From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: Adiabatic continuity and orbital entanglement spectrum

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 3, 2013, Pages

  Liu, Zhao ^a,b   Bergholtz, Emil J ^c  

^a BEIJING COMPUTATIONAL SCIENCE RESEARCH CENTER   (China)

^b INSTITUTE OF PHYSICS   (China)

^c FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84872977938     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.035306     Document Type: Article

References (49)

1. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
2. E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802 106, 236802 (2011).
3. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803 106, 236803 (2011).
4. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804 106, 236804 (2011).
5. D. N. Sheng, Z. Gu, K. Sun, and L. Sheng, Nat. Commun. 2041-1723 10.1038/ncomms1380 2, 389 (2011).
6. N. Regnault and B. A. Bernevig, Phys. Rev. X 2160-3308 10.1103/PhysRevX.1.021014 1, 021014 (2011).
7. J. W. F. Venderbos, M. Daghofer, and J. van den Brink, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.116401 107, 116401 (2011).
8. D. Xiao, W. Zhu, Y. Ran, N. Nagaosa, and S. Okamoto, Nat. Commun. 2041-1723 10.1038/ncomms1602 2, 596 (2011).
9. F. Wang and Y. Ran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 241103 84, 241103 (R) (2011).
10. J. W. F. Venderbos, S. Kourtis, J. van den Brink, and M. Daghofer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.126405 108, 126405 (2012).
11. P. Ghaemi, J. Cayssol, D. N. Sheng, and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.266801 108, 266801 (2012).
12. M. Trescher and E. J. Bergholtz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.241111 86, 241111 (R) (2012).
13. N. Y. Yao, C. R. Laumann, A. V. Gorshkov, S. D. Bennett, E. Demler, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 109.266804 109, 266804 (2012).
14. T. Liu, C. Repellin, B. A. Bernevig, and N. Regnault, arXiv: 1206.2626.
15. A. Läuchli, Z. Liu, E. J. Bergholtz, and R. Moessner, arXiv: 1207.6094.
16. S. Kourtis, J. W. F. Venderbos, and M. Daghofer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.235118 86, 235118 (2012).
17. B. A. Bernevig and N. Regnault, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.075128 85, 075128 (2012).
18. Y.-F. Wang, H. Yao, Z.-C. Gu, C.-D. Gong, and D. N. Sheng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.126805 108, 126805 (2012).
19. Y.-L. Wu, B. A. Bernevig, and N. Regnault, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.075116 85, 075116 (2012).
20. S. A. Parameswaran, R. Roy, and S. L. Sondhi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.241308 85, 241308 (R) (2012);
21. M. O. Goerbig, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2011-20857- 6 85, 15 (2012);
22. R. Roy, arXiv: 1208.2055.
23. X.-L. Qi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107. 126803 107, 126803 (2011).
24. T. Scaffidi and G. Möller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.246805 109, 246805 (2012).
25. Y.-L. Wu, N. Regnault, and B. A. Bernevig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.085129 86, 085129 (2012).
26. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
27. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
28. H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
29. A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.100405 106, 100405 (2011).
30. M. Haque, O. Zozulya, and K. Schoutens, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.060401 98, 060401 (2007). (Pubitemid 46220756)
31. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 55.2095 55, 2095 (1985).
32. A. M. Läuchli, E. J. Bergholtz, J. Suorsa, and M. Haque, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.156404 104, 156404 (2010).
33. Z. Liu, E. J. Bergholtz, H. Fan, and A. M. Läuchli, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.045119 85, 045119 (2012).
34. E. J. Bergholtz and A. Karlhede, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.155308 77, 155308 (2008).
35. M. P. Zaletel and R. S. K. Mong, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.245305 86, 245305 (2012).
36. R. Thomale, A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.180502 104, 180502 (2010).
37. E. J. Bergholtz, M. Nakamura, and J. Suorsa, Phys. E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe.2010.07.044 43, 755 (2011).
38. E. H. Rezayi and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4685 84, 4685 (2000).
39. E. J. Bergholtz, J. Kailasvuori, E. Wikberg, T. H. Hansson, and A. Karlhede, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.081308 74, 081308 (R) (2006); (Pubitemid 44316353)
40. A. Seidel and D.-H. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.056804 97, 056804 (2006). (Pubitemid 44181738)
41. Y.-H. Wu, J. K. Jain, and K. Sun, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.165129 86, 165129 (2012).
42. A. G. Grushin, T. Neupert, C. Chamon, and C. Mudry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.205125 86, 205125 (2012).
43. X.-L. Qi, H. Katsura, and A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.196402 108, 196402 (2012).
44. A. Chandran, M. Hermanns, N. Regnault, and B. A. Bernevig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.205136 84, 205136 (2011).
45. V. Alba, M. Haque, and A. M. Läuchli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.227201 108, 227201 (2012).
46. Z. Liu, E. J. Bergholtz, H. Fan, and A. M. Läuchli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.186805 109, 186805 (2012).
47. A. Sterdyniak, C. Repellin, B. A. Bernevig, and N. Regnault, arXiv: 1207.6385.
48. M. Barkeshli and X.-L. Qi, Phys. Rev. X 2160-3308 10.1103/PhysRevX.2. 031013 2, 031013 (2012).
49. C. H. Lee, R. Thomale, and X.-L. Qi, arXiv: 1207.5587.