

FIG. 6: (Color online) High-field isothermal magnetizationM of an EuMn2As2 single crystal as a function of appliedmagnetic field H measured at the indicated temperatures forH applied (a) in the ab plane (Mab,H ⊥ c) and (b) along thec axis (Mc,H ‖ c). (c) A comparison of H ⊥ c and H ‖ cM(H) isotherms at 2 K.

Page 8: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

8

Eu

Eu

Eu

Eu

FIG. 7: (Color online) H–T phase diagram for the Eu mag-netic ordering in an EuMn2As2 single crystal determined fromtheH dependence of TN from the magnetic susceptibility χ(T )data in Fig. 4 and T dependence of isothermal magnetizationM(H) data in Fig. 6 for H applied (a) in the ab plane (H ⊥ c)and (b) along the c axis (H ‖ c). The solid curves are the fitsto the data by H = H0(1− T/TN)

α.

FIG. 8: (Color online) The quantity (χ − χ0)(T − θp) versustemperature T in H = 3 T for EuMn2As2 with H ⊥ c andH ‖ c. The Neel temperature TN = 142 K of theMn sublatticeis apparent from the changes in slope of (χ−χ0)(T−θp) upontraversing TN with increasing T .

FIG. 9: (Color online) Heat capacity Cp of an EuMn2As2crystal and nonmagnetic reference compound SrZn2As2 ver-sus temperature T in zero magnetic field. The blue curve is afit of Cp(T ) of SrZn2As2 over the whole T range by the Debyemodel of lattice heat capacity with ΘD = 267(2) K.

on increasing T through its TN = 120 K in H = 3 T[48]. We therefore infer that the Mn spins in EuMn2As2exhibit AFM ordering below TN = 142 K. From the mag-netization and χ data presented, the nature of the AFMstructure of the ordered Mn moments below the Mn TN

in EuMn2As2 is unclear.

B. Heat Capacity

The Cp(T ) data for an EuMn2As2 crystal are shownin Fig. 9 together with those of a single crystal of theisostructural nonmagnetic reference compound SrZn2As2[61]. The Cp(T ) of SrZn2As2 was fitted by the Debyelattice heat capacity model [66], yielding a Debye tem-perature ΘD = 267(2) K. The fit is shown as the bluecurve in Fig. 9.Subtracting a spline fit of the Cp(T ) of SrZn2As2

from that of EuMn2As2 yields the magnetic contributionCmag(T ) to Cp(T ) of EuMn2As2 as shown in Fig. 10(a).The Cmag(T ) shows a sharp λ-type anomaly at TN1 =14.8 K consistent with the long-range AFM ordering ofthe Eu spins observed at 15.0 K in χ(T ) above. Inaddition, the high-T Cmag(T ) data show a well-definedanomaly at 142 K, consistent with the anomaly found inthe above χ(T ) data in Fig. 8 which we attribute to anAFM transition associated with the Mn spins. We donot see any thermal hysteresis across the 142 K anomalybetween the warming and cooling cycles of Cp(T ) mea-surements (not shown), consistent with a second-orderphase transition. Similarly, a Cp anomaly at 120 K inaddition to the Eu AFM transition at TN ≈ 10 K wasobserved in EuMn2Sb2 and attributed to AFM orderingof the Mn S = 5/2 spins [44].

Page 9: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

9

FIG. 10: (Color online) (a) Magnetic heat capacity Cmag

of EuMn2As2 versus temperature T measured in H = 0.(b) Cmag/T versus T . (c) Magnetic entropy Smag versus T .The AFM ordering temperatures TN of the Eu and Mn spinsare indicated in each panel. The entropy of disordered Euspins R ln(8) is indicated by the horizontal dashed line. Thecontinuing increase of Smag(T ) for T > 50 K is due to therelease of magnetic entropy of the long-range AFM-orderedMn spins for T < 142 K and of short-range-ordered Mn spinsfor T > 142 K.

FIG. 11: (Color online) Magnetic heat capacity Cmag of anEuMn2As2 crystal divided by temperature T versus T below40 K. The T 3 extrapolation to T = 0 is the dashed red line.The blue curve is the MFT prediction for Eu spin S = 7/2and TN = 14.8 K [54].

The dependence of Cmag(T )/T on T is shown inFig. 10(b). After extrapolating the Cmag(T ) data toT = 0 using a T 3 function, the magnetic contributionSmag(T ) to the entropy was calculated using Smag(T ) =∫ T

0 [Cmag(T )/T ]dT , and the result is shown in Fig. 10(c).For the Eu ordering, Smag(TN) = 13.5 J/molK, whichis 78% of the high-T limit R ln(2S + 1) = R ln(8) =17.3 J/molK. This reduction of 22% arises from dy-namic short-range AFM ordering of the Eu spins existingat TN1. The lost magnetic entropy is fully recovered by40 K as shown in Fig. 10(c). The Smag(T ) thus indicatesa valence state Eu+2 with S = 7/2 in EuMn2As2 as alsodeduced above from the χ(T ) data.Taking the Mn spin to be S = 5/2, the high-T limit of

the Mn spin entropy per mole of EuMn2As2 is 2R ln(6) =29.8 J/molK. Thus the total high-T spin entropy is ex-pected to be 47.1 J/molK. The value at 300 K fromFig. 10(c) is only 32 J/molK, so much of the magneticentropy is still present as short-range AFM order of theMn spins at that temperature. This result is consistentwith the inference in [48] that strong short-range AFMorder of the Mn spins in SrMn2As2 is still present evenat 900 K.Shown in Fig. 11 is an expanded plot of Cmag/T ver-

sus T for EuMn2As2. The plot more clearly shows thesharp λ peak at TN1 = 14.8 K and a bulge at T ∼ 5 K.Also shown is the MFT prediction for S = 7/2 [54]. Thebulge is not associated with the Eu TN2 = 5.0 K seen inχ(T ) in Fig. 4(a) likely arising from an Eu spin reorienta-tion transition. In particular, the bulge in the EuMn2As2data at ∼ 5 K is also present in the MFT prediction andis a natural consequence of the combined effects of theincrease in the exchange field and the decrease in theexcited Zeeman level populations with decreasing T . As

Page 10: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

10

50 100 150 200 250 300 350

0

100

200

300

400

100 150 200 250 300 3500.1

0.2

0.3

0.4

0.5

( c

m)

T (K)

(a) EuMn2As2

( c

m)

T (K)

50 100 150 200 250 300 3500.1

1

10

100EuMn2As2

( c

m)

T (K)

(b)

0 5 10 15 200.1

1

10

100

( c

m)

1000/T (K 1)

FIG. 12: (Color online) (a) ab-plane electrical resistivity ρ ofan EuMn2As2 single crystal as a function of temperature T for1.8 K ≤ T ≤ 350 K measured in zero magnetic field. Inset:Expanded view of ρ(T ) data at T > 100 K. (b) The ρ(T )data in (a) plotted on a semilog scale. The red curve is a fitof ρ(T ) data with 50 K ≤ T ≤ 100 K by Eq. (2). Inset: log10 ρversus 1000/T . The straight red line is the same fit as in themain figure. The vertical arrows in the main panel (b) and itsinset indicate a feature in the data at the Mn AFM orderingtemperature TN = 142 K.

pointed out in [54], within MFT the bulge is necessary sothat the magnetic entropy at TN increases with increasingspin S of the magnetic species.

