Interaction and dimensionality in the quantum Hall physics

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 20, Issue 1-2, 2003, Pages 149-159

  Aoki, Hideo ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

3D systems; Fractal energy spectrum; Interacting electrons; Quantum Hall physics

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FERMI LIQUIDS; FERMIONS; MAGNETIC FIELD EFFECTS; QUANTUM THEORY;

MAGNETIC QUANTIZATION; QUANTUM HALL PHYSICS;

HALL EFFECT;

EID: 0344064186     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2003.09.032     Document Type: Conference Paper

References (61)

1. S. Das Sarma, A. Pinczuk (Eds.), Perspective in Quantum Hall Effects, Wiley, New York, 1997.
2. O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998.
3. Nakajima T., Aoki H. Phys. Rev. Lett. 73:1994;3568.
4. H. Aoki, in: A. Chodos, et al. (Eds.), Dynamics of Gauge Fields, Universal Academy Press, Tokyo, 2000, p. 371.
5. J.K. Jain, R.K. Kamilla, in: O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998, p. 1.
6. Onoda M., Mizusaki T., Otsuka T., Aoki H. Phys. Rev. Lett. 84:2000;3942.
7. Onoda M., Mizusaki T., Otsuka T., Aoki H. Phys. Rev. B. 64:2001;235315.
8. Aoki H. Bishop R.F., et al. Recent Progress in Many-body Theories. 2002;13 World Scientific, Singapore.
9. M. Onoda, T. Mizusaki, H. Aoki, Proceedings of the 15th International Conference on High Magnetic Fields in Semiconductor Physics, Oxford, 2002.
10. Koshino M., Aoki H., Osada T. Phys. Rev. B. 65:2002;205311.
11. Koshino M., Aoki H., Kuroki K., Kagoshima S., Osada T. Phys. Rev. Lett. 86:2001;1062 Koshino M., Aoki H., Kuroki K., Kagoshima S., Osada T. Phys. Rev. B. 65:2002;045310.
12. Koshino M., Aoki H., Kuroki K., Kagoshima S., Osada T. Phys. Rev. Lett. 86:2001;1062 Koshino M., Aoki H., Kuroki K., Kagoshima S., Osada T. Phys. Rev. B. 65:2002;045310.
13. G. Murthy, R. Shankar, in: O. Heinonen (Ed.), Composite Fermions, World Scientific, Singapore, 1998, p. 254; cond-mat/0205326.
14. Du R.R., et al. Phys. Rev. Lett. 70:1993;2944.
15. Leadley D.R., Nicholas R.J., Foxon C.T., Harris J.J. Phys. Rev. Lett. 72:1994;1906.
16. Aoki H., Nakajima T. Heiman D. High Magnetic Fields in the Physics of Semiconductors. 1995;58 World Scientific, Singapore.
17. Onoda M., Mizusaki T., Otsuka T., Aoki H. Physica B. 298:2001;173.
18. Rezayi E., Read N. Phys. Rev. Lett. 72:1994;900.
19. Morf R., d'Ambrumenil N. Phys. Rev. Lett. 74:1995;5116.
20. Halperin B.I., Lee P.A., Read N. Phys. Rev. B. 47:1993;7312.
21. Nayak C., Wilczek F. Nucl. Phys. B. 417:1994;359 Nayak C., Wilczek F. Nucl. Phys. B. 430:1994;534 Chakravarty S., Norton R.E., Syljuåsen O.F. Phys. Rev. Lett. 74:1995;1423 Ichinose I., Matsui T. Nucl. Phys. B. 441: 1995;483 Onoda M., Ichinose I., Matsui T., Nayak C., Wilczek F. Nucl. Phys. B. 446:1995;353.
22. Nayak C., Wilczek F. Nucl. Phys. B. 417:1994;359 Nayak C., Wilczek F. Nucl. Phys. B. 430:1994;534 Chakravarty S., Norton R.E., Syljuåsen O.F. Phys. Rev. Lett. 74:1995;1423 Ichinose I., Matsui T. Nucl. Phys. B. 441: 1995;483 Onoda M., Ichinose I., Matsui T., Nayak C., Wilczek F. Nucl. Phys. B. 446:1995;353.
23. Nayak C., Wilczek F. Nucl. Phys. B. 417:1994;359 Nayak C., Wilczek F. Nucl. Phys. B. 430:1994;534 Chakravarty S., Norton R.E., Syljuåsen O.F. Phys. Rev. Lett. 74:1995;1423 Ichinose I., Matsui T. Nucl. Phys. B. 441: 1995;483 Onoda M., Ichinose I., Matsui T., Nayak C., Wilczek F. Nucl. Phys. B. 446:1995;353.
