Integer quantum Hall effect in isotropic three-dimensional crystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 19, 2003, Pages

  Koshino, M ^a   Aoki, H ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; CONDUCTANCE; CRYSTAL; CRYSTALLOGRAPHY; ENERGY TRANSFER; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; QUANTUM MECHANICS; SPACE;

EID: 0037826852     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.195336     Document Type: Article

References (21)

1. D.R. Hofstadter, Phys. Rev. B 14, 2239 (1976).
2. D.J. Thouless, M. Kohmoto, P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982).
3. J.E. Avron, R. Seiler, and B. Simon, Phys. Rev. Lett. 51, 51 (1983).
4. B.I. Halperin, Jpn. J. Appl. Phys., Suppl. 26, 1913 (1987).
5. G. Montambaux and M. Kohmoto, Phys. Rev. B 41, 11 417 (1990).
6. M. Kohmoto, B.I. Halperin, and Y. Wu, Phys. Rev. B 45, 13 488 (1992).
7. The 3D topological invariants are later interpreted as Berry’s phase by J. Goryo and M. Kohmoto, J. Phys. Soc. Jpn. 71, 1403 (2002).
8. M. Koshino, H. Aoki, K. Kuroki, S. Kagoshima, and T. Osada, Phys. Rev. Lett. 86, 1062 (2001);
9. M. Koshino H. Aoki K. Kuroki S. Kagoshima T. Osada Phys. Rev. B 65, 045310 (2002).
10. Y. Hasegawa, J. Phys. Soc. Jpn. 59, 4384 (1990);
11. J. Phys. Soc. Jpn. Y. Hasegawa 61, 1657 (1991).
12. Z. Kunszt and A. Zee, Phys. Rev. B 44, 6842 (1991).
13. M. Kohmoto, Phys. Rev. B 39, 11 943 (1989).
14. Y. Hatsugai and M. Kohmoto, Phys. Rev. B 42, 8282 (1990).
15. P.G. Harper, Proc. Phys. Soc., London, Sect. A 68, 874 (1955).
16. D.J. Thouless, Phys. Rev. B 27, 6083 (1983).
17. A. Rauh, Phys. Status Solidi B 69, K9 (1975).
18. A. Widom, Phys. Lett. 90A, 474 (1982).
19. P. Středa, J. Phys. C 15, L718 (1982).
20. K. Ishikawa, N. Maeda, T. Ochiai, and H. Suzuki, Phys. Rev. B 58, 1088 (1998).
21. M. Koshino, H. Aoki, and B.I. Halperin, Phys. Rev. B 66, 081301(R) (2002).