C. Electrical Resistivity

The ab-plane ρ(T ) of an EuMn2As2 crystal is shown onlinear scales in Fig. 12(a) with an expanded plot above100 K in the inset. The ρ initially decreases slowly withdecreasing T from 193 mΩcm at 350 K to 180 mΩcm at

250 K, slowly increases down to 100 K and then increasesrapidly below this T , yielding an insulating ground statein EuMn2As2.The ρ(T ) data plotted on a semilogarithmic scale in

Fig. 12(b) are described in the T range 50 K ≤ T ≤ 100 Kby

ρ(T ) = ρ0 exp

(

kBT

)

, (2)

where kB is Boltzmann’s constant, as shown by a fitof ρ(T ) data by Eq. (2) with activation energy ∆ =52.0(2) meV (red curve). An alternative view of the fiton a semilog plot of ρ versus 1000/T is shown as the redstraight line in the inset of Fig. 12(b). The activation en-ergy for EuMn2As2 is of the same order as for BaMn2As2(∆ = 54 meV) [51]. In view of the activated behavior atlow T , we suggest that the metallic-like behavior of ρ(T )at T > 250 K arises from a competition between thecarrier mobility and number density, such that with in-creasing T the mobility of the carriers decreases slowerthan the carrier concentration increases.In addition, in Fig. 12(b) and its inset one sees that the

ρ(T ) data exhibit a bump near 142 K (vertical arrows)corresponding to the Mn TN as observed above from theCp(T ) and χ(T ) measurements.

V. PHYSICAL PROPERTIES OF

Eu0.96K0.04Mn2As2

A. Magnetization and Magnetic Susceptibility

The ZFC and FC χ(T ) data for an Eu0.96K0.04Mn2As2crystal measured inH = 0.1 T are shown in Fig. 13(a) forT ≤ 40 K. These χ(T ) data reveal well-defined anomaliesdue to AFM ordering at TN1 = 13.5 K for both H ‖ c andH ⊥ c with no thermal hysteresis. In addition Fig. 13(a)with H ⊥ c and the inset with H ‖ c exhibit some sortof spin-reorientation transition at TN2 = 9.0 K. TheAFM nature of the transition is confirmed by the shiftof TN1 towards lower T with increasing H as shown inFigs. 13(b) and 13(c).The χ(T ) in H = 0.1 T is strongly anisotropic with

χab > χc for T > 5.6 K and χab < χc at lower T as seenin Fig. 13(a). The T dependence of the anisotropy is toostrong to arise from the conventional shape-, magnetic-dipole and single-ion anisotropies [67]. It may arise fromc-axis FM correlations that grow with decreasing T fasterthan predicted by MFT and/or from interactions be-tween the Eu and Mn spin sublattices.Figure 14 shows the χ(T ) for 1.8 K ≤ T ≤ 350 K mea-

sured in H = 1.0 T together with χ−1(T ). The χ−1(T )shows two clear anomalies near 150 K and 275 K forboth H ‖ c and H ⊥ c. These anomalies can also beseen directly in the χ(T ) data plotted on expanded scalesin the insets of Figs. 14(a) and 14(b). We assign the150 K anomaly to AFM ordering of the Mn spins, simi-lar in temperature to TN = 142 K seen above in undoped

Page 11: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

11

0 10 20 30 400

2

4

6

8

0 10 201.5

2.0

2.5

H || c

H c

Eu0.96K0.04Mn2As2

(cm

3 /mol

)

T (K)

ZFC FC ZFC FC

(a)

H = 0.1 T

H || c

(cm

3 /mol

)

T (K)

0 10 20 30 400

2

4

6

8

0 10 20 30 400.0

0.5

1.0

1.5

2.0

(b)

H c

Eu0.96K0.04Mn2As2

(cm

3 /mol

)

T (K)

0.1 T 1.0 T 2.0 T 3.0 T

(cm

3 /mol

)

T (K)

1.0 T

3.0 T

2.0 T

0 10 20 30 400.0

0.5

1.0

1.5

2.0

2.5(c)

0.1 T 1.0 T 2.0 T 3.0 T

H || c

Eu0.96K0.04Mn2As2

(cm

3 /mol

)

T (K)FIG. 13: (Color online) (a) Zero-field-cooled (ZFC)and field-cooled (FC) magnetic susceptibility χ of anEu0.96K0.04Mn2As2 crystal versus temperature T for 1.8 K ≤T ≤ 40 K measured in a magnetic field H = 0.1 T applied inthe ab plane (χab,H ⊥ c) and along the c axis (χc, H ‖ c).Inset: Expanded plot of χ(T ) for H ‖ c showing the anomalynear 9 K. (b) ZFC χ(T ) for 1.8 K ≤ T ≤ 40 K measured atthe indicated H ⊥ c. Inset: Expanded plot of χ(T ). (c) ZFCχ(T ) for 1.8 K ≤ T ≤ 40 K measured at the indicated H ‖ c.

100 200 300

5

10

0 50 100 150 200 250 300 3500.0

0.5

1.0

1.5

2.0

T (K)

(cm

3 /mol

)

Eu0.96K0.04Mn2As2

H = 1.0 T

0

10

20

30

40

50

1 (m

ol/c

m3 )

H c

(a)

(10

2 cm

3 /mol

)

T (K)

100 200 300

5

10

0 50 100 150 200 250 300 3500.0

0.5

1.0

1.5

Eu0.96K0.04Mn2As2

T (K)

(cm

3 /mol

)

H || c

H = 1.0 T

(b)

0

10

20

30

40

50

1 (m

ol/c

m3 )

(10

2 cm

3 /mol

)

T (K)

FIG. 14: (Color online) Zero-field-cooled magnetic suscepti-bility χ (left ordinate) and its inverse χ−1 (right ordinate)of an Eu0.96K0.04Mn2As2 single crystal versus temperatureT for 1.8 K ≤ T ≤ 350 K measured in a magnetic fieldH = 1.0 T applied (a) in the ab plane (χab,H ⊥ c) and (b)along the c axis (χc,H ‖ c). The red solid straight lines arethe fits of χ−1(T ) data to the modified Curie-Weiss behav-ior in the T range 50 K ≤ T ≤ 125 K and the red dashedstraight lines are extrapolations. Arrows mark anomaliesnear 150 K and 275 K. Insets: Expanded plots of χ(T ) for100 K ≤ T ≤ 350 K.

EuMn2As2. A more precise value TN = 146 K for theMn AFM ordering is obtained below from Cp(T ) data.The origin of the 275 K anomalies in Fig. 14 is unknown.The fits of the χ−1(T ) data by Eq. (1) in the T range50 K ≤ T ≤ 125 K are shown by the red lines in Fig. 14with fitting parameters listed in Table II. One sees thatχ0, C and θp all increase compared to the respective val-ues for EuMn2As2; the increases are likely spurious dueto the multiple transitions at 150 and 275 K and theresulting small temperature range of the Curie-Weiss fit.M(H) isotherms for Eu0.96K0.04Mn2As2 are shown in

Fig. 15. Even at the lowest T = 1.8 K, the M(H) curvesfor both field directions show negative curvature over thewhole H range. This suggests that the AFM structure of

Page 12: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

12

0 1 2 3 4 5 60

2

4

6

8

H c

M (

B/f.u

.)

H (T)

Eu0.96K0.04Mn2As2 200 K 300 K

1.8 K 5 K 10 K 20 K 50 K 100 K

(a)

0 1 2 3 4 5 60

2

4

6

8

H || c

Eu0.96K0.04Mn2As2 200 K 300 K

1.8 K 5 K 10 K 20 K 50 K 100 K

M (

B/f.u

.)

H (T)

(b)

0 1 2 3 4 5 60

2

4

6

8

0 2 4 60

2

4

6

Eu0.96K0.04Mn2As2

H || cH c

M (

B/f.u

.)