24. Nayak C., Wilczek F. Nucl. Phys. B. 417:1994;359 Nayak C., Wilczek F. Nucl. Phys. B. 430:1994;534 Chakravarty S., Norton R.E., Syljuåsen O.F. Phys. Rev. Lett. 74:1995;1423 Ichinose I., Matsui T. Nucl. Phys. B. 441: 1995;483 Onoda M., Ichinose I., Matsui T., Nayak C., Wilczek F. Nucl. Phys. B. 446:1995;353.
25. Nayak C., Wilczek F. Nucl. Phys. B. 417:1994;359 Nayak C., Wilczek F. Nucl. Phys. B. 430:1994;534 Chakravarty S., Norton R.E., Syljuåsen O.F. Phys. Rev. Lett. 74:1995;1423 Ichinose I., Matsui T. Nucl. Phys. B. 441: 1995;483 Onoda M., Ichinose I., Matsui T., Nayak C., Wilczek F. Nucl. Phys. B. 446:1995;353.
26. Stern A., Halperin B.I. Phys. Rev. B. 52:1995;5890 Stern A., Halperin B.I., Oppen F., Simon S.H. Phys. Rev. B. 59:1999;12547.
27. Stern A., Halperin B.I. Phys. Rev. B. 52:1995;5890 Stern A., Halperin B.I., Oppen F., Simon S.H. Phys. Rev. B. 59:1999;12547.
28. Shankar R., Murthy G. Phys. Rev. Lett. 79:1997;4437.
29. Moore G., Read N. Nucl. Phys. B. 360:1991;362.
30. Morf R. Phys. Rev. Lett. 80:1998;1505.
31. Rezayi E.H., Haldane F.D.M. Phys. Rev. Lett. 84:2000;4685.
32. Willet R.L., West K.W., Pfeiffer L.N. Phys. Rev. Lett. 88:2002;066801.
33. Greiter M., Wen X.G., Wilczek F. Phys. Rev. Lett. 66:1991;3205.
34. Kohn W., Luttinger J.M. Phys. Rev. Lett. 15:1995;524.
35. Halperin B.I. Jpn. J. Appl. Phys. 26(Suppl.):1987;1913.
36. Montambaux G., Kohmoto M. Phys. Rev. B. 41:1990;11417.
37. Kohmoto M., Halperin B.I., Wu Y. Phys. Rev. B. 45:1992;13488.
38. Koshino M., Aoki H. Phys. Rev. B. 67:2003;195336.
39. Albrecht C., Smet J.H., von Klitzing K., Weiss D., Umansky V., Schweizer H. Phys. Rev. Lett. 86:2001;147.
40. Naud J.D., et al. Phys. Rev. Lett. 85:2000;5408 Suzuki S., Kuramoto Y. Phys. Rev. B. 62:2000;1921.
41. Naud J.D., et al. Phys. Rev. Lett. 85:2000;5408 Suzuki S., Kuramoto Y. Phys. Rev. B. 62:2000;1921.
42. Gor'kov L.P., Lebed' A.G. J. Phys. Lett. 45:1984;L433.
43. Poilblanc D., Héritier M., Montambaux G., Lederer P. J. Phys. C. 19:1986;L321.
44. Maki K. Phys. Rev. B. 33:1986;4826.
45. Montambaux G., Littlewood P.B. Phys. Rev. Lett. 62:1989;953.
46. Hasegawa Y. Phys. Rev. B. 51:1995;4306.
47. Sun Y., Maki K. Phys. Rev. B. 49:1994;15356.
48. Widom A. Phys. Lett. 90A:1982;474 Středa P. J. Phys. C. 15:1982;L718.
49. Widom A. Phys. Lett. 90A:1982;474 Středa P. J. Phys. C. 15:1982;L718.
50. Sasaki M., et al. Solid State Commun. 109:1999;357.
51. Nozue Y., Kodaira T., Goto T. Phys. Rev. Lett. 68:1992;3789.
52. R. Arita, T. Miyake, T. Kotani, M. van Schilfgaarde, T. Oka, K. Kuroki, Y. Nozue, H. Aoki, cond-mat/0304322.
53. M. Koshino, H. Aoki, in: Proceedings of the International Conference on Electronic Properties of Two-Dimensional Systems, Nara, 2003, to be published.
54. Halperin B.I. Phys. Rev. B. 25:1982;2185.
55. Koshino M., Aoki H., Halperin B.I. Phys. Rev. B. 66:2002;081301(R).
56. Aoki H., Ando T. Solid State Commun. 38:1981;1079. (reprinted in Solid State Commun. 88 (1993) 951).
57. Aoki H., Ando T. Solid State Commun. 38:1981;1079. (reprinted in Solid State Commun. 88 (1993) 951).
58. Hatsugai Y. Phys. Rev. Lett. 71:1993;3697.
59. Kawano Y., Komiyama S. Phys. Rev. B. 61:2000;2931.
60. H. Aoki, Int. J. Mod. Phys. B, to be published.
61. R. Arita, K. Kuroki, H. Aoki, cond-mat/0206358.