Generic incommensurate transition in the two-dimensional boson Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 2, 2004, Pages

  Alet, Fabien ^a   Sørensen, Erik S ^b  

^a ETH ZURICH   (Switzerland)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHASE TRANSITION; THERMODYNAMICS;

EID: 42749104841     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.024513     Document Type: Article

References (50)

1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
2. A. Kuklov, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. 92, 050402 (2004).
3. P. A. Crowell and J. P. Reppy, Phys. Rev. Lett. 70, 3291 (1993).
4. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
5. M. P. A. Fisher, G. Grinstein, and S. M. Girvin, Phys. Rev. Lett. 64, 587 (1990).
6. M. P. A. Fisher, Phys. Rev. Lett. 65, 923 (1990).
7. Y. Liu, D. B. Haviland, B. Nease, and A. M. Goldman, Phys. Rev. B 47, 5931 (1993).
8. N. Marković, C. Christiansen, and A. M. Goldman, Phys. Rev. Lett. 81, 5217 (1998).
9. N. Marković, C. Christiansen, A. M. Mack, W. H. Huber, and A. M. Goldman, Phys. Rev. B 60, 4320 (1999).
10. H. S. J. Zant, F. C. Fritschy, W. J. Erlion, L. J. Geerligs, and J. E. Mooij, Phys. Rev. Lett. 69, 2971 (1992).
11. N. Mason and A. Kapitulnik, Phys. Rev. Lett. 82, 5341 (1999).
12. K.-H. Wagenblast, A. v. Otterlo, G. Schön, and G. T. Zimanyi, Phys. Rev. Lett. 78, 1779 (1997).
13. D. Dalidovich and P. Phillips, Phys. Rev. B 64, 052507 (2001).
14. D. Das and S. Doniach, Phys. Rev. B 60, 1261 (1999).
15. P. Phillips and D. Dalidovich, Science 302, 243 (2003).
16. W. Krauth and N. Trivedi, Europhys. Lett. 14, 7 (1991).
17. W. Krauth, N. Trivedi, and D. Ceperley, Phys. Rev. Lett. 67, 2307 (1991).
18. S. Zhang, N. Kawashima, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. 74, 1500 (1995).
19. E. S. Sorensen, M. Wallin, S. M. Girvin, and A. P. Young, Phys. Rev. Lett. 69, 828 (1992).
20. M. Wallin, E. S. Sorensen, S. M. Girvin, and A. P. Young, Phys. Rev. B 49, 12 115 (1994).
21. J. T. Chayes, D. S. Fisher, and T. Spencer, Phys. Rev. Lett. 57, 2999 (1986).
22. J. Kisker and H. Rieger, Phys. Rev. B 55, R11981 (1997).
23. S. Y. Park, J.-W. Lee, M.-C. Cha, M. Y. Choi, B. J. Kim, and D. Kim, Phys. Rev. B 59, 8420 (1999).
24. J.-W. Lee, M.-C. Cha, and D. Kim, Phys. Rev. Lett. 87, 247006 (2001).
25. J.-W. Lee, M.-C. Cha, and D. Kim, Phys. Rev. Lett. 88, 049901(E) (2002).
26. N. V. Prokof'ev and B. V. Svistunov, Phys. Rev. Lett. 87, 160601 (2001).
27. F. Alet and E. Sørensen, Phys. Rev. E 67, 015701(R) (2003).
28. N. V. Prokof'ev and B. V. Svistunov, Phys. Rev. Lett. 92, 015703 (2004).
29. N. V. Prokof'ev and B. V. Svistunov, cond-mat/0310251 (2003).
30. A. v. Otterlo and K.-H. Wagenblast, Phys. Rev. Lett. 72, 3598 (1994).
31. A. v. Otterlo, K.-H. Wagenblast, R. Baltin, C. Bