Fractional quantum Hall states in the vicinity of Mott plateaus

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 5, 2010, Pages

  UmucalIlar, R O ^a,b   Mueller, Erich J ^b  

^a BILKENT UNIVERSITY   (Turkey)

^b Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFIGURATION-INTERACTION CALCULATIONS; FRACTIONAL QUANTUM HALL EFFECTS; FRACTIONAL QUANTUM HALL STATE; MOTT-INSULATING STATE; OPTICAL LATTICES; SMALL SYSTEMS; VARIATIONAL MONTE CARLO;

HALL EFFECT; QUANTUM THEORY;

MAGNETIC FIELD EFFECTS;

EID: 77953163185     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.053628     Document Type: Article

References (45)

1. R. O. UmucalIlar and M. Ö. Oktel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.055601 76, 055601 (2007).
2. M. Hafezi, A. S. Sørensen, E. Demler, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023613 76, 023613 (2007).
3. A. S. Sørensen, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.086803 94, 086803 (2005).
4. R. N. Palmer, A. Klein, and D. Jaksch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013609 78, 013609 (2008);
5. R. N. Palmer and D. Jaksch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.180407 96, 180407 (2006).
6. R. Bhat, M. Krämer, J. Cooper, and M. J. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043601 76, 043601 (2007);
7. R. Bhat, B. M. Peden, B. T. Seaman, M. Krämer, L. D. Carr, and M. J. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.063606 74, 063606 (2006);
8. R. Bhat, L. D. Carr, and M. J. Holland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.060405 96, 060405 (2006).
9. G. Möller and N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.105303 103, 105303 (2009).
10. N. R. Cooper, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730802564122 57, 539 (2008).
11. J. Ye and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5409 80, 5409 (1998);
12. D. Pfannkuche and A. H. MacDonald, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.56.R7100 56, R7100 (1997);
13. F. F. Assaad and S. Biskamp, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.51.1605 51, 1605 (1995);
14. W. Chen, M. P. A. Fisher, and Y.-S. Wu, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.48.13749 48, 13749 (1993);
15. X.-G. Wen and Y.-S. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1501 70, 1501 (1993);
16. H. Aoki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.1136 55, 1136 (1985);
17. A. H. MacDonald, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.29.6563 29, 6563 (1984);
18. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.405 49, 405 (1982).
19. D. R. Hofstadter, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.14.2239 14, 2239 (1976).
20. D. S. Goldbaum and E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.021602 79, 021602 (R) (2009);
21. D. S. Goldbaum and E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.033629 77, 033629 (2008).
22. M. Ö. Oktel, M. Niţ?, and B. Tanatar, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.75.045133 75, 045133 (2007).
23. M. Niemeyer, J. K. Freericks, and H. Monien, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.60.2357 60, 2357 (1999).
24. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
25. F. D. M. Haldane and E. H. Rezayi, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.31.2529 31, 2529 (1985).
26. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
27. E. J. Mueller, T.-L. Ho, M. Ueda, and G. Baym, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.033612 74, 033612 (2006).
28. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 55.2095 55, 2095 (1985).
29. See, for instance, Quantum Monte Carlo Methods in Physics and Chemistry, edited by, M. P. Nightingale, and, C. J. Umrigar,, NATO Science Series, Series C: Mathematical and Physical Sciences, Vol. 525 (Kluwer Academic, Boston, 1999);
30. S. Fahy, X. W. Wang, and S. G. Louie, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.42.3503 42, 3503 (1990);
31. N. Trivedi and D. M. Ceperley, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.41.4552 41, 4552 (1990);
32. H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.56.1490 56, 1490 (1987).
33. V. Ambegaokar and M. Troyer, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.3247985 78, 150 (2010).
34. R. A. Williams, S. Al-Assam, and C. J. Foot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.050404 104, 050404 (2010).
35. S. Tung, V. Schweikhard, and E. A. Cornell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.240402 97, 240402 (2006).
36. K. J. Günter, M. Cheneau, T. Yefsah, S. P. Rath, and J. Dalibard, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.011604 79, 011604 (R) (2009);
37. Q. Zhang, J. Gong, and C. H. Oh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.043632 79, 043632 (2009);
38. I. B. Spielman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063613 79, 063613 (2009);
39. G. Juzeliūnas, P. Öhberg, J. Ruseckas, and A. Klein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053614 71, 053614 (2005);
40. J. Ruseckas, G. Juzeliūnas, P. Öhberg, and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010404 95, 010404 (2005);
41. E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.041603 70, 041603 (2004);
42. D. Jaksch and P. Zoller, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/356 5, 56 (2003);
43. J. Ruostekoski, G. V. Dunne, and J. Javanainen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.180401 88, 180401 (2002).
44. Y.-J. Lin, R. L. Compton, K. Jimenez-Garcia, J. V. Porto, and I. B. Spielman, Nature (London) NATUAS 0028-0836 10.1038/nature08609 462, 628 (2009).
45. R. O. UmucalIlar, H. Zhai, and M. Ö. Oktel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.070402 100, 070402 (2008).