H (T)

(c)

1.8 K

dM/d

H (

B/T

)

H (T)

FIG. 15: (Color online) Magnetization M versus appliedmagnetic field H isotherms for an Eu0.96K0.04Mn2As2 crys-tal measured at the indicated temperatures for H applied(a) in the ab plane (Mab, H ⊥ c) and (b) along the c axis(Mc,H ‖ c). (c) Comparison of H ⊥ c and H ‖ c M(H)isotherms at 1.8 K. Inset: dM(H)/dH versusH at T = 1.8 K.

the Eu spins is both noncollinear and noncoplanar [65]as also deduced above for EuMn2As2. Alternatively, theM(H) behavior of the Eu spins might arise from interac-tions with the ordered Mn sublattice. Furthermore, theM(H) data at 1.8 K in Fig. 15(c) show metamagnetictransitions as more clearly illustated in plots of dM/dHversus H in the inset.As in the χ(T ) data, the M(H) isotherms show

anisotropic behavior as shown for T = 1.8 K in Fig. 15(c).The saturation magnetization for H ⊥ c and H ‖ cat 1.8 K and 5.5 T are µsat = 6.54µB/f.u. and µsat =6.67µB/f.u. respectively. On a per Eu spin basis, thesecorrespond to µsat = 6.81µB/Eu and 6.95µB/Eu, respec-tively, which are close to the expected µsat = 7.0µB forEu+2. The critical fields for saturation of Mab and Mc

at 1.8 K are Hc ≈ 3.5 T and 5.0 T, respectively, indicat-ing that the net anisotropy field seen by the Eu spins isstrongest along the c axis.

B. Heat Capacity

The Cp(T ) data for Eu0.96K0.04Mn2As2 are shown inFig. 16. Like EuMn2As2, the low-T Cp(T ) data show a λ-type peak at the Eu TN1 = 13.5 K [inset (a) of Fig. 16(a)]without any anomaly near TN2. The high-T Cp(T ) datashow a well-defined anomaly at 146 K without any ther-mal hysteresis [inset (b) of Fig. 16(a)] that is assigned tothe Mn TN. The latter TN is close to the Mn TN ∼ 150 Kseen in χ(T ) in Fig. 14 and is slightly higher than theMn TN = 142 K determined above for EuMn2As2 fromCp(T ) data.The magnetic contribution Cmag(T ) per mole of Eu

spins obtained after subtracting the lattice contributionis shown in Fig. 16(b) as Cmag(T )/T versus T . While anAFM transition at TN1 is clear from the Cmag(T ) data,the presence of dynamic short-range AFM correlations upto 40 K is also evident from the nonzero Cmag(T ) at T >TN1. The MFT prediction for a second-order magnetictransition at TN1 = 13.5 K for S = 7/2 [54] is shownby the red curve in Fig. 16(b). The Smag(T ) obtainedfrom Cmag(T )/T is shown in the inset of Fig. 16(b). AtT = 40 K, Smag is close to R ln(8) expected for Eu+2

with S = 7/2. Due to the large magnetic contributionto Cp at low T , it is not possible to extract a γT termassociated with the conduction carriers identified fromthe ρ(T ) data that follow.

C. Electrical Resistivity

The ab-plane ρ(T ) of Eu0.96K0.04Mn2As2 is shown inFig. 17. The ρ(T ) exhibits metallic behavior and is qual-itatively different from that of EuMn2As2 which is semi-conducting. The metallic state occurs as a result ofhole doping by partially replacing Eu+2 by K+1. Thiseffect of K substitution is similar to that in BaMn2As2where a 1.6% K substitution for Ba is sufficient to drive

Page 13: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

13

0 50 100 150 200 250 3000

50

100

150

120 140 160 180110

120

130

0 10 20 30 400

10

20

30

Cp (J

/mol

K)

T (K)

Eu0.96K0.04Mn2As2

(a)

(b)

Warming CoolingSrZn2As2

(a)

0 10 20 30 400.0

0.5

1.0

1.5

2.0

0 10 20 30 400

5

10

15

20

Eu0.96K0.04Mn2As2

Cm

ag/T

(J/m

ol E

u K

2 )

T (K)

(b)

Sm

ag (J

/mol

Eu

K)

T (K)

R ln8

FIG. 16: (Color online) (a) Heat capacity Cp of anEu0.96K0.04Mn2As2 crystal versus temperature T in H = 0for 1.8 K ≤ T ≤ 300 K. Insets: Expanded views of Cp(T ) of(a) Eu0.96K0.04Mn2As2 and SrZn2As2) for T < 40 K and (b)Eu0.96K0.04Mn2As2 for 120 K ≤ T ≤ 180 K. (b) Magneticcontribution Cmag to Cp plotted as Cmag(T )/T versus T permole of Eu spins. Inset: Magnetic contribution Smag(T ) tothe entropy per mole of Eu spins. The dashed curve is theextrapolation to T = 0 and the solid red curve is the MFTprediction for S = 7/2 and TN = 13.5 K.

the system metallic [55]. The absolute value of ρ inFig. 17 is high for a metal which evidently arises fromthe low doped-hole concentration and/or low hole mobil-ity.

The ρ(T ) in Fig. 17 shows a sharp maximum inslope at ≈ 150 K, close to the Mn TN = 146 K.This strong increase in dρ/dT on approaching TN fromabove is very unusual. The same behavior is found forEu0.93K0.07Mn2As2 in Fig. 22 below. We suggest thatthis behavior arises from the decrease in spin-disorderscattering of the doped holes off the Eu local momentsin the PM state above TN and then a continuing de-

0 50 100 150 200 250 300 3500

5

10

15

20

0 10 20 30 402.5

3.0

3.5

4.0

Eu0.96K0.04Mn2As2

(mcm

)

T (K)

(mcm

)

T (K)

FIG. 17: (Color online) ab-plane electrical resistivity ρ of anEu0.96K0.04Mn2As2 crystal versus temperature T measuredin H = 0. Inset: Expanded view of ρ(T ) data at T < 40 K.The bumps in ρ(T ) at ∼ 210 K are experimental artifacts.

crease in ρ occurs below TN due to the long-range AFMorder. One does not normally observe a decrease in spin-disorder scattering in a metal containing local momentswith short-range AFM order in the PM state, but itmight be observable here because of the high magnitudeof the resistivity which makes it more susceptible to sucha perturbarion.Like χ(T ) and Cmag(T ), the ρ(T ) also shows a clear

anomaly near the Eu TN1 = 13.5 K as shown in the in-set of Fig. 17. We suggest that the increase in ρ withdecreasing T just above the Eu TN1 arises from the for-mation of superzone energy pseudogaps in the Brillouinzone due to long-range incommensurate AFM order ofthe Eu spins [68–70]. Indeed, AFM superzone gap for-mation below the AFM TN of the Eu+2 spins-7/2 wasrecently inferred in the related Eu compound EuPd2As2with the tetragonal ThCr2Si2-type structure [30]. Thedecrease in ρ below TN1 might then arise from a decreasein spin-disorder scattering.

VI. PHYSICAL PROPERTIES OF

Eu0.93K0.07Mn2As2

A. Magnetization and Magnetic Susceptibility

The ZFC and FC χ(T ≤ 40 K) data for anEu0.93K0.07Mn2As2 single crystal in H = 0.1 T for H ‖ cand H ⊥ c are shown in Fig. 18(a). For H ‖ c the datashow a cusp at TN1 = 14.5 K arising from AFM order-ing of the Eu+2 spins followed by a sharp minimum atTN2 = 12.5 K and then an increase, eventually tendingto a nearly constant value below 6 K [see also Fig. 18(c)].For H ⊥ c a single peak is seen at TN2 = 12.5 K. This

Page 14: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

14

0 10 20 30 400

2

4

6

8

10

H c

H || c

Eu0.93K0.07Mn2As2

(cm

3 /mol

)

T (K)

ZFC FC ZFC FC

H = 0.1 T

(a)

0 10 20 30 400

5

10

15

0 10 20 30 400

1

2

3

Eu0.93K0.07Mn2As2 0.1 T 0.5 T 1.0 T 2.0 T 3.0 T

(cm

3 /mol

)

T (K)

H c

(b)

(cm

3 /mol

)

T (K)

0 10 20 30 400

1

2

3

H || c

Eu0.93K0.07Mn2As2

(cm

3 /mol

)

T (K)

0.1 T 0.5 T 1.0 T 2.0 T 3.0 T

(c)

FIG. 18: (Color online) (a) Zero-field-cooled (ZFC)and field-cooled (FC) magnetic susceptibility χ of anEu0.93K0.07Mn2As2 crystal versus temperature T for 1.8 K ≤T ≤ 40 K measured in a magnetic field H = 0.1 T applied inthe ab plane (χab,H ⊥ c) and along the c axis (χc, H ‖ c).(b) ZFC χ(T ) for 1.8 K ≤ T ≤ 40 K measured at the indi-cated H ⊥ c. Inset: Expanded plot of χ(T ). (c) ZFC χ(T )for 1.8 K ≤ T ≤ 40 K measured at the indicated H ‖ c.

