Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds

Nuclear Physics B

Volumn 799, Issue 3, 2008, Pages 345-363

  Yu, Yue ^a  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43549083479     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.01.029     Document Type: Article

References (49)

1. Wen X.G., and Niu Q. Phys. Rev. B 41 (1990) 9377
2. Thouless D.J., Kohmoto M., Nightingale M.P., and den Nijs M. Phys. Rev. Lett. 49 (1982) 405
3. Niu Q., Thouless D.J., and Wu Y.S. Phys. Rev. B 31 (1985) 3372
4. Wen X.G. Phys. Rev. Lett. 64 (1990) 2206
5. Wen X.G. Phys. Rev. B 41 (1990) 12838
6. Moore G., and Read N. Nucl. Phys. B 360 (1991) 362
7. Zhang S.C., Hasson H., and Kivelson S. Phys. Rev. Lett. 62 (1989) 82
8. Kitaev A. Ann. Phys. 321 (2006) 2
9. Feng X.Y., Zhang G.M., and Xiang T. Phys. Rev. Lett. 98 (2007) 087204
10. Baskaran G., Mandal S., and Shankar R. Phys. Rev. Lett. 98 (2007) 247201
11. Han Y.J., Raussendorf R., and Duan L.M. Phys. Rev. Lett. 98 (2007) 150404
12. Chen H.D., and Hu J.P. cond-mat/0702366
13. Chen H.D., and Nussinov Z. cond-mat/0703633
14. Yu Y., and Wang Z.Q. arXiv: 0708.0631
15. Yang S., Zhou D.L., and Sun C.P. Phys. Rev. B 76 (2007) 180404
16. Yu Y. arXiv: 0704.3829
17. Lee D.H., Zhang G.M., and Xiang T. Phys. Rev. Lett. 99 (2007) 196805
18. Yao H., and Kivelson S.A. Phys. Rev. Lett. 99 (2007) 247203
19. Schmidt K.P., Dusuel S., and Vidal J. arXiv: 0709.3017
20. Lahtinen V., Kells G., Carollo A., Stitt T., Vala J., and Pachos J.K. arXiv: 0712.1164
21. Sengupta K., Sen D., and Mondal S. arXiv: 0710.1712
22. Kou S.P., and Wen X.G. arXiv: 0711.0571
23. Read N., and Green D. Phys. Rev. B 61 (2000) 10267
24. Lee S.S., Ryu S., Nayak C., and Fisher M.P.A. Phys. Rev. Lett. 99 (2007) 236807
25. Levin M., Halperin B., and Roscnow B. Phys. Rev. Lett. 99 (2007) 236806
26. Witten E. Commun. Math. Phys. 121 (1989) 351
27. Dai X.Z., and Zhang W.P. J. Funct. Anal. 238 (2006) 1
28. Affleck I., Zou Z., Hua T., and Anderson P.W. Phys. Rev. B 38 (1988) 745
29. Lieb E.H. Phys. Rev. Lett. 73 (1994) 2158
30. Wen X.G., and Zee A. Phys. Rev. B 66 (2002) 235110
31. Niemi M., and Semenoff G.W. Phys. Rep. 135 (1986) 99
32. Jackiw R. Phys. Rev. D 29 (1984) 2375
33. Polychronakos A.P. Nucl. Phys. B 278 (1986) 207
34. Polychronakos A.P. Nucl. Phys. B 283 (1987) 268
35. Atiyah M.F., and Singer I.M. Ann. Math. 87 (1968) 485
36. Atiyah M.F., and Singer I.M. Ann. Math. 87 (1968) 531
37. Atiyah M.F., and Singer I.M. Ann. Math. 87 (1968) 546
38. Atiyah M.F., and Singer I.M. Ann. Math. 93 (1971) 119
39. Atiyah M.F., and Singer I.M. Ann. Math. 93 (1971) 139
40. Atiyah M.F., Patodi V.K., and Singer I.M. Math. Proc. Cambridge Philos. Soc. 77 (1975) 43
41. Atiyah M.F., Patodi V.K., and Singer I.M. Math. Proc. Cambridge Philos. Soc. 78 (1975) 405
42. Atiyah M.F., Patodi V.K., and Singer I.M. Math. Proc. Cambridge Philos. Soc. 79 (1976) 71
43. Zumino B., Wu Y.S., and Zee A. Nucl. Phys. B 239 (1984) 477
44. Tewari S., Das Sarma S., and Lee D.-H. cond-mat/0609556
45. Pachos J.K., and Stone M. cond-mat/0607394
46. Baum P., and Douglas R.G. Proc. Sympos. Pure Appl. Math. 38 (1982) 117
47. Douglas R.G., and Wojciechowski K. Commun. Math. Phys. 142 (1991) 139
48. Kirk P., and Lesch M. Forum Math. 16 (2004) 553
49. Turaev V.G. Quantum Invariants of Knots and 3-Manifolds. De Gruyter Studies in Mathematics vol. 18 (1994), de Gruyter