Fractional quantum-hall liquid spontaneously generated by strongly correlated t 2g electrons

Physical Review Letters

Volumn 108, Issue 12, 2012, Pages

  Venderbos, Jörn W F ^a   Kourtis, Stefanos ^a   Van Den Brink, Jeroen ^a   Daghofer, Maria ^a  

^a Institute for Theoretical Solid State Physics   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COULOMB REPULSIONS; EXACT DIAGONALIZATION; FLAT BAND; LONGER-RANGE INTERACTION; LOW ENERGIES; MEAN FIELD; NARROW BANDS; ONE-BAND MODELS; SELF-ORGANIZE; STRONGLY CORRELATED ELECTRONS; TRIANGULAR LATTICE;

MAGNETIC FIELDS; TOPOLOGY;

QUANTUM THEORY;

EID: 84859085082     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.126405     Document Type: Article

References (51)

1. K.v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.45.494
2. 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
3. F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
4. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 (Pubitemid 41777602)
5. L. Fu, C.L. Kane, and E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 (Pubitemid 46393379)
6. R. Roy, Phys. Rev. B PRBMDO 1098-0121 79, 195322 (2009). 10.1103/PhysRevB.79.195322
7. J.E. Moore and L. Balents, Phys. Rev. B PRBMDO 1098-0121 75, 121306 (2007). 10.1103/PhysRevB.75.121306
8. B.A. Bernevig and S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
9. M. Hasan and C. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
10. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
11. H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nature Phys. 5, 438 (2009). NPAHAX 1745-2473 10.1038/nphys1270
12. Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y.S. Hor, R.J. Cava, and M.Z. Hasan, Nature Phys. 5, 398 (2009). NPAHAX 1745-2473 10.1038/nphys1274
13. B.A. Bernevig, T.L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734 (Pubitemid 44969083)
14. M. Konig, S. Wiedmann, C. Brune, A. Roth, H. Buhmann, L.W. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science 318, 766 (2007). SCIEAS 0036-8075 10.1126/science.1148047 (Pubitemid 351411764)
15. D.C. Tsui, H.L. Stormer, and A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559
16. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
17. C. Nayak, S.H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1083
18. E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. 106, 236802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802
19. K. Sun, Z. Gu, H. Katsura, and S.D. Sarma, Phys. Rev. Lett. 106, 236803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803
20. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106, 236804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804
21. X.-L. Qi, Phys. Rev. Lett. 107, 126803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.126803
22. M. Barkeshli and X.-L. Qi, arXiv:1112.3311.
23. X. Hu, M. Kargarian, and G.A. Fiete, Phys. Rev. B PRBMDO 1098-0121 84, 155116 (2011). 10.1103/PhysRevB.84.155116
24. J.W. Venderbos, M. Daghofer, and J. van den Brink, Phys. Rev. Lett. 107, 116401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.116401
25. 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
26. D. Xiao, W. Zhu, Y. Ran, N. Nagaosa, and S. Okamoto, Nature Commun. 2, 596 (2011). 2041-1723 10.1038/ncomms1602
27. S. Raghu, X.-L. Qi, C. Honerkamp, and S.-C. Zhang, Phys. Rev. Lett. 100, 156401 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.156401 (Pubitemid 351549477)
28. K. Sun, H. Yao, E. Fradkin, and S.A. Kivelson, Phys. Rev. Lett. 103, 046811 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.046811
29. G.A. Fiete, V. Chua, X. Hu, M. Kargarian, R. Lundgren, A. Ruegg, J. Wen, and V. Zyuzin, arXiv:1106.0013 [Physica E (Amsterdam) (to be published)] 10.1016/j.physe.2011.11.011. PELNFM 1386-9477
30. S. Nishimoto, M. Nakamura, A. O'Brien, and P. Fulde, Phys. Rev. Lett. 104, 196401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.196401
31. P. Matl, N. Ong, Y. Yan, Y. Li, D. Studebaker, T. Baum, and G. Doubinina, Phys. Rev. B PRBMDO 0163-1829 57, 10248 (1998). 10.1103/PhysRevB.57.10248
32. Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa, and Y. Tokura, Science 291, 2573 (2001). SCIEAS 0036-8075 10.1126/science.1058161 (Pubitemid 32249676)
33. W. Koshibae and S. Maekawa, Phys. Rev. Lett. 91, 257003 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.257003
34. H.F. Pen, J. van den Brink, D.I. Khomskii, and G.A. Sawatzky, Phys. Rev. Lett. 78, 1323 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.1323
35. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.126405 for details on the parameters, numerical methods, and the mapping to the one-band model.
36. B. Normand and A.M. Ole, Phys. Rev. B PRBMDO 1098-0121 78, 094427 (2008). 10.1103/PhysRevB.78.094427
37. T. Nomura and K. Yamada, J. Phys. Soc. Jpn. 69, 1856 (2000). JUPSAU 0031-9015 10.1143/JPSJ.69.1856
38. I. Martin and C.D. Batista, Phys. Rev. Lett. 101, 156402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.156402
39. E. Dagotto, Nanoscale Phase Separation and Colossal Magnetoresistance (Springer, Berlin, 2002).
40. Y. Akagi and Y. Motome, J. Phys. Soc. Jpn. 79, 083711 (2010). JUPSAU 0031-9015 10.1143/JPSJ.79.083711
41. T. Li, arXiv:1103.2420.
42. R.A. Muniz, A. Rahmani, and I. Martin, arXiv:1112.3347.
43. D.N. Sheng, Z.-C. Gu, K. Sun, and L. Sheng, Nature Commun. 2041-1723 2, 389 (2011). 10.1038/ncomms1380
44. Y. Kato, I. Martin, and C.D. Batista, Phys. Rev. Lett. 105, 266405 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.266405
45. S. Kumar and J. van den Brink, Phys. Rev. Lett. 105, 216405 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.216405
46. G.-W. Chern, Phys. Rev. Lett. 105, 226403 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.226403
47. R. Shindou and N. Nagaosa, Phys. Rev. Lett. 87, 116801 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.116801
48. N. Regnault and B.A. Bernevig, arXiv:1105.4867.
49. Q. Niu, D. Thouless, and Y.-S. Wu, Phys. Rev. B PRBMDO 0163-1829 31, 3372 (1985). 10.1103/PhysRevB.31.3372
50. D. Xiao, M.-C. Chang, and Q. Niu, Rev. Mod. Phys. 82, 1959 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.1959
51. H. Takatsu, S. Yonezawa, S. Fujimoto, and Y. Maeno, Phys. Rev. Lett. 105, 137201 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.137201