Weak localization and integer quantum Hall effect in a periodic potential

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 24, 2003, Pages

  Schwiete, G ^a   Taras Semchuk, D ^b   Efetov, K B ^a,c  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; CHEMICAL MODIFICATION; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; MAGNETIC FIELD; MOLECULAR INTERACTION; QUANTUM MECHANICS; STRUCTURE ANALYSIS;

EID: 0042529100     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.245319     Document Type: Article

References (62)

1. D. Weiss, K.V. Klitzing, K. Ploog, and G. Weimann, Europhys. Lett. 8, 179 (1989);
2. in High Magnetic Fields in Semiconductor Physics II, edited by G. Landwehr, Vol. 87 of Springer Series in Solid-State Sciences (Springer-Verlag, Berlin, 1989).
3. P.H. Beton, E.S. Alves, P.C. Main, L. Eaves, M.W. Dellow, M. Henini, O.H. Hughes, S.P. Beaumont, and C.D.W. Wilkinson, Phys. Rev. B 42, 9229 (1990).
4. P. Streda and A.H. MacDonald, Phys. Rev. B 41, 11 892 (1990);
5. P. Streda, J. Kucera, and J. van de Konijnenberg, Phys. Scr., T 39, 162 (1991);
6. J. Kucera, P. Streda, and R.R. Gerhardts, Phys. Rev. B 55, 14 439 (1997).
7. R. Menne and R.R. Gerhardts, Phys. Rev. B 57, 1707 (1998).
8. R.R. Gerhardts, D. Weiss, and K.V. Klitzing, Phys. Rev. Lett. 62, 1173 (1989).
9. R.W. Winkler, J.P. Kotthaus, and K. Ploog, Phys. Rev. Lett. 62, 1177 (1989).
10. C. Zhang and R.R. Gerhardts, Phys. Rev. B 41, 12 850 (1990).
11. P. Vasilopoulos and F.M. Peeters, Phys. Rev. Lett. 63, 2120 (1989);
12. F.M. Peeters and P. Vasilopoulos, Phys. Rev. B 46, 4667 (1992).
13. K.V. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
14. A. Manolescu, R.R. Gerhardts, M. Suhrke, and U. Rössler, Phys. Rev. B 63, 115322 (2001).
15. J. Gross and R.R. Gerhardts, Physica B 298, 83 (2001).
16. C.W.J. Beenakker, Phys. Rev. Lett. 62, 2020 (1989).
17. A.D. Mirlin and P. Wölfle, Phys. Rev. B 58, 12 986 (1998).
18. A.K. Geim, R. Taboryski, A. Kristensen, S.V. Dubonos, and P.E. Lindelof, Phys. Rev. B 46, 4324 (1992).
19. B. Milton, C.J. Emeleus, K. Lister, J.H. Davies, and A.R. Long, Physica E (Amsterdam) 6, 555 (2000).
20. B.L. Altshuler, A.G. Aronov, D.E. Khmelnitskii, and A.I. Larkin, in Quantum Theory of Solids, edited by I.M. Lifshitz (MIR Publishers, Moscow, 1983).
21. G. Bergmann, Phys. Rep. 101, 1 (1984).
22. S. Chakravarty and A. Schmid, Phys. Rep. 140, 193 (1986).
23. D. Belitz and T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994).
24. A.M.M. Pruisken, Nucl. Phys. B 235, 277 (1984)
25. P.F. Bagwell, S.L. Park, A. Yen, D.A. Antoniadis, H.I. Smith, T.P. Orlando, and M.A. Kastner, Phys. Rev. B 45, 9214 (1992).
26. F. Wegner, Z. Phys. B 35, 207 (1979).
27. K.B. Efetov, A.I. Larkin, and D.E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 62, 68 (1995)
28. [JETP 52, 568 (1980)].
29. K.B. Efetov, Adv. Phys. 32, 53 (1983); K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, New York, 1997).
30. H. Levine, S.B. Libby, and A.M.M. Pruisken, Nucl. Phys. B: Field Theory Stat. Syst. 240 [FS12], 30 (1984);
31. Nucl. Phys. B: Field Theory Stat. Syst. H. Levine S.B. Libby A.M.M. Pruisken 240 [FS12], 49 (1984);
32. Nucl. Phys. B: Field Theory Stat. Syst. H. Levine S.B. Libby A.M.M. Pruisken 240 [FS12], 71 (1984).
33. T. Ando and Y. Uemura, J. Phys. Soc. Jpn. 36, 359 (1974);
34. J. Phys. Soc. Jpn. T. Ando, 36, 1521 (1974);
35. J. Phys. Soc. Jpn. T. Ando 37, 622 (1974);
36. J. Phys. Soc. Jpn. T. Ando 37, 1233 (1974);
37. T. Ando, A. Fowler, and F. Stern, Rev. Mod. Phys. 45, 437 (1982).
38. J. Rammer and A.L. Shelankov, Phys. Rev. B 36, 3135 (1987).
39. X.-B. Wang, Phys. Rev. B 65, 115303 (2002).
40. S. Hikami, A.I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980);
41. S. Hikami, Phys. Rev. B 24, 2671 (1981).
42. D.E. Khmelnitskii, Pis’ma Zh. Éksp. Teor. Fiz. 38, 454 (1983)
43. [JETP Lett. 38, 552 (1983)].
44. A.M.M. Pruisken, Phys. Rev. B 32, 2636 (1985).
45. L.P. Gorkov, A.I. Larkin, and D.E. Khmelnitskii, Pis’ma Zh. Éksp. Teor. Fiz. 30, 248 (1979)
46. [JETP Lett. 30, 228 (1979)].
47. M.R. Zirnbauer, Ann. Phys. (Leipzig) 3, 513 (1994).
48. H.A. Weidenmuller and M.R. Zirnbauer, Nucl. Phys. B: Field Theory Stat. Syst. 305 [FS25], 339 (1988).
49. H.P. Wei, D.C. Tsui, and A.M.M. Pruisken, Phys. Rev. B 33, 1488 (1985).
50. B. Huckestein, Rev. Mod. Phys. 67, 357 (1995).
51. B.A. Muzykantskii and D.E. Khmelnitskii, Pis’ma Zh. Eksp. Teor. Fiz. 62, 68 (1995)
52. [JETP Lett. 62, 76 (1995)].
53. A.V. Andreev, B.D. Simons, O. Agam, and B.L. Altshuler, Nucl. Phys. B 482, 536 (1996).
54. The semiclassical approximation referred to here differs from the quasiclassical approximation associated with the Boltzmann equation approach of Ref. 12.
55. P. Wölfle and R.N. Bhatt, Phys. Rev. B 30, 3542 (1984).
56. A.G. Aronov, A.D. Mirlin, and P. Wölfle, Phys. Rev. B 49, 16 609 (1994).
57. D. Taras-Semchuk and K.B. Efetov, Phys. Rev. B 64, 115301 (2001).
58. Handbook of Mathematical Functions, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1972).
59. P. Streda, J. Phys. C 15, L717 (1982).
60. A.M.M. Pruisken, in The Quantum Hall Effect, edited by R.E. Prange and S.M. Girvin (Springer, Berlin, 1987).
61. D.P. Xue and G. Xiao, Phys. Rev. B 45, 5986 (1992).
62. R.R. Gerhardts, Phys. Rev. B 53, 11 064 (1996).