Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 22, 2010, Pages

  Berkelbach, Timothy C ^a   Reichman, David R ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956327915     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.224429     Document Type: Article

References (18)

1. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979). 10.1103/PhysRevLett.42.673
2. A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, Phys. Today 62 (8), 24 (2009). 10.1063/1.3206091
3. P. W. Anderson, Phys. Rev. 109, 1492 (1958). 10.1103/PhysRev.109.1492
4. D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Ann. Phys. (N.Y.) 321, 1126 (2006). 10.1016/j.aop.2005.11.014
5. L. Fleishman and P. W. Anderson, Phys. Rev. B 21, 2366 (1980). 10.1103/PhysRevB.21.2366
6. V. Oganesyan and D. A. Huse, Phys. Rev. B 75, 155111 (2007). 10.1103/PhysRevB.75.155111
7. M. Žnidarič, T. Prosen, and P. Prelovšek, Phys. Rev. B 77, 064426 (2008). 10.1103/PhysRevB.77.064426
8. A. Karahalios, A. Metavitsiadis, X. Zotos, A. Gorczyca, and P. Prelovšek, Phys. Rev. B 79, 024425 (2009). 10.1103/PhysRevB.79.024425
9. M. Mueller, Ann. Phys. 18, 849 (2009).
10. L. Ioffe and M. Mézard, arXiv:0909.2263 (unpublished).
11. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 2002).
12. D. J. Thouless and S. Kirkpatrick, J. Phys. C 14, 235 (1981). 10.1088/0022-3719/14/3/007
13. C. Monthus and T. Garel, Phys. Rev. B 81, 134202 (2010). 10.1103/PhysRevB.81.134202
14. It should be noted that it is possible that a residual conductivity, impossible to resolve via an exact diagonalization study of σ d c on small systems, exists. We see no evidence for finite-size effects here, although we are restricted to very small L.
15. After this work was completed, we became aware of the work of A. Pal and D. A. Huse, arXiv:1003.2613v1 (unpublished), who also investigate the X X Z chain with Δ = 1. Their conclusions are quantitatively consistent with our results. It should be noted that their work goes beyond that presented here by connecting the MBL transition to the infinite randomness universality class.
16. B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides, and H. B. Shore, Phys. Rev. B 47, 11487 (1993). 10.1103/PhysRevB.47.11487
17. E. Hofstetter and M. Schreiber, Phys. Rev. B 48, 16979 (1993). 10.1103/PhysRevB.48.16979
18. E. Hofstetter and M. Schreiber, Phys. Rev. B 49, 14726 (1994). 10.1103/PhysRevB.49.14726