in quantum point contacts - ufu · gerson j. ferreira [email protected] 21/02/2014...

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Florian Bauer (1,2) , Jan Heyder (1,2) , Enrico Schubert (1) , David Borowsky (1) , Daniela Taubert (1) , Benedikt Bruognolo (1,2) , Dieter Schuh (3) , Werner Wegscheider (4) , Jan von Delft (1,2) , Stefan Ludwig (1) [1] Center for NanoScience and Fakultät für Physik, Ludwig-Maximilians-Universität München [2] Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München [3] Institut für Angewandte Physik, Universität Regensburg [4] Laboratory for Solid State Physics, ETH Zürich Journal Club @ InFis – UFU Gerson J. Ferreira [email protected] 21/02/2014 Microscopic origin of the 0.7-anomaly in quantum point contacts Nature 501 , 73 (2013) Odd and even Kondo effects from emergent localization in QPCs Iqbal, Levy, Koop, Dekker, de Jong, van der Velde, Reuter, Wieck, Aguado, Meir, van der Wal Nature 501 , 79 (2013)

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Page 1: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Florian Bauer(1,2), Jan Heyder(1,2), Enrico Schubert(1), David Borowsky(1), Daniela Taubert(1), Benedikt Bruognolo(1,2), Dieter Schuh(3), Werner Wegscheider(4), Jan von Delft(1,2), Stefan Ludwig(1)[1] Center for NanoScience and Fakultät für Physik, Ludwig-Maximilians-Universität München[2] Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München[3] Institut für Angewandte Physik, Universität Regensburg[4] Laboratory for Solid State Physics, ETH ZürichJournal Club @ InFis – UFUGerson J. [email protected]

21/02/2014

Microscopic origin of the 0.7-anomaly“ ”in quantum point contactsNature 501, 73 (2013)

Odd and even Kondo effects from emergent localization in QPCsIqbal, Levy, Koop, Dekker, de Jong, van der Velde, Reuter, Wieck, Aguado, Meir, van der WalNature 501, 79 (2013)

Page 2: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

What lurks below the last plateau: experimental studies of the 0.7 × 2e2/h conductance anomaly in one-dimensional systemsTOPICAL REVIEW

A. P. Micolich, School of Physics, University of New South Wales, Sydney, AustraliaJ. Phys.: Condens. Matter 23 (2011) 443201

[Thomas, Nicholls, Simmons, Pepper, Mace, Ritchie, PRL 77, 135 (1996)]~ 18 years old!!!

✗ Spontaneus spin polarization✗ Kondo effect✗ Luttinger Liquid✗ Phenomenological spin-gap✗ Subband pinning✗ e-phonon interaction✗ …

News & Views:QPC: Double or nothing? A. P. Micolich, Nature Physics 9, 530 (2013)

[Cronenwett, Lynch, Goldhaber-Gordon, Kouwenhoven, Marcus, Hirose, Wingreen, Umansky, PRL 88, 226805 (2002)]

Page 3: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73
Page 4: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

The non-interacting picture2DEG 2DEGQPC/wire

xy

QPC as an infinite wire

Conductance via Landauer

Coupling to the leads:[Büttiker, PRB 41, 7906 (1990)]

Page 5: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Increasingtemperature

Increasingmagnetic field

Page 6: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

11/23/2

2DEG 2DEGQPC/wire

Page 7: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Microscopic origin of the 0.7-anomaly in quantum point contacts“ ” Nature 501, 73 (2013)

SOPT: second order perturbation theory (Hartree and Fock diagrams)fRG: functional renormalization group

Page 8: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

LDOS

jvan Hove singularity

Page 9: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

LDOSCharge densityMagnetizationSpin susceptibilityFriedel oscillations

Page 10: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

VG

FRG

V

SOPT Experiment

V

Low temperature, increasing B

Increasingmagnetic fieldNon-interacting

+Diamagnetic shift

Page 11: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

ExperimentSOPTB = 0, increasing temperature

IncreasingtemperatureCheck papers fromTobias Micklitz(CBPF)

Page 12: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Zero bias (anomalous) peakExperiment SOPT

Page 13: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Predictions from SOPTTobias Micklitz(CBPF) ZBP

Page 14: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73

Is the mystery solved?- Fixed conductance point below 0.5- Zero bias peak without Kondo- what about the high bias regime?- new Friedel oscillations and the length dependence?

the actual 0.7 plateau is not there!!

Page 15: in quantum point contacts - UFU · Gerson J. Ferreira gersonjferreira@infis.ufu.br 21/02/2014 Microscopic origin of the 0.7-anomaly“ ” in quantum point contacts Nature 501, 73