100 200 3000.00

0.05

0.10

0 50 100 150 200 250 300 3500.0

0.5

1.0

1.5

2.0

2.5(a)

H c

T (K)

(cm

3 /mol

)

Eu0.93K0.07Mn2As2

H = 1.0 T

0

10

20

30

40

1 (m

ol/c

m3 )

(cm

3 /mol

)

T (K)

100 200 3000.00

0.05

0.10

0 50 100 150 200 250 300 3500.0

0.5

1.0

1.5

2.0

Eu0.93K0.07Mn2As2

T (K)

(cm

3 /mol

)

H || c

H = 1.0 T

0

10

20

30

40

1 (m

ol/c

m3 )

(b)

(cm

3 /mol

)

T (K)

FIG. 19: (Color online) Zero-field-cooled magnetic suscepti-bility χ (left ordinate) and its inverse χ−1 (right ordinate)of an Eu0.93K0.07Mn2As2 crystal versus temperature T for1.8 K ≤ T ≤ 350 K measured in a magnetic field H = 1.0 Tapplied (a) in the ab plane (χab,H ⊥ c) and (b) along thec axis (χc,H ‖ c). The solid curves are fits of the χ−1(T )data by the modified Curie-Weiss behavior in the T range75 K ≤ T ≤ 225 K and the dashed curves are the extrapola-tions. Insets: Expanded plots of χ(T ).

mismatch between the temperatures of the highest tran-sition TN1 = 14.5 K for H ‖ c and TN2 = 12.5 K forH ⊥ c obtained in the same field is unusual and is likelya result of the data in Fig. 18(a) not being in the low-fieldlimit. No hysteresis is observed between the ZFC and FCχ for either field direction. From Figs. 18(b) and 18(c),the AFM transitions at TN1 and TN2 become ill-definedfor H ≥ 0.5 T and hence we infer that long-range AFMtransitions may not occur for H ≥ 0.5 T. Cp(T ) mea-surements versus field are needed to clarify this issue.The χ(T ) in Fig. 18(a) is strongly anisotropic with

χab > χc for T > 5.9 K, whereas χab < χc for T < 5.9 K.As with Eu0.97K0.03Mn2As2 above, this T -dependentanisotropy is too strong to be explained by the usual

Page 15: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

15

shape, magnetic-dipole and single-ion anisotropies forHeisenberg spins. We infer that FM correlations beyondMFT and/or interactions with the ordered Mn sublatticecontribute to the strong anisotropy.

The χ(T ) and χ−1(T ) data in the T range 1.8 K ≤T ≤ 350 K measured in H = 1 T are shown in Figs. 19(a)and 19(b) for H ⊥ c and H ‖ c, respectively. The high-Tχ(T ) (insets) and especially χ−1(T ) data in Fig. 19 forboth field orientations show a a strong deviation fromthe extrapolated modified Curie-Weiss behavior (see be-low) above ∼ 250 K, undoubtedly due to FM orderingof a trace amount of MnAs impurity below its Curietemperature of 320 K as seen previously in BaMn2As2crystals [71]. From the data in Fig. 19 we estimate thesaturation magnetization for the MnAs impurities to be≈ 9 G cm3/mol = 0.0016 µB/f.u., which corresponds to0.046 mol% of MnAs impurities using the saturation mo-ment of ≈ 3.5 µB/f.u. [72, 73] for MnAs. This very lowimpurity level is not detectable by XRD.

The fits of the χ−1(T ) data in Fig. 19 by the mod-ified Curie-Weiss law in Eq. (1) over the temperaturerange 75 K ≤ T ≤ 225 K are shown by the solid redcurves in Fig. 19 and the extrapolations are shown asdashed red curves. The parameters obtained from thefits are listed in Table II. The values of C are closeto the value expected for Eu+2. Contrary to χ−1(T )of Eu0.96K0.04Mn2As2 in Fig. 14, there is no obviousanomaly in the χ−1(T ) at ∼ 150 K in Fig. 19 that can beassociated with Mn AFM ordering. However, this tran-sition does appear at 150 K in the Cp(T ) and ρ(T ) databelow.

Isothermal M(H) data for Eu0.93K0.07Mn2As2 areshown in Figs. 20(a) and 20(b) for H ⊥ c and H ‖ c, re-spectively. The isotherms are somewhat similar to thoseof Eu0.96K0.04Mn2As2. For H ⊥ c and T < TN1, theM(H) isotherms exhibit strong negative curvature un-til the magnetization reaches saturation. For H ⊥ cthe isotherm at 10 K has a large initial slope, reminis-cent of FM, which results in crossing over the 1.8 and5 K isotherms at a higher field of ∼ 1 T. This be-havior is unusual. At 1.8 K the Mab(H) data saturateabove H = 3.0 T to Mab

s = 6.54µB/f.u. which yields7.03µB/Eu in agreement with expectation. On the otherhand, at 1.8 K Mc = 6.70µB/f.u. at 5.5 T, which yieldsa moment of 7.20µB/Eu which is slightly larger than thevalue expected for Eu+2.

The isotherms at 1.8 K are shown separately in 20(c).Here one can identify structures in the M(H) isothermsthat are more clearly seen at low field in the left insetand in dM/dH versus H in the right inset, suggestingmetamagnetic transitions. For H ‖ c, one see a very fastdecrease in dM/dH with H , suggesting a possible smallFM component to the ordering. Then a bump occursin dMc/dH at ∼ 3.5 T associated with the saturationbehavior of Mc. For H ⊥ c, the data show a sharp peakat about 0.5 T that is not reflected in the H ‖ c data,suggesting a different type of metamagnetic transitionthan at ∼ 3.5 T inMc(H). Thus theH dependence of the

0 1 2 3 4 5 60

2

4

6

8

H c

(a)

Eu0.93K0.07Mn2As2 200 K 300 K

1.8 K 5 K 10 K 20 K 50 K 100 K

M (

B/f.u

.)

H (T)

0 1 2 3 4 5 60

2

4

6

8

(b)H || c

200 K 300 K

Eu0.93K0.07Mn2As2

M (

B/f.u

.)

H (T)

1.8 K 5 K 10 K 20 K 50 K 100 K

0 1 2 3 4 5 60

2

4

6

8

0 2 4 60

2

4

6

0.0 0.5 1.00

2

4

H || cH c

Eu0.93K0.07Mn2As2

M (

B/f.u

)

H (T)

(c)

1.8 K

dM/d

H (

B/T

)

H (T)

M (

B/f.

u)

H (T)

FIG. 20: (Color online) Magnetization M versus appliedmagnetic field H isotherms for an Eu0.93K0.07Mn2As2 crys-tal measured at the indicated temperatures for H applied(a) in the ab plane (Mab,H ⊥ c) and (b) along the c axis(Mc,H ‖ c). (c) Comparison of H ⊥ c and H ‖ c M(H)isotherms at 1.8 K. Left inset: M(H < 1 T). Right inset:dM/dH versus H .

