Fractional chern insulators in topological flat bands with higher chern number

Physical Review Letters

Volumn 109, Issue 18, 2012, Pages

  Liu, Zhao ^a,b   Bergholtz, Emil J ^c   Fan, Heng ^a   Läuchli, Andreas M ^d  

^a INSTITUTE OF PHYSICS   (China)

^b BEIJING COMPUTATIONAL SCIENCE RESEARCH CENTER   (China)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

^d UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CHERN NUMBERS; EXCITATION STRUCTURES; FLAT BAND; FRACTIONAL FILLING; INSULATING STATE; LANDAU LEVELS; LATTICE MODELS; PYROCHLORES; QUANTUM HALL; SPIN-ORBIT COUPLINGS; STABLE STATE;

TOPOLOGY;

QUANTUM ENTANGLEMENT;

EID: 84868332762     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.186805     Document Type: Article

References (52)

1. E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. 106, 236802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802
2. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. 106, 236803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803
3. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106, 236804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804
4. D.N. Sheng, Z. Gu, K. Sun, and L. Sheng, Nature Commun. 2, 389 (2011). NCAOBW 2041-1723 10.1038/ncomms1380
5. N. Regnault and B.A. Bernevig, Phys. Rev. X 1, 021014 (2011). PRXHAE 2160-3308 10.1103/PhysRevX.1.021014
6. Y.-F. Wang, Z.-C. Gu, C.-D. Gong, and D.N. Sheng, Phys. Rev. Lett. 107, 146803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.146803
7. B.A. Bernevig and N. Regnault, Phys. Rev. B 85, 075128 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.075128
8. Y.-F. Wang, H. Yao, Z.-C. Gu, C.-D. Gong, and D.N. Sheng, Phys. Rev. Lett. 108, 126805 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.126805
9. Y.-L. Wu, B.A. Bernevig, and N. Regnault, Phys. Rev. B 85, 075116 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.075116
10. T. Liu, C. Repellin, B.A. Bernevig, and N. Regnault, arXiv:1206.2626.
11. A. Läuchli, Z. Liu, E.J. Bergholtz, and R. Moessner, arXiv:1207.6094.
12. J.W.F. Venderbos, M. Daghofer, and J. van den Brink, Phys. Rev. Lett. 107, 116401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.116401
13. X. Hu, M. Kargarian, and G.A. Fiete, Phys. Rev. B 84, 155116 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.155116
14. D. Xiao, W. Zhu, Y. Ran, N. Nagaosa, and S. Okamoto, Nature Commun. 2, 596 (2011). NCAOBW 2041-1723 10.1038/ncomms1602
15. J.W.F. Venderbos, S. Kourtis, J. van den Brink, and M. Daghofer, Phys. Rev. Lett. 108, 126405 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.126405
16. P. Ghaemi, J. Cayssol, D.N. Sheng, and A. Vishwanath, Phys. Rev. Lett. 108, 266801 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.266801
17. X.-L. Qi, Phys. Rev. Lett. 107, 126803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.126803
18. S.A. Parameswaran, R. Roy, and S.L. Sondhi, Phys. Rev. B 85, 241308(R) (2012); PRBMDO 1098-0121 10.1103/PhysRevB.85.241308
19. M.O. Goerbig, Eur. Phys. J. B 85, 15 (2012). EPJBFY 1434-6028 10.1140/epjb/e2011-20857-6
20. A. Vaezi, arXiv:1105.0406;
21. G. Murthy and R. Shankar, arXiv:1108.5501;
22. J. McGreevy, B. Swingle, and K.-A. Tran, Phys. Rev. B 85, 125105 (2012); PRBMDO 1098-0121 10.1103/PhysRevB.85.125105
23. Y.-M. Lu and Y. Ran, Phys. Rev. B 85, 165134 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.165134
24. B.A. Bernevig and N. Regnault, arXiv:1204.5682.
25. M. Trescher and E.J. Bergholtz, arXiv:1205.2245.
26. S. Yang, Z.-C. Gu, K. Sun, and S. Das Sarma, arXiv:1205.5792.
27. F. Wang and Y. Ran, Phys. Rev. B 84, 241103(R) (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.241103
28. Y.-F. Wang, H. Yao, C.-D. Gong, and D.N. Sheng, arXiv:1204.1697.
29. M. Barkeshli and X.-L. Qi, Phys. Rev. X 2, 031013 (2012). PRXHAE 2160-3308 10.1103/PhysRevX.2.031013
30. D.J. Thouless, M. Kohmoto, M.P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
31. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
32. B.I. Halperin, Phys. Rev. Lett. 52, 1583 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.1583
33. B.I. Halperin Phys. Rev. Lett. 52 2390(E) (1984) PRLTAO 0031-9007 10.1103/PhysRevLett.52.2390.4
34. D. Arovas, J.R. Schrieffer, and F. Wilczek, Phys. Rev. Lett. 53, 722 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.722
35. J.M. Leinaas and J. Myrheim, Nuovo Cimento Soc. Ital. Fis. 37B, 1 (1977). NIFBAP 0369-3554 10.1007/BF02727953
36. E.J. Bergholtz and A. Karlhede, J. Stat. Mech. (2006) L04001; JSMTC6 1742-5468 10.1088/1742-5468/2006/04/L04001
37. E.J. Bergholtz A. Karlhede Phys. Rev. B 77, 155308 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.155308
38. For a pedagogical account of the relation between exclusion rules and FQH states, see E. Ardonne, E.J. Bergholtz, J. Kailasvuori, and E. Wikberg, J. Stat. Mech. (2008) P04016. JSMTC6 1742-5468 10.1088/1742-5468/2008/04/P04016
39. See the Supplemental Material at http://link.aps.org/supplemental/10. 1103/PhysRevLett.109.186805 for further details.
40. A. Sterdyniak, C. Repellin, B. Andrei Bernevig, and N. Regnault, arXiv:1207.6385.
41. H. Li and F.D.M. Haldane, Phys. Rev. Lett. 101, 010504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
42. A. Sterdyniak, N. Regnault, and B.A. Bernevig, Phys. Rev. Lett. 106, 100405 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.100405
43. A. Cappelli, L.S. Georgiev, and I.T. Todorov, Nucl. Phys. B599, 499 (2001). NUPBBO 0550-3213 10.1016/S0550-3213(00)00774-4 (Pubitemid 33376515)
44. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.199
45. L.B. Shao, S.-L. Zhu, L. Sheng, D.Y. Xing, and Z.D. Wang, Phys. Rev. Lett. 101, 246810 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.246810
46. J. Dalibard, F. Gerbier, G. Juzeliunas, and P. Ohberg, Rev. Mod. Phys. 83, 1523 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1523
47. M. Aidelsburger, M. Atala, S. Nascimbene, S. Trotzky, Y.-A. Chen, and I. Bloch, Phys. Rev. Lett. 107, 255301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.255301
48. D.A. Pesin and L. Balents, Nat. Phys. 6, 376 (2010). NPAHAX 1745-2473 10.1038/nphys1606
49. X. Wan, A.M. Turner, A. Vishwanath, and S.Y. Savrasov, Phys. Rev. B 83, 205101 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.205101
50. M. Kargarian, J. Wen, and G.A. Fiete, Phys. Rev. B 83, 165112 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.165112
51. W. Witczak-Krempa and Y.B. Kim, Phys. Rev. B 85, 045124 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.045124
52. Y. Machida, S. Nakatsuji, Y. Maeno, T. Tayama, T. Sakakibara, and S. Onoda, Phys. Rev. Lett. 98, 057203 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett. 98.057203 (Pubitemid 46193025)