Integer quantum hall state in two-component bose gases in a synthetic magnetic field

Physical Review Letters

Volumn 111, Issue 9, 2013, Pages

  Furukawa, Shunsuke ^a   Ueda, Masahito ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHERN-SIMONS THEORY; COUNTERPROPAGATING; EXACT DIAGONALIZATION; FILLING FACTOR; INTEGER QUANTUM HALL STATE; TOPOLOGICAL ORDER; TOPOLOGICAL PHASE; TWO-COMPONENT;

BOSONS; MAGNETIC FIELDS; TOPOLOGY;

QUANTUM ENTANGLEMENT;

EID: 84884225345     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.090401     Document Type: Article

References (33)

1. For a review, see N. R. Cooper, Adv. Phys. 57, 539 (2008). ADPHAH 0001-8732 10.1080/00018730802564122
2. Y.-J. Lin, R. L. Compton, K. Jinménez-García, J. V. Porto, and I. B. Spielman, Nature (London) 462, 628 (2009). NATUAS 0028-0836 10.1038/nature08609
3. J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1523
4. N. K. Wilkin, J. M. F. Gunn, and R. A. Smith, Phys. Rev. Lett. 80, 2265 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2265
5. N. Read and E. H. Rezayi, Phys. Rev. B 59, 8084 (1999). PRBMDO 0163-1829 10.1103/PhysRevB.59.8084
6. N. R. Cooper, N. K. Wilkin, and J. M. F. Gunn, Phys. Rev. Lett. 87, 120405 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.120405
7. X.-G. Wen, Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford University Press, New York, 2004).
8. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010); RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
9. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
10. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983). PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X
11. X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Science 338, 1604 (2012); SCIEAS 0036-8075 10.1126/science.1227224
12. X. Chen Z.-C. Gu Z.-X. Liu X.-G. Wen Phys. Rev. B 87, 155114 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.155114
13. Y.-M. Lu and A. Vishwanath, Phys. Rev. B 86, 125119 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.125119
14. T. Senthil and M. Levin, Phys. Rev. Lett. 110, 046801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.046801
15. T. Graß, B. Juliá-Díaz, N. Barberán, and M. Lewenstein, Phys. Rev. A 86, 021603(R) (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.021603
16. S. Furukawa and M. Ueda, Phys. Rev. A 86, 031604(R) (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.031604
17. E. Ardonne and K. Schoutens, Phys. Rev. Lett. 82, 5096 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.5096
18. E. Ardonne, N. Read, E. Rezayi, and K. Schoutens, Nucl. Phys. B607, 549 (2001). NUPBBO 0550-3213 10.1016/S0550-3213(01)00224-3
19. E. J. Mueller and T.-L. Ho, Phys. Rev. Lett. 88, 180403 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.180403
20. K. Kasamatsu, M. Tsubota, and M. Ueda, Phys. Rev. Lett. 91, 150406 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.150406
21. K. Kasamatsu M. Tsubota M. Ueda Int. J. Mod. Phys. B 19, 1835 (2005). IJPBEV 0217-9792 10.1142/S0217979205029602
22. V. Schweikhard, I. Coddington, P. Engels, S. Tung, and E. A. Cornell, Phys. Rev. Lett. 93, 210403 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93. 210403
23. F. D. M. Haldane, Phys. Rev. Lett. 51, 605 (1983); PRLTAO 0031-9007 10.1103/PhysRevLett.51.605
24. G. Fano, F. Ortolani, and E. Colombo, Phys. Rev. B 34, 2670 (1986). PRBMDO 0163-1829 10.1103/PhysRevB.34.2670
25. B. Halperin, Helv. Phys. Acta 56, 75 (1983). HPACAK 0018-0238
26. B. Paredes, P. Zoller, and J. I. Cirac, Phys. Rev. A 66, 033609 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.033609
27. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.090401 for further numerical results, derivations of Eqs., evaluation of the excitation gap, and comments on Refs..
28. H. Li and F. D. M. Haldane, Phys. Rev. Lett. 101, 010504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
29. A. Sterdyniak, A. Chandran, N. Regnault, B. A. Bernevig, and P. Bonderson, Phys. Rev. B 85, 125308 (2012); PRBMDO 1098-0121 10.1103/PhysRevB.85. 125308
30. J. Dubail, N. Read, and E. H. Rezayi, Phys. Rev. B 85, 115321 (2012); PRBMDO 1098-0121 10.1103/PhysRevB.85.115321
31. I. D. Rodríguez, S. H. Simon, and J. K. Slingerland, Phys. Rev. Lett. 108, 256806 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.256806
32. Y.-H. Wu and J. K. Jain, Phys. Rev. B 87, 245123 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.245123
33. N. Regnault and T. Senthil, arXiv:1305.0298.