Characterization of topological insulators: Chern numbers for ground state multiplet

Journal of the Physical Society of Japan

Volumn 74, Issue 5, 2005, Pages 1374-1377

  Hatsugai, Yasuhiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Chern numbers; Degeneracy; Insulators; Quantum liquids; Topological orders

Indexed keywords

ANISOTROPY; ARTICLE; ELECTRIC CONDUCTIVITY; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR PHYSICS; SUPERCONDUCTOR;

EID: 20444428732     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.1374     Document Type: Article

References (40)

1. Geometric Phases in Physics, ed. A. Shapere and F. Wilczek (World Scientific, Singapore, 1989).
2. T. Eguchi, P. B. Gilkey and A. J. Hanson: Phys. Rep. 66 (1980) 213.
3. M. V. Berry: Proc. R. Soc. London, Ser. A 392 (1984) 45.
4. F. Wilczek and A. Zee: Phys. Rev. Lett. 52 (1984) 2111.
5. W. Marshall: Proc. R. Soc. London, Ser. A 232 (1955) 48.
6. R. B. Laughlin: Phys. Rev. Lett. 50 (1983) 1395.
7. M. den Nijs and K. Rommelse: Phys. Rev. B 40 (1989) 4709.
8. S. Girvin and D. Arovas: Phys. Scr. T27 (1989) 156.
9. Y. Hatsugai: J. Phys. Soc. Jpn. 61 (1992) 3856.
10. S. Girvin and A. H. MacDonald: Phys. Rev. Lett. 58 (1987) 1252.
11. X. G. Wen: Phys. Rev. B 40 (1989) 7387.
12. R. B. Laughlin: Phys. Rev. B 23 (1981) 5632.
13. D. J. Thouless, M. Kohmoto, P. Nightingale and M. den Nijs: Phys. Rev. Lett. 49 (1982) 405.
14. W. P. Su, J. R. Schrieffer and A. J. Heeger: Phys. Rev. Lett. 42 (1979) 1698.
15. D. J. Thouless: Phys. Rev. B 27 (1983) 6083.
16. Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa and Y. Tokura: Science 291 (2001) 2573.
17. T. Jungwirth, Q. Niu and A. H. MacDonald: Phys. Rev. Lett. 88 (2002) 207208.
18. S. Murakami, N. Nagaosa and S.-C. Zhang: Science 5 (2003) 1348.
19. F. D. Haldane: Phys. Rev. Lett. 93 (2004) 206602.
20. R. D. King-Smith and D. Vanderblit: Phys. Rev. B 47 (1993) 1651.
21. F. D. M. Haldane: Phys. Rev. Lett. 61 (1988) 2015.
22. S. Ryu and Y. Hatsugai: Phys. Rev. Lett. 89 (2002) 077002.
23. T. Senthil, J. B. Marston and M. Fisher: Phys. Rev. B 60 (1999) 4245.
24. Y. Hatsugai, S. Ryu and M. Kohmoto: Phys. Rev. B 70 (2004) 054502.
25. X. G. Wen: Phys. Rev. Lett. 90 (2003) 016803.
26. M. Kohmoto: Ann. Phys. (N.Y.) 160 355 (1985).
27. Q. Niu, D. J. Thouless and Y. Wu: Phys. Rev. B 31 (1985) 3372.
28. Y. Hatsugai: J. Phys. Soc. Jpn. 73 (2004) 2604.
29. B. I. Halperin: Phys. Rev. B 25 (1982) 2185.
30. T. Kennedy: J. Phys.: Condens. Matter 2 (1990) 5737.
31. D. Yoshioka, B. I. Halperin and P. A. Lee: Phys. Rev. Lett. 50 (1983) 1219.
32. F. D. M. Haldane and E. H. Rezayi: Phys. Rev. B 31 (1985) 2529.
33. F. D. M. Haldane: Phys. Rev. Lett. 55 (1985) 2095.
34. X. G. Wen, F. Wilczek and A. Zee: Phys. Rev. B 39 (1989) 11413.
35. 28)
36. T (θ) and it is not well defined on the surface script S sign. It is just well defined up to an unitary equivalence.
37. Nontrivial examples with finite Chern numbers for the present spin twists are under studies in collaboration with X.-G. Wen (unpublished).
38. Y. Hatsugai: Phys. Rev. B 56 (1997) 12183.
39. F. D. M. Haldane and D. Arovas: Phys. Rev. B 52 (1995) 4223.
40. D. N. Sheng, X. Wan, E. H. Rezayi, K. Yang and F. D. M. Haldane: Phys. Rev. Lett. 90 (2003) 256802.