Experimental Insights into Many-Body Localization in Low-Dimensional Systems
Explore the experimental requirements and observations of many-body localization (MBL) in interacting electrons in disordered low-dimensional systems. Discover the potential for a finite-temperature insulator and the phenomena of bi-stable I-V curves in a:InO.
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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, 2015
Many Body Localization (MBL) Interacting electrons Disordered Low-dimensional Electrons are decoupled from any external bath 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)
Experimental Requirements for Observation of MBL Interacting electrons Disordered Low-dimensional Weak e-ph coupling Bi-stable I-V curve Basko, D. M., Aleiner, I. L. & Altshuler, B. L. Phys. Rev. B 76, 052203 (2007). Cold atoms: Schreiber, M., Hodgman, S. S., Bordia, P., L schen, H. P., Fischer, M. H., Vosk, R., Altman, E., Schneider, U., Bloch, I. eprint arXiv:1501.05661
a:InO Hebard, A. F. & Paalanen, M. A. Phys. Rev. Lett. 65, 927 (1990) Yazdani, A. & Kapitulnik, Phys. Rev. Lett. 74, 3037 (1995)
Observation of Bi-stable I-V curves in a:InO T=10 mK G. 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)
Bi-stable I-V curves Overheated Electrons Model Simulated data Electrons are weakly coupled to the phonons 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)
a:InO a Possible Finite Temperature Insulator Disordered Disordered Cooper pairs Feigel man, M. V., Ioffe, L. B. & M ezard, M. Phys. Rev. B 82, 184534 (2010) Low-dimensional Low-dimensional Interacting electrons Interacting electrons Weak e-ph coupling Weak e-ph coupling
Earlier Studies Measured Activation ? ? = ?? ??? ??/? ? ? = ?? ??? ??/? Sambandamurthy, G., Engel, L. W., Johansson, A. & Shahar, D. Phys. Rev. Lett. 92, 107005 (2004).
An Effort to Measure Higher R Fix T and B ? = ?.?? ???? Wait 1 hour Ramp V Wait 10 seconds Measure I Extrapolate the scan to V=0 Determine R
The Results Activation
Variable Range Hopping Transport at High Magnetic Fields VRH ?/? ??? ? ? ? = ??? ???
Conductivity ?1 Near Bc Resistance Near Bc ? ? = ?? ??? ?? ? ?? ? ? = ?? ??? ? ? BC
Fit Parameters BC ?? ? ? = ?? ??? ? ?
Activated conductivity T (K)
Alternative to Finite-T Insulator ? ? = ??? ??? ? ???/? T.I. Baturina, V.M. Vinokur, Annals of Physics 331 (2013)
R vs. B Bc
