Bose-Hubbard models with synthetic spin-orbit coupling: Mott insulators, spin textures, and superfluidity

Physical Review Letters

Volumn 109, Issue 8, 2012, Pages

  Cole, William S ^a   Zhang, Shizhong ^a   Paramekanti, Arun ^b,c   Trivedi, Nandini ^a  

^a OHIO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

^c CANADIAN INSTITUTE FOR ADVANCED RESEARCH   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE HUBBARD MODEL; BRAGG SCATTERING; IN-SITU; MAGNETIC ORDERS; MAGNETIC TEXTURES; MEAN-FIELD TREATMENTS; MODULATED CURRENT; MOTT INSULATORS; NON-ABELIAN GAUGE; SPIN TEXTURES; SPIN-CHARGE ORDER; SPIN-ORBIT COUPLINGS; STRONG-COUPLING EXPANSION; TWO-DIMENSION; ULTRACOLD ATOMS;

HIGH ENERGY PHYSICS; PHASE DIAGRAMS; PHYSICAL OPTICS; TEXTURES;

HUBBARD MODEL;

EID: 84865224807     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.085302     Document Type: Article

References (37)

1. M. Hasan and C. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
2. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
3. X. Wan, A.M. Turner, A. Vishwanath, and S.Y. Savrasov, Phys. Rev. B PRBMDO 1098-0121 83, 205101 (2011). 10.1103/PhysRevB.83.205101
4. A. Kitaev, Ann. Phys. (N.Y.) 321, 2 (2006). APNYA6 0003-4916 10.1016/j.aop.2005.10.005 (Pubitemid 43072824)
5. G. Jackeli and G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.017205
6. Y.J. Lin, R.L. Compton, A.R. Perry, W.D. Phillips, J.V. Porto, and I.B. Spielman, Phys. Rev. Lett. 102, 130401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.130401
7. Y.J. Lin, R.L. Compton, K. Jiménez-Garca, J.V. Porto, and I.B. Spielman, Nature (London) NATUAS 0028-0836 462, 628 (2009). 10.1038/nature08609
8. Y.J. Lin, K. Jiménez-Garíca, and I.B. Spielman, Nature (London) NATUAS 0028-0836 471, 83 (2011). 10.1038/nature09887
9. S. Chen, J.-Y. Zhang, S.-C. Ji, Z. Chen, L. Zhang, Z.-D. Du, Y. Deng, H. Zhai, and J.-W. Pan, arXiv:1201.6018.
10. H. Hu, B. Ramachandhran, H. Pu, and X.-J. Liu, Phys. Rev. Lett. 108, 010402 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.010402
11. T.D. Stanescu, B. Anderson, and V. Galitski, Phys. Rev. A 78, 023616 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.023616
12. T.-L. Ho and S. Zhang, Phys. Rev. Lett. 107, 150403 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.150403
13. C. Wang, C. Gao, C.-M. Jian, and H. Zhai, Phys. Rev. Lett. 105, 160403 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.160403
14. W. Cong-Jun, I. Mondragon-Shem, and Z. Xiang-Fa, Chin. Phys. Lett. 28, 097102 (2011). CPLEEU 0256-307X 10.1088/0256-307X/28/9/097102
15. T. Ozawa and G. Baym, Phys. Rev. A 85, 013612 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.013612
16. Y. Zhang, L. Mao, and C. Zhang, Phys. Rev. Lett. 108, 035302 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.035302
17. M.P.A. Fisher, P.B. Weichman, G. Grinstein, and D.S. Fisher, Phys. Rev. B 40, 546 (1989). PRBMDO 0163-1829 10.1103/PhysRevB.40.546
18. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108
19. E. Altman, W. Hofstetter, E. Demler, and M.D. Lukin, New J. Phys. 5, 113 (2003). NJOPFM 1367-2630 10.1088/1367-2630/5/1/113
20. M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 415, 39 (2002). 10.1038/415039a (Pubitemid 34062442)
21. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2011).
22. T. Graß, K. Saha, K. Sengupta, and M. Lewenstein, Phys. Rev. A 84, 053632 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.053632
23. I. Dzyaloshinskii, J. Phys. Chem. Solids JPCSAW 0022-3697 4, 241 (1958). 10.1016/0022-3697(58)90076-3
24. T. Moriya, Phys. Rev. 120, 91 (1960). PHRVAO 0031-899X 10.1103/PhysRev.120.91
25. K. Osterloh, M. Baig, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. 95, 010403 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.010403 (Pubitemid 41506410)
26. L.-M. Duan, E. Demler, and M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402
27. See Supplementary Material http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.085302 for more details on the slave boson decomposition and mean field equations, and technical details of the Monte Carlo simulations of the classical model and the inhomogeneous mean-field description of the superfluid at strong coupling.
28. W.S. Cole, S. Zhang, A. Paramekanti, and N. Trivedi (to be published).
29. K. Sheshadri, H.R. Krishnamurthy, R. Pandit, and T.V. Ramakrishnan, Europhys. Lett. EULEEJ 0295-5075 22, 257 (1993). 10.1209/0295-5075/22/4/004
30. 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)
31. D. Pesin and L. Balents, Nature Phys. 6, 376 (2010). NPAHAX 1745-2473 10.1038/nphys1606
32. L.-K. Lim, C.M. Smith, and A. Hemmerich, Phys. Rev. Lett. 100, 130402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.130402 (Pubitemid 351490853)
33. A. Dhar, M. Maji, T. Mishra, R.V. Pai, S. Mukerjee, and A. Paramekanti, Phys. Rev. A 85, 041602 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.041602
34. T.A. Corcovilos, S.K. Baur, J.M. Hitchcock, E.J. Mueller, and R.G. Hulet, Phys. Rev. A 81, 013415 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.013415
35. C. Weitenberg, M. Endres, J.F. Sherson, M. Cheneau, P. Schausz, T. Fukuhara, I. Bloch, and S. Kuhr, Nature (London) NATUAS 0028-0836 471, 319 (2011). 10.1038/nature09827
36. M. Killi and A. Paramekanti, Phys. Rev. A 85, 061606 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.061606
37. J. Radić, A. Di Ciolo, K. Sun, and V. Galitski, following Letter, Phys. Rev. Lett. 109, 085303 (2012). PRLTAO 0031-9007