Search for Competing Order-parameters in Cuprates using FT-STS

J. E. Hoffman, K. McElroy, E.W. Hudson, H Eisaki, S. Uchida & J. C. Seamus Davis

Research Support:

Superconductors: other phases?

Conventional, Low Tc High Tc cuprates

Orenstein & Millis, Science 288, 5465

SCAF

H. Kammmerlingh-Onnes,Commun. Phys. Lab. 12, 120 (1911)

superconducting

Fermi liquid

So many proposed phasesthey won’t fit in this small space...

Theory: many proposed phases...

Coexisting SDW/CDWDemler, Sachdev, Zhang, PRL 87, 067202

Franz, et al., condmat/0203219QED3

Varma phaseVarma, PRB 61, R3804

Staggered Flux PhaseKishine, Lee & Wen, PRL 86, 5365

Fractionalized Nodal Liquid:Superconductivity without pairing?

Senthil & Fisher, PRB 62, 7864 (2001)

STRIPESS. White, Zaanen,

Kivelson, Emery, etc.

D-density wave (DDW)Chakravarty, Laughlin, et al.,PRB 63, 094503

SO(5) theoryS.C. Zhang, Science 275, 1089

Theory: many proposed phases...

Background: Common Phenomenology of Vortex Cores in HTSC

0 1200 Å

• I. Maggio-Aprile et al., Phys. Rev. Lett. 75, 2754 (1995)

• S. H. Pan et al., Phys. Rev. Lett. 85, 1536 (2000)

0 500Å0 1000Å

1

0.1

0 15 30 45 60 75Distance from core [Å]

Norm

aliz

ed d

I/dV

ExponentialDecay of

Core State BSCCO

-200 -100 0 100 200V sample [mV]

2

1

dI/dV

[nS]

dI/dV spectra on Bi2Sr2CaCu2O8+x surface in B=7 Tesla

30 nm

7 meV LDOS

Pan, PRL 85,1536 (2000)

560 Å

B = 0 T B = 5 T

Topographies

560 Å

1.1 Å

0 Å

xy

560 Å

B = 0 T B = 5 T

E = 12 meV

560 Å

0.5 nS

0 nS

xy

Reproducibility of vortex data

Raw data: 7 meV LDOS 560 Å x 560 Å

Raw data: 8 meV LDOS 565 Å x 565 Å

0.5% Ni-doped BSCCO 0.6% Zn-doped BSCCO

xyxy

2 pA

0 pA

Vortex-induced LDOS (5 Tesla)

Science 266, 455 (2002)

560 Å

xy

Fourier Transform of Vortex LDOS map

vortex induced LDOS Bi and Cu atoms

Data: Schematic:

Science 266, 455 (2002)

~(1/4,0)

supermodulation

xy

Coexisting SDW/CDW ?