Page 16: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

16

0 50 100 150 200 250 3000

50

100

150

0 10 20 300

10

20

Eu0.93K0.07Mn2As2

Cp (

J/m

ol K

)

T (K)

(a)

Cp (

J/m

ol K

)

T (K)

SrZn2As2

0 10 20 30 400.0

0.5

1.0

1.5

2.0

0 10 20 30 400

5

10

15

20

(b) Eu0.93K0.07Mn2As2

Cm

ag/T

(J/m

ol E

u K

2 )

T (K)

Sm

ag (J

/mol

Eu

K)

T (K)

R ln8

FIG. 21: (Color online) (a) Heat capacity Cp of anEu0.93K0.07Mn2As2 crystal versus temperature T for 1.8 K ≤T ≤ 300 K measured in zero magnetic field. Inset: Expandedplot of Cp(T ) along with the Cp(T ) of the nonmagnetic ref-erence compound SrZn2As2. (b) Magnetic contribution Cmag

to Cp plotted as Cmag(T )/T versus T per mole of Eu. In-set: Magnetic contribution Smag(T ) to the entropy per moleof Eu. The dashed curve is the extrapolation to T = 0 andthe solid red curve is the MFT prediction for S = 7/2 andTN = 14.5 K.

AFM structure is complex and anisotropic. The orderedMn moments are involved in the field dependences of themagnetization at low T .

B. Heat Capacity

The Cp(T ) data for an Eu0.93K0.07Mn2As2 crystal areshown in Fig. 21(a). For this material two well-definedanomalies in Cp(T ) occur at TN1 = 14.5 K and TN2 =11.9 K that are related to Eu-moment ordering, as shown

0 100 200 300 4000

5

10

15

20

0 10 20 302.42.62.83.03.2

CoolingWarming

(m c

m)

T (K)

Eu0.93K0.07Mn2As2

(m c

m)

T (K)

Warming

FIG. 22: (Color online) ab-plane electrical resistivity ρ of anEu0.93K0.07Mn2As2 crystal versus temperature T for 1.8 K ≤T ≤ 395 K measured in zero magnetic field. Inset: Expandedplot of ρ(T ) data for T < 35 K.

in the inset of Fig. 21(a), which are consistent with thetransitions TN1 and TN2 seen in χ(T ) above. The observa-tion of two anomalies in the Cp(T ) of Eu0.93K0.07Mn2As2is an interesting effect of increasing the K concentration.The Cp(T ) of Eu0.96K0.04Mn2As2 and EuMn2As2 showedonly one anomaly at 13.5 K and 15.0 K, respectively, al-though they both show two anomalies in the χ(T ) data.This difference suggests a change in magnetic structurebrought about by increasing the K concentration to 7%doping.The Cmag(T ) per mole of Eu spins shown as

Cmag(T )/T versus T in Fig. 21(b) were derived as pre-viously and exhibit short-range AFM correlations aboveTN1. The MFT prediction for TN1 = 14.5 K and S = 7/2[54] is shown in Fig. 21(b). The Smag(T ) per mole ofEu spins derived from Cmag(T ) is shown in the inset ofFig. 21(b), where the high-T limit is close to R ln 8 asexpected for S = 7/2.At high T the Cp(T ) data in Fig. 21(a) show a clear

cusp at 150 K that is slightly higher in temperaturethan TN = 146 K in Eu0.96K0.04Mn2As2 and 142 K inEuMn2As2 and thus show a systematic increase in theMn TN with increasing K concentration.

C. Electrical Resistivity

The ab-plane ρ(T ) of an Eu0.93K0.07Mn2As2 crystal isshown in Fig. 22. The overall behavior of ρ(T ) is similarto that of Eu0.96K0.04Mn2As2 in Fig. 17. The ρ(T ) ofEu0.93K0.07Mn2As2 is metallic, arising from the dopedholes induced by K substitution. The ρ shows an S-shaped behavior on cooling through the Mn TN = 150 Kwith an inflection point at TN, similar to the shape

Page 17: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

17

and magnitude of ρ exhibited by Eu0.96K0.04Mn2As2.There is almost no thermal hysteresis in the data asshown in Fig. 22. A double peak in ρ(T ) is observedat TN1 = 14.5 K and TN2 = 11.5 K as shown in the in-set of Fig. 22. The appearance of these two peaks maybe associated with the formation of superzone gaps asinferred for Eu0.96K0.04Mn2As2. However, compared toEu0.96K0.04Mn2As2, we see two transitions in the low-T ρ(T ) data for Eu0.93K0.07Mn2As2 compared to one informer compound. This suggests a possible change in theAFM structure of the Eu moments at the higher K con-centration.

VII. SUMMARY AND DISCUSSION

A. EuMn2As2 and Related Compounds

We have presented the results of a comprehensive studyof the physical properties of Eu1−xKxMn2As2 (x = 0,0.04, 0.07) single crystals based on χ(T ), M(H), Cp(T )and ρ(T ) measurements.For undoped EuMn2As2, the ρ(T ) data indicate a

small band-gap semiconducting behavior (activation en-ergy ≈ 52 meV) with an insulating ground state. Theχ(T ) and Cp(T ) data together reveal long-range AFMordering of Eu+2 moments with S = 7/2 below TN1 =15.0 K with a spin reorientation transition at TN2 =5.0 K. The ordered moment of 7 µB/Eu observed fromthe M(H) isotherms agrees with the calculated satura-tion moment µsat = gSµB/Eu with S = 7/2 and g = 2.This spin value is also consistent with the magnetic en-tropy Smag(T = 50 K) derived from Cmag(T ). The χ(T )and M(H) data suggest that the AFM structure of theEu spins is a noncollinear, noncoplanar structure. AFMordering of the Mn spins in EuMn2As2 is inferred fromthe high-T χ(T ) and Cp(T ) data which indicate that theMn Neel temperature is TN = 142 K. Although our mea-surements yield no information on the AFM structureof the Mn spins below their TN, we note that the Mnspins in the very similar SrMn2As2 compound have acollinear AFM structure with the easy axis aligned withinthe ab plane [49]. We see no clear evidence from M(H)isotherms between 2 and 20 K of metamagnetic transi-tions in EuMn2As2 in fields up to 14 T.Some representative crystallographic and magnetic or-

dering data for AM2X2 compounds with the trigonalCaAl2Si2-type structure are given in Table III [40, 43,44, 46–50, 64, 74–77], including data for EuMn2As2 crys-tals from the present work. The Eu AFM ordering tem-perature of TN = 9–16 K does not vary much betweenthe different compounds. Similarly, for Mn the TN val-ues are all in the relatively narrow range 53 to 154 K.In contrast, BaMn2As2 [51–54] and BaMn2Bi2 [78] withstacked Mn square lattices in the body-centered tetrag-onal ThCr2Si2-type structure have higher TN = 625 Kand 400 K, respectively.We now discuss the variation in TN of these materi-

als with reference to the Mn–Mn exchange interactionsdetermined from inelastic neutron scattering measure-ments on ThCr2Si2-type BaMn2As2 [54] and BaMn2Bi2[79] and CaAl2Si2-type CaMn2Sb2 [80]. The spin-wavespectra were all modeled in terms of the J1-J2-Jc model,where J1 and J2 are the nearest- and next-nearest-neighbor exchange interactions within the Mn ab-planesquare-lattice layer in BaMn2As2 or within the ab-planecorrugatedMn honeycomb lattice layer in CaMn2Sb2 andJc is the nearest-neighbor interaction along the c axisof the respective layers. Here the Heisenberg exchangeinteraction between a distinct pair of spins is writtenJijSi · Sj . These exchange interactions are listed in Ta-ble IV along with the number zj of respective neighbors jof a given spin i.Within MFT, TN and the Weiss temperature θp in

the Curie-Weiss law for a system containing identicalcrystallographically-equivalent spins is given by [65, 81]

TN = −S(S + 1)

3kB

j

Jij cosφji, (3a)

θp = −S(S + 1)

