Localization length at the resistivity minima of the quantum Hall effect

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 8, 1998, Pages 4614-4627

  Fogler, M ^a   Dobin, A Yu ^a   Shklovskii, B ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542371843     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.4614     Document Type: Article

References (37)

1. See B. Huckestein, Rev. Mod. Phys. 67, 357 (1995), and references therein.
2. G. Ebert, K. v. Klitzing, C. Probst, E. Schuberth, K. Ploog, and G. Weimann, Solid State Commun. 45, 625 (1983); G. Ebert, Ph.D. thesis, Max Planck Institute, Stuttgart, 1983.
3. A. Briggs, Y. Guldner, J. P. Verien, M. Voos, J. P. Hirtz, and M. Razeghi, Phys. Rev. B 27, 6549 (1983).
4. V. J. Goldman and L. P. Rokhinson (unpublished).
5. D. G. Polyakov and B. I. Shklovskii, Phys. Rev. Lett. 70, 3796 (1993).
6. B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors (Springer-Verlag, Berlin, 1984).
7. See T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982), and references therein.
8. M. E. Raikh and T. V. Shahbazyan, Phys. Rev. B 47, 1522 (1993).
9. B. Laikhtman and E. L. Altshuler, Ann. Phys. (N.Y.) 232, 332 (1994).
10. M. M. Fogler, A. Yu. Dobin, V. I. Perel, and B. I. Shklovskii, Phys. Rev. B 56, 6823 (1997).
11. G. V. Mil’nikov and I. M. Sokolov, Pis’ma Zh. Éksp. Teor. Fiz. 48, 494 (1988) [JETP Lett. 48, 536 (1988)].
12. A conceptually similar problem has been considered by B. I. Shklovskii, Fiz. Tverd. Tela (Leningrad) 26, 585 (1984) [Sov. Phys. Solid State 26, 353 (1984)].
13. M. E. Raikh and T. V. Shahbazyan, Phys. Rev. B 51, 9682 (1995).
14. B. I. Shklovskii and A. L. Efros, Zh. Éksp. Teor. Fiz. 84, 811 (1983) [Sov. Phys. JETP 57, 470 (1983)].
15. Q. Li and D. J. Thouless, Phys. Rev. B 40, 9738 (1989).
16. B. I. Shklovskii, Pis’ma Zh. Éksp. Teor. Fiz. 36, 43 (1982) [JETP Lett. 36, 51 (1982)].
17. See the review paper by M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992), and the references therein.
18. J. Hajdu, M. E. Raikh, and T. V. Shahbazyan, Phys. Rev. B 50, 17 625 (1994).
19. D. J. Thouless, J. Phys. C 5, 77 (1972).
20. F. J. Dyson, Phys. Rev. 92, 1331 (1953).
21. E. M. Lifshitz, S. A. Gredeskul, and L. A. Pastur, Introduction to The Theory of Disordered Systems (Wiley, New York, 1988).
22. M. Tsukada, J. Phys. Soc. Jpn. 41, 1466 (1976).
23. T. V. Shahbazyan (private communication).
24. B. I. Shklovskii, Phys. Lett. 51A, 289 (1975).
25. A. V. Sheinman, Fiz. Tekh. Poluprovodn. 9, 2146 (1975) [Sov. Phys. Semicond. 9, 1396 (1975)].
26. A. Weinrib and B. I. Halperin, Phys. Rev. B 27, 413 (1983).
27. Phys. Rev. BA. Weinrib, 29, 387 (1984).
28. I. V. Kukushkin, S. V. Meshkov, and V. B. Timofeev, Usp. Fiz. Nauk 155, 219 (1988) [Sov. Phys. Usp. 31, 511 (1988)].
29. I. L. Aleiner, and L. I. Glazman, Phys. Rev. B 52, 11 296 (1995).
30. M. M. Fogler and B. I. Shklovskii (unpublished).
31. An incomplete account of this work can be found in Phys. Rev. B 52, 17 366 (1995).
32. V. A. Gergel and R. A. Suris, Zh. Éksp. Teor. Fiz. 75, 191 (1978) [Sov. Phys. JETP 48, 95 (1978)].
33. B. I. Shklovskii and A. L. Efros, Pis’ma Zh. Éksp. Teor. Fiz. 44, 520 (1986) [JETP Lett. 44, 669 (1986)].
34. A. L. Efros, Solid State Commun. 65, 1281 (1988).
35. Solid State Commun.A. L. Efros67, 1019 (1989).
36. Solid State Commun.A. L. Efros70, 253 (1989).
37. Van Lien Nguyen, Fiz. Tekh. Poluprovodn. 18, 335 (1984) [Sov. Phys. Semicond. 18, 207 (1984)].