Topological Hubbard model and its high-temperature quantum Hall effect

Physical Review Letters

Volumn 108, Issue 4, 2012, Pages

  Neupert, Titus ^a   Santos, Luiz ^b   Ryu, Shinsei ^c   Chamon, Claudio ^d   Mudry, Christopher ^a  

^a PAUL SCHERRER INSTITUTE   (Switzerland)

^b HARVARD UNIVERSITY   (United States)

^c University of Illinois at Urbana Champaign   (United States)

^d Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY OF ELECTRON; EXTERNAL MAGNETIC FIELD; HIGH TEMPERATURE; LONG RANGE ORDERS; PLANAR LATTICE; QUANTUM HALL EFFECT; REPULSIVE INTERACTIONS; SPIN HALL EFFECT; STRONGLY CORRELATED MATERIALS; TIME-REVERSAL; TWO-DIMENSIONAL LATTICE MODEL;

HALL EFFECT; HUBBARD MODEL; MAGNETIC FIELDS;

TOPOLOGY;

EID: 84856190021     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.046806     Document Type: Article

References (28)

1. P.A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.17 (Pubitemid 43279669)
2. The Quantum Hall Effect, edited by R.E. Prange and S.M. Girvin (Springer, New York, 1987).
3. F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
4. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106, 236804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804
5. D.N. Sheng, Z. Gu, K. Sun, and L. Sheng, Nature Commun. 2, 389 (2011). 2041-1723 10.1038/ncomms1380
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. N. Regnault and B.A. Bernevig, arXiv:1105.4867.
8. D. Xiao, W. Zhu, Y. Ran, N. Nagaosa, and S. Okamoto, arXiv:1106.4296.
9. Fa Wang and Ying Ran, Phys. Rev. B PRBMDO 1098-0121 84, 241103 (2011). 10.1103/PhysRevB.84.241103
10. E. Tang, J.W. Mei, and X.G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 106, 236802 (2011); 10.1103/PhysRevLett.106.236802
11. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 106, 236803 (2011). 10.1103/PhysRevLett.106.236803
12. B.A. Bernevig and S.-C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
13. H. Katsura, I. Maruyama, A. Tanaka, and H. Tasaki, Europhys. Lett. EULEEJ 0295-5075 91, 57007 (2010), and references therein. 10.1209/0295-5075/91/57007
14. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.046806 for the intermediary steps.
15. T. Thonhauser and David Vanderbilt, Phys. Rev. B PRBMDO 1098-0121 74, 235111 (2006). 10.1103/PhysRevB.74.235111 (Pubitemid 44974788)
16. See, for instance, K. von Klitzing, Phil. Trans. R. Soc. A 363, 2203 (2005). PTRMAD 1364-503X 10.1098/rsta.2005.1640 (Pubitemid 41382822)
17. J. Matthews and M.E. Cage, J. Res. Natl. Inst. Stand. Technol. 110, 497 (2005). JRITEF 1044-677X
18. R.W. Rendell and S.M. Girvin, Phys. Rev. B PRBMDO 0163-1829 23, 6610 (1981). 10.1103/PhysRevB.23.6610
19. R.A. Matula, J. Phys. Chem. Ref. Data 8, 1147 (1979). JPCRBU 0047-2689 10.1063/1.555614
20. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 (Pubitemid 41776999)
21. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 (Pubitemid 41777602)
22. B.A. Bernevig, T.L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734 (Pubitemid 44969083)
23. M. König, S. Wiedmann, C. Brüne, 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)
24. S.-L. Zhu, B. Wang, and L.-M. Duan, Phys. Rev. Lett. 98, 260402 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.260402 (Pubitemid 47139981)
25. L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, arXiv:1111.5020.
26. For reviews of dynamical mean-field theory and matrix product state methods, see, respectively, A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. 68, 13 (1996); and RMPHAT 0034-6861 10.1103/RevModPhys.68.13
27. J.I. Cirac and F. Verstraete, J. Phys. A 1751-8113 42, 504004 (2009). 10.1088/1751-8113/42/50/504004
28. See supplemental material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.046806 for a discussion of the ground state that is not fully spin-polarized.