3kB

j

Jij , (3b)

where the sums are over neighbors j of a given spin ithat interact with spin i with Heisenberg exchange con-stant Jij and φji is the angle between ordered moments~µj and ~µi in the AFM-ordered state. Positive interac-tions J1, J2 and Jc are AFM, negative ones are FM, andthe angles are φji = π for J1 and Jc and 0 for J2 forboth AFM structures discussed here. The values of TN

and θp predicted by Eqs. (3) are given in Table IV (seealso [82]). The TN predicted by MFT from the exchangeconstants is seen to overestimate the measured TN byroughly a factor of two for the three compounds. On theother hand, classical Monte Carlo simulations of TN usingthe exchange constants in Table IV for BaMn2As2 pre-dicted a TN in close agreement with the observed value[54]. This implies that classical thermal fluctuations as-sociated with the quasi-low dimensionality of the spinlattice and bond frustration associated with J2 are re-sponsible for the suppresion of TN from the MFT valuein all three compounds. A different interpretation forthe suppression of the observed TN in CaMn2Sb2 fromits MFT TN value (but see Ref. 82) is given in Ref. 80,where the authors infer that the suppression is due toclassical fluctuations of the system between the observedcollinear Neel AFM structure and two competing non-collinear (“spiral”) AFM structures.

B. Eu1−xKxMn2As2, x = 0.04 and 0.07

We find that a 4% substitution of K for Eu inEu0.96K0.04Mn2As2 is sufficient to change the groundstate of EuMn2As2 from insulating to metallic as revealedfrom ρ(T ) measurements. This insulator-to-metal tran-sition occurs due to doping of itinerant holes into the

Page 18: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

18

TABLE III: Trigonal lattice parameters and unit cell volume (hexagonal setting) at room temperature and magnetic orderingtemperatures Tm (FM or AFM) for AM2X2 compounds with the CaAl2Si2-type structure. Also included are the maximumobserved ordered or saturation moments µsat. PW means the present work and NA means not applicable.

Compound a c c/a Vcell Eu Tm Eu µsat Mn Tm Mn µsat Ref.

(A) (A) (A3) (K)(

µB

Eu atom

)

(K)(

µB

Mn atom

)

SrMn2P2 4.1680(5) 7.137(1) 1.7123 107.38 NA AFM 53(1)a 64

EuMn2P2 4.1294(3) 6.9936(8) 1.6936 103.28 AFM 16.5(3)a,c 6.98(35)a 43

CaMn2As2 4.2377(1) 7.0333(2) 1.6597 109.39 NA AFM 62(3)b,c 48

SrMn2As2 NA AFM 120(2)b,c 48

SrMn2As2 NA AFM 118(2)a 3.6(2)a 49

SrMn2As2 4.2966(1) 7.2996(2) 1.6989 116.70 NA AFM 125c 50

EuMn2As2 4.2846(1) 7.2217(3) 1.6855 114.81 AFM 15.0, 5.0b,c 7.0c AFM 142b PW

CaMn2Sb2 4.5328(2) 7.4870(4) 1.6517 133.22 NA AFM 85c ≈ 3.3a 74

CaMn2Sb2 NA AFM 88(1)a,b 2.8(1)a 75

CaMn2Sb2 NA FM 220b,c, AFM 85b,c 0.007c (FM) 46

EuMn2Sb2 4.526(2) 7.445(3) 1.645 132.1 AFM 9.4(1)c ≈ 7c AFM 128b 44

EuZn2Sb2 4.4932(7) 7.617(1) 1.6952 133.18 AFM 13.1b ,c 6.87(2)c NA 37

EuZn2Sb2 4.4852(4) 7.593(1) 1.6929 132.28 AFM 13b,c 7.0c NA 40

YbZn2Sb2 4.4366(3) 7.401(1) 1.6682 126.15 NA (Yb+2)d NA 40

YbMn2Sb2 4.5289(4) 7.4503(8) 1.6451 132.34 NA (Yb+2)d AFM 120a 3.6(1)a 76

CaMn2Bi2 NA AFM 154a ,b 3.85a 47

CaMn2Bi2 4.63(1) 7.64(1) 1.650 141.8 77

aFrom neutron diffraction measurementsbFrom heat capacity measurementscFrom magnetization and/or magnetic susceptibility measure-

mentsdYb+2 has a 4f14 electronic configuration and hence does not

carry a local moment

TABLE IV: Exchange interactions between Mn spins inThCr2Si2-type BaMn2As2 (Ref. 54) and BaMn2Bi2 (Ref. 79)and CaAl2Si2-type CaMn2Sb2 (Ref. 80). All Mn–Mn ex-change interactions are positive (antiferromagnetic) for eachcompound. Also listed are the measured TN values and theTN and Weiss temperature θp in Eq. (1) calculated from theexchange interactions using the MFT predictions in Eqs. (3)assuming Mn spin S = 2. The f ratios for the compounds arealso given. A number in parentheses is the estimated error inthe last digit of the listed quantity.

BaMn2As2 BaMn2Bi2 CaMn2Sb2

SJ1 (meV) 33(3) 21.7(15) 7.9(6)

z1 4 4 3

SJ2 (meV) 9.5(13) 7.85(140) 1.3(2)

z2 4 4 6

SJc (meV) 1.5 1.26(2) 0.51(5)

zc 2 2 2

TN (K, observed) 625 400 88

TN (K, MFT, S = 2) 1125(200) 670(140) 200(40)

θp (K, MFT, S = 2) −2010(200) −1400(140) −380(40)

f ≡ θp/TN (MFT) −1.8(6) −2.1(8) −1.9(7)

system arising from the partial substitution of Eu+2 byK+1. A similar insulator to metal transition arises froma small 1.6% substitution of K for Ba in BaMn2As2 [55].We also see evidence for a change in magnetic structureof the Eu moments in Eu0.96K0.04Mn2As2 from that inundoped EuMn2As2. The low-T χ(T ) exhibits AFM or-dering of Eu+2 moments below TN1 = 13.5 K and a spinreorientation at TN2 = 9.0 K. The high-T χ(T ) exhibitsan anomaly at ∼ 150 K that we interpret as the MnAFM transition temperature. The high-T Cp(T ) con-firms the Mn TN = 146 K. The χ−1(T ) data also suggesta transition at 275 K of unknown origin. Like EuMn2As2,the low-T Cp(T ) of Eu0.96K0.04Mn2As2 shows a singleanomaly at TN1 (no anomaly at TN2) related to AFMordering of Eu+2.

With the higher K concentration inEu0.93K0.07Mn2As2 we see further changes in thephysical properties. The anisotropy at low T betweenχab and χc cannot be explained by the conventionalshape, magnetic-dipole and single-ion anisotropies. Thelow-T χ(T ) of Eu0.93K0.07Mn2As2 shows two transitiontemperatures at TN1 = 14.5 K and TN2 = 12.5 K. Thehigh-T χ(T ) anomaly at the Mn TN which appears as aresult of 4% K-substitution in EuMn2As2 disappears at7% K concentration. On the other hand, both Cp(T ) and

Page 19: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

19

ρ(T ) of Eu0.93K0.07Mn2As2 show clear anomalies near150 K similar to the case of Eu0.96K0.04Mn2As2 that areascribed to AFM ordering of the Mn spins. Both Cp(T )and ρ(T ) of Eu0.93K0.07Mn2As2 exhibit two well-definedanomalies related to AFM ordering of Eu+2 whereasonly one anomaly is seen for x = 0 and 0.04. Furtherinvestigations are required to understand the complexmagnetic structures of Eu1−xKxMn2As2 (x = 0, 0.04and 0.07).Perhaps the most interesting feature of both

Eu0.96K0.04Mn2As2 and Eu0.93K0.07Mn2As2 is ananomalous T dependence of ρ. Both compounds showa strongly S-shaped metallic behavior of ρ(T ) wheredρ/dT > 0 for T > 50 K, but where an inflection pointoccurs at the Mn TN of 146 K and 150 K, respectively.Thus upon cooling, ρ exhibits a strong downturn below∼ 200 K, reaches maximum positive slope at the Mn TN,and then continues to decrease but more slowly belowTN. Normally, one only sees such effects below magnetic

ordering temperatures. Here, the resistivity seems to beprobing the dynamic short-range AFM order of the Mnspins above their TN where there is no static orderedmoment. Perhaps the reason it can be observed is thelarge magnitude of ρ in these compounds.

