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A Finite-Temperature Insulator? A Finite-Temperature Insulator?

A Finite-Temperature Insulator? - PowerPoint Presentation

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A Finite-Temperature Insulator? - PPT Presentation

Idan Tamir Weizmann Institute of Science Collaborators M Ovadia D Kalok S Mitra B Sacepe and D Shahar httparxivorgabs14067510 International Workshop Localization Interactions and ID: 319786

rev phys lett amp phys rev amp lett electrons shahar 2007 interacting mbl altshuler aleiner stable ino finite coupling

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Slide1

A Finite-Temperature Insulator?

Idan Tamir

Weizmann Institute of Science

Collaborators - M.

Ovadia

, D.

Kalok

,

S.

Mitra

, B.

Sacepe

and D.

Shahar

http://arxiv.org/abs/1406.7510

International

Workshop

Localization, Interactions and

Superconductivity

Chernogolovka

, Russia, June 29 - July 3, 2015Slide2

P. W. Anderson, Phys. Rev. 109, 1492 (1958)

Gornyi

, I. V., Mirlin, A. D. & Polyakov, D. G. Phys. Rev. Lett. 95, 206603 (2005)Basko, D. M., Aleiner, I. L. & Altshuler, B. L. Annals of Phys. 321, 1126 (2006)Oganesyan, V. & Huse, D. A. Phys. Rev. B 75, 155111 (2007)

Many Body Localization (MBL)

Interacting

electrons

Disordered

Low-dimensional

Electrons are decoupled

from any external bath Slide3

Interacting

electrons

DisorderedLow-dimensionalWeak e-ph coupling

Basko, D. M.,

Aleiner, I. L. & Altshuler, B. L. Phys. Rev. B 76, 052203 (2007).Cold atoms: Schreiber

,

M.,

Hodgman

, S. S., Bordia, P., Lüschen, H. P., Fischer, M. H., Vosk, R., Altman, E., Schneider, U., Bloch, I. eprint arXiv:1501.05661

Bi-stable

I-V curve

Experimental

R

equirements for Observation of MBLSlide4

a:InO

Hebard

, A. F. & Paalanen, M. A. Phys. Rev. Lett. 65, 927 (1990)Yazdani, A. & Kapitulnik, Phys. Rev. Lett. 74, 3037 (1995)Slide5

Observation of Bi-stable I-V

curves in a:InOG. Sambandamurthy, L. W. Engel, A. Johansson, E. Peled, and D. Shahar Phys. Rev. Lett. 94, 017003 (2005)Baturina, T. I., Mironov, A. Y.,

Vinokur, V. M., Baklanov, M. R. & Strunk, C. Phys. Rev. Lett. 99, 257003 (2007)

T=10

mKSlide6

Bi-stable I-V

curvesOverheated Electrons Model M. Ovadia, B. Sacepe, and D. Shahar, Phys. Rev. Lett. 102, 176802 (2009)B. L.

Altshuler, V. E. Kravtsov, I. V. Lerner, and I. L. Aleiner, Phys. Rev. Lett. 102, 176803 (2009

)

Simulated data

Electrons are weakly coupled to the phonons Slide7

a:InO a Possible Finite Temperature Insulator

Disordered

Low-dimensionalInteracting electronsWeak e-ph coupling

Disordered

Low-dimensional

Weak e-

ph

coupling

Interacting electrons

Cooper pairs

Feigel’man

, M. V.,

Ioffe

, L. B. &

M´ezard

, M

.

Phys

. Rev. B 82, 184534 (2010

)Slide8

Earlier Studies Measured Activation

Sambandamurthy

, G., Engel, L. W., Johansson, A. & Shahar, D.

Phys. Rev. Lett. 92, 107005 (2004

).

 

 Slide9

An Effort to Measure Higher

R

Fix T and B

Wait 1 hourRamp V

Wait 10 secondsMeasure IExtrapolate the scan to V=0

Determine

R

 Slide10

The

Results

ActivationSlide11

Variable Range Hopping Transport at High Magnetic Fields

 

VRHSlide12

Conductivity

Near

B

c

 

 

 

Resistance Near

B

c

B

CSlide13

Fit Parameters

 

B

CSlide14

MBL?Slide15

Current

NoiseSlide16

Activated conductivity

T (K)Slide17

Alternative to Finite-

T

Insulator

 

T.I.

Baturina

, V.M.

Vinokur

, Annals

of Physics 331 (2013)Slide18

R vs. B

B

c