Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 15, 1996, Pages 10133-10140

  Gvozdikov, V ^a  

^a V N KARAZIN KHARKIV NATIONAL UNIVERSITY   (Ukraine)

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Indexed keywords

EID: 0042562164     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.10133     Document Type: Article

References (52)

1. P. G. Harper, Proc. Phys. Soc. London Sect. A 68, 674 (1955).
2. G. E. Zilberman, Zh. Éksp. Teor. Fiz. 30, 1092 (1956) [Sov. Phys. JETP 3, 835 (1956)].
3. J. Zak, Phys. Rev. 134, 1602 (1964).
4. M. Ya. Azbel, Zh. Éksp. Teor. Fiz. 46, 929 (1964) [Sov. Phys. JETP 19, 634 (1964)].
5. G. H. Wannier, Phys. Status Solidi B 88, 757 (1978).
6. S. Aubry and G. Andre, Ann. Isr. Phys. Soc. 3, 131 (1980).
7. D. J. Thouless, Phys. Rev. B 27, 6083 (1983).
8. D. Hofstadter, Phys. Rev. B 14, 2239 (1976).
9. T. C. Hsu, Phys. Rev. B 41, 11t379 (1991).
10. F. Nori, E. Abrahams and G. Zimanyi, Phys. Rev. B 41, 7277 (1990).
11. P. Poilblanc, Y. Hasegawa and T. M. Rice, Phys. Rev. B 41, 1949 (1990).
12. J. P. Rodriguez and B. Doucot, Phys. Rev. B 42, 8724 (1990).
13. F. Nori, Phys. Rev. B 44, 7637 (1991).
14. G. Kotliar, Phys. Rev. B 37, 3664 (1988).
15. I. Affleck and J. B. Marston, Phys. Rev. B 37, 3774 (1988).
16. Y. Hasegawa, P. Lederer, T. M. Rice and P. B. Wiegmann, Phys. Rev. Lett. 63, 907 (1989).
17. Y. Hasegawa, P. Lederer, T. M. Rice and P. B. Wiegmann, Phys. Rev. B 37, 3664 (1989).
18. G. Montambaux, Phys. Rev. Lett. 63, 1657 (1989).
19. M. Wilkinson, Proc. R. Soc. London Ser. A 391, 305 (1984).
20. M. Wilkinson and E. J. Austin, J. Phys. A 23, 2529 (1990).
21. A. Barelli and C. Kreft (unpublished).
22. M. I. Kaganov and A. A. Slutskin, Phys. Rep. 98, 189 (1983).
23. V. M. Gvozdikov, J. Phys. Condens. Matter 6, 6245 (1994).
24. Y. Last and M. Wilkinson, J. Phys. A 25, 6123 (1992).
25. P. B. Wiegmann and A. V. Zabrodin, Phys. Rev. Lett. 72, 1890 (1994).
26. Y. Hatsugai, M. Kohmoto and W. S. Wu, Phys. Rev. Lett. 73, 1134 (1994).
27. G. H. Wannier, G. M. Obermair and R. Ray, Phys. Status Solidi B 93, 337 (1979).
28. D. J. Thouless, M. Kohmoto, M. P. Nightingale and M. Nijs, Phys. Rev. Lett. 49, 409 (1982).
29. R. Rammal, G. Toulouse, M. T. Jackel and B. I. Halperin, Phys. Rev. B 27, 5142 (1983).
30. H. Aoki, Phys. Rev. Lett. 55, 1136 (1985).
31. F. Wilzek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
32. E. Fradkin, Phys. Rev. B 42, 570 (1990).
33. S. Alexander, Phys. Rev. B 27, 1541 (1983).
34. V. M. Gvozdikov and M. Teixeira, Fiz. Nizk. Temp. 19, 1302 (1993) [Sov. J. Low Temp. 19, 922 (1993)].
35. P. C. Gosset and B. L. Gyoffry, Physica C 177, 356 (1991).
36. L. P. Gor'kov, Usp. Fiz. Nauk. 144, 381 (1984) [Sov. Phys. Usp. 27, 809 (1984)].
37. E. E. Mendes and G. Bastard, Phys. Today 46, (6), 34 (1993).
38. J. B. Krieger and G. J. Iafrate, Phys. Rev. B 33, 5494 (1986).
39. J. H. Davis and J. W. Wilkins, Phys. Rev. B 38, 1667 (1988).
40. Q. Niu, Phys. Rev. B 40, 3625 (1989).
41. I. M. Lifshitz, S. A. Gredescul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Nauka, Moscow, 1982).
42. R. G. Elliott, J. A. Krumhansl and P. L. Leath, Rev. Mod. Phys. 46, 465 (1974).
43. G. Szego, Orthogonal Polynomials (American Mathematical Society, New York, 1959).
44. H. S. Wall, Analytic Theory of Continued Fractions (Van Nostrand, Toronto, 1948).
45. V. I. Peresada, V. N. Afanasiev and V. S. Borovikov, Fiz. Nizk. Temp. 1, 461 (1975) [Sov. J. Low Temp. Phys. 1, 227 (1975)].
46. V. M. Gvozdikov and E. A. Kaner, Pis'ma Zh. Éksp. Teor. Fiz. 43, 393 (1986) [JETP Lett. 43, 507 (1986)].
47. V. M. Gvozdikov, Fiz. Nizk. Temp. 18, 997 (1992) [Sov. J. Low Temp. Phys. 18, 700 (1992)].
48. J. R. Cooper, W. Kang, P. Auban, G. Montambaux, D. Jerome and K. Bechgaard, Phys. Rev. Lett. 63, 1984 (1989).
49. L. P. Gor'kov and A. G. Lebed', J. Phys. (Paris) Lett. 45, L433 (1984).
50. G. Montambaux, M. Heritier and P. Lederer, Phys. Rev. Lett. 55, 2078 (1985).
51. A. Virosztek, L. Chen and K. Maki, Phys. Rev. B 34, 3371 (1986).
52. Y. Hasegawa, J. Phys. Soc. Jpn. 64, 2541 (1995).