Acknowledgments

Helpful discussions with Pinaki Das, Alan Goldman,Andreas Kreyssig and Abhishek Pandey are gratefullyacknowledged. This research was supported by the U.S.Department of Energy, Office of Basic Energy Sciences,Division of Materials Sciences and Engineering. AmesLaboratory is operated for the U.S. Department of En-ergy by Iowa State University under Contract No. DE-AC02-07CH11358.

[1] D. C. Johnston, Adv. Phys. 59, 803 (2010).[2] G. R. Stewart, Rev. Mod. Phys. 83, 1589 (2011).[3] D. J. Scalapino, Rev. Mod. Phys. 84, 1383 (2012).[4] E. Dagotto, Rev. Mod. Phys. 85, 849 (1913).[5] R. M. Fernandes, A. V. Chubukov, and J. Schmalian,

Nat. Phys. 10, 97 (2014).[6] H. Hosono and K. Kuroki, Physica C 514, 399 (2015).[7] P. Dai, Rev. Mod. Phys. 87, 855 (2015).[8] D. S. Inosov, Compt. Rend. Phys. 17, 60 (2016).[9] Q. Si, R. Yu, and E. Abrahams, Nat. Rev. Mater. 1, 1

(2016).[10] H. S. Jeevan, Z. Hossain, D. Kasinathan, H. Rosner,

C. Geibel, and P. Gegenwart, Phys. Rev. B 78, 092406(2008).

[11] Z. Ren, Z. W. Zhu, S. A. Jiang, X. F. Xu, Q. Tao, C.Wang, C. M. Feng, G. H. Cao, and Z. A. Xu, Phys. Rev.B 78, 052501 (2008).

[12] Anupam, P. L. Paulose, S. Ramakrishnan, and Z. Hos-sain, J. Phys.: Condens. Matter 23, 455702 (2011).

[13] S. Jiang, H. Xing, G. Xuan, Z. Ren, C. Wang, Z. A. Xu,and G. Cao, Phys. Rev. B 80, 184514 (2009).

[14] Z. Guguchia, S. Bosma, S. Weyeneth, A. Shengelaya, R.Puzniak, Z. Bukowski, J. Karpinski, and H. Keller, Phys.Rev. B 84, 144506 (2011).

[15] Z. Ren, Q. Tao, S. Jiang, C. Feng, C. Wang, J. Dai, G.Cao, and Z. Xu, Phys. Rev. Lett. 102, 137002 (2009).

[16] H. S. Jeevan, D. Kasinathan, H. Rosner, and P. Gegen-wart, Phys. Rev. B 83, 054511 (2011).

[17] C. F. Miclea, M. Nicklas, H. S. Jeevan, D. Kasinathan,Z. Hossain, H. Rosner, P. Gegenwart, C. Geibel, and F.Steglich, Phys. Rev. B 79, 212509 (2009).

[18] U. B. Paramanik, Debarchan Das, R. Prasad and Z. Hos-sain, J. Phys.: Condens. Matter 25, 265701 (2013).

[19] N. Kurita, M. Kimata, K. Kodama, A. Harada, M.Tomita, H. S. Suzuki, T. Matsumoto, K. Murata, S. Uji,and T. Terashima, Phys. Rev. B 83, 214513 (2011).

[20] W. T. Jin, S. Nandi, Y. Xiao, Y. Su, O. Zaharko, Z.Guguchia, Z. Bukowski, S. Price, W. H. Jiao, G. H. Cao,and Th. Bruckel, Phys. Rev. B 88, 214516 (2013).

[21] S. Nandi, W. T. Jin, Y. Xiao, Y. Su, S. Price, D. K.Shukla, J. Strempfer, H. S. Jeevan, P. Gegenwart, andT. Bruckel, Phys. Rev. B 89, 014512 (2014).

[22] W. T. Jin, W. Li, Y. Su, S. Nandi, Y. Xiao, W. H. Jiao,M. Meven, A. P. Sazonov, E. Feng, Y. Chen, C. S. Ting,G. H. Cao, and Th. Bruckel, Phys. Rev. B 91, 064506(2015).

[23] V. K. Anand, D. T. Adroja, A. Bhattacharyya, U. B.Paramanik, P. Manuel, A. D. Hillier, D. Khalyavin, andZ. Hossain, Phys. Rev. B 91, 094427 (2015).

[24] V. K. Anand, P. K. Perera, A. Pandey, R. J. Goetsch, A.Kreyssig, and D. C. Johnston, Phys. Rev B 85, 214523(2012).

[25] V. K. Anand and D. C. Johnston, Phys. Rev. B 86,214501 (2012).

[26] A. Pandey, D. G. Quirinale, W. Jayasekara, A. Sapkota,M. G. Kim, R. S. Dhaka, Y.Lee, T. W. Heitmann, P.W. Stephens, V. Ogloblichev, A. Kreyssig, R. J. Mc-Queeney, A. I. Goldman, A. Kaminski, B. N. Harmon, Y.Furukawa, and D. C. Johnston, Phys. Rev. B 88, 014526(2013).

[27] V. K. Anand, H. Kim, M. A. Tanatar, R. Prozorov, andD. C. Johnston, Phys. Rev. B 87, 224510 (2013).

[28] V. K. Anand, R. S. Dhaka, Y. Lee, B. N. Harmon, A.Kaminski, and D. C. Johnston, Phys. Rev. B 89, 214409(2014).

[29] V. K. Anand, D. G. Quirinale, Y. Lee, B. N. Harmon, Y.Furukawa, V. V. Ogloblichev, A. Huq, D. L. Abernathy,P. W. Stephens, R. J. McQueeney, A. Kreyssig, A. I.Goldman, and D. C. Johnston, Phys. Rev. B 90, 064517(2014).

[30] V. K. Anand and D. C. Johnston, J. Phys.: Condens.Matter 26, 286002 (2014).

[31] V. K. Anand and D. C. Johnston, Phys. Rev. B 91,184403 (2015).

[32] R. Ruhl and W. Jeitschko, Mater. Res. Bull. 14, 513(1979).

[33] C. Zheng and R. Hoffmann, J. Solid State Chem. 72, 58(1988).

Page 20: arXiv:1606.03969v1 [cond-mat.str-el] 13 Jun 2016trical resistivity ρ measurements on undoped EuMn 2As 2 and K-doped Eu 0.96K 0.04Mn 2As 2 and Eu 0.93K 0.07Mn 2As 2 single crystals

20

[34] P. Klufers and A. Mewis, Z. Naturforsch. 32b, 753(1977).

[35] P. Klufers and A. Mewis, Z. Kristallogr. 169, 135 (1984).[36] F. Gascoin, S. Ottensmann, D. Stark, S. M. Haile, and

G. J. Snyder, Adv. Funct. Mater. 15, 1860 (2005).[37] H. Zhang, J.-T. Zhao, Y. Grin, X.-J. Wang, M.-B. Tang,

Z.-Y. Man, H.-H. Chen, and X.-X. Yang, J. Chem. Phys.129, 164713 (2008).

[38] E. S. Toberer, A. F. May, B. C. Melot, E. Flage-Larsen,and G. J. Snyder, Dalton Trans. 39, 1046 (2010).

[39] F. Weber, A. Cosceev, S. Drobnik, A. Faißt, K. Grube, A.Nateprov, C. Pfleiderer, M. Uhlarz, and H. v. Lohneysen,Phys. Rev. B 73, 014427 (2006).

[40] A. F. May, M. A. McGuire, J. Ma, O. Delaire, A. Huq,and R. Custelcean, J. Appl. Phys. 111, 033708 (2012).

[41] H. Zhang, Liang Fang, M.-B. Tang, H.-H. Chen, X.-X.Yang, X. Guo, J.-T. Zhao, and Y. Grin, Intermetallics18, 193 (2010).

[42] Y. Goryunov, V. Fritsch, H. v. Lohneysen, and ANateprov, J. Phys.: Conf. Ser. 391, 012015 (2012).

[43] A. C. Payne, A. E. Sprauve, M. M. Olmstead, S. M.Kauzlarich, J. Y. Chan, B. A. Reisner, and J. W. Lynn,J. Solid State Chem. 163, 498 (2002).

[44] I. Schellenberg, M. Eul, W. Hermes, and R. Pottgen, Z.Anorg. Allg. Chem. 636, 85 (2010).

[45] From the magnetization data in [44], it appears to us thatthe FM reported above 128 K that is attributed to FMordering of the Mn spins is due to FM MnSb impuritieswith a Curie temperature of ∼ 530 K.

[46] J. W. Simonson, G. J. Smith, K. Post, M. Pezzoli, J. J.K. Morris, D. E. McNally, J. E. Hassinger, C. S. Nelson,G. Kotliar, D. N. Basov, and M. C. Aronson, Phys. Rev.B 86, 184430 (2012).

[47] Q. D. Gibson, H. Wu, T. Liang, M. N. Ali, N. P. Ong, Q.Huang, and R. J. Cava, Phys. Rev. B 91, 085128 (2015).

[48] N. S. Sangeetha, A. Pandey, Z. A Benson, and D. C.Johnston, arXiv:1605.02052.

[49] P. Das, N. S. Sangeetha, A. Pandey, Z. A. Benson, T.W. Heitmann, D. C. Johnston, A. I. Goldman, and A.Kreyssig, arXiv:1605.02004.

[50] Z. W. Wang, H. X. Yang, H. F. Tian, H. L. Shi, J. B. Lu,Y. B. Qin, Z. Wang, and J. Q. Li, J. Phys. Chem. Solids72, 457 (2011).

[51] Y. Singh, A. Ellern, and D. C. Johnston, Phys. Rev. B79, 094519 (2009).

[52] J. An, A. S. Sefat, D. J. Singh, and M. H. Du, Phys. Rev.B 79, 075120 (2009).

[53] Y. Singh, M. A. Green, Q. Huang, A. Kreyssig, R. J.McQueeney, D. C. Johnston, and A. I. Goldman, Phys.Rev. B 80, 100403 (2009).

[54] D. C. Johnston, R. J. McQueeney, B. Lake, A. Ho-necker, M. E. Zhitomirsky, R. Nath, Y. Furukawa, V.P. Antropov, and Y. Singh, Phys. Rev. B 84, 094445(2011).

[55] A. Pandey, R. S. Dhaka, J. Lamsal, Y. Lee, V. K. Anand,A. Kreyssig, T. W. Heitmann, R. J. McQueeney, A. I.Goldman, B. N. Harmon, A. Kaminski, and D. C. John-ston, Phys. Rev. Lett. 108, 087005 (2012).

[56] J.-K. Bao, H. Jiang, Y.-L. Sun, W.-H. Jiao, C.-Y. Shen,H.-J. Guo, Y. Chen, C.-M. Feng, H.-Q. Yuan, Z.-A. Xu,G.-H. Cao, R. Sasaki, T. Tanaka, K. Matsubayashi, andY. Uwatoko, Phys. Rev. B 85, 144523 (2012).

[57] J. Lamsal, G. S. Tucker, T. W. Heitmann, A. Kreyssig,A. Jesche, A. Pandey, W. Tian, R. J. McQueeney, D. C.

Johnston, and A. I. Goldman, Phys. Rev. B 87, 144418(2013).

[58] A. Pandey, B. G. Ueland, S. Yeninas, A. Kreyssig, A.Sapkota, Y. Zhao, J. S. Helton, J. W. Lynn, R. J. Mc-Queeney, Y. Furukawa, A. I. Goldman, and D. C. John-ston, Phys. Rev. Lett. 111, 047001 (2013).

[59] A. Pandey and D. C. Johnston, Phys. Rev. B 92, 174401(2015).

[60] J. Rodrıguez-Carvajal, Physica B 192, 55 (1993); see alsowww.ill.eu/sites/fullprof/.

[61] A. Mewis, Z. Naturforsch. 35b, 939 (1980).[62] C. Zheng, R. Hoffmann, R. Nesper, and H. G. von

Schnering, J. Am. Chem. Soc. 108, 1876 (1986).[63] J. K. Burdett, and G. Miller, J. Chem. Mater. 2, 12

(1990).[64] S. L. Brock, J. E. Greedan, and S. M. Kauzlarich, J. Solid

State Chem. 113, 303 (1994).[65] D. C. Johnston, Phys. Rev. B 91, 064427 (2015). For the

uncensored version of this paper containing comparisonsof the molecular field theory with experiments see arXiv:1407.6353v1.

[66] R. J. Goetsch, V. K. Anand, A. Pandey, and D. C. John-ston, Phys. Rev. B 85, 054517 (2012).

[67] D. C. Johnston, Phys. Rev. B 93, 014421 (2016).[68] R. J. Elliott and F. A. Wedgwood, Proc. Phys. Soc. 81,

846 (1963).[69] R. J. Elliott and F. A. Wedgwood, Proc. Phys. Soc. 84,

63 (1964).[70] M. Ellerby, K. A. McEwen, and J. Jensen, Phys. Rev. B

57, 8416 (1998).[71] Y. Singh, A. Ellern, and D. C. Johnston, Phys. Rev. B

79, 094519 (2009).[72] S. Haneda, N. Kazama, Y. Yamaguchi, and H. Watanabe,

J. Phys. Soc. Jpn. 42, 1201 (1977).[73] B. Saparov, J. E. Mitchell, and A. S. Sefat, Supercond.

Sci. Technol. 25, 084016 (2012).[74] C. A. Bridges, V. V. Krishnamurthy, S. Poulton, M. P.

Paranthaman, B. C. Sales, C. Myers, and S. Bobev, J.Magn. Magn. Mater. 321, 3652 (2009).

[75] W. Ratcliff II, A. L. Lima Sharma, A. M. Gomes, J. L.Gonzalez, Q. Huang, and J. Singleton, J. Magn. Magn.Mater. 321, 2612 (2009).

[76] A. V. Morozkin, O. Isnard, P. Henry, S. Granovsky, R.Nirmala, and P. Manfrinetti, J. Alloys Compd. 420, 34(2006).

[77] G. Cordier and H. Schaefer, Z. Naturforsch. B 31, 1459(1976).

[78] B. Saparov and A. S. Sefat, J. Solid State Chem. 204,32 (2013).

[79] S. Calder, B. Saparov, H. B. Cao, J. L. Niedziela, M.D. Lumsden, A. S. Sefat, and A. D. Christianson, Phys.Rev. B 89, 064417 (2014).

[80] D. E. McNally, J. W. Simonson, J. J. Kister-Morris,G. J. Smith, J. E. Hassinger, L. DeBeer-Schmitt, A. I.Kolesnikov, I. A. Zaliznyak, and M. C. Aronson, Phys.Rev. B 91, 180407(R) (2015).

[81] D. C. Johnston, Phys. Rev. Lett. 109, 077201 (2012).[82] In the equation at the bottom of column 1 on page 4

of Ref. 80, the sign in front of the frustrating AFM in-teraction 6SJ2 should be negative rather than positive,leading to TN = 200 K from MFT for S = 2 insteadof the quoted value of 370 K which is instead the Weisstemperature in the Curie-Weiss law as listed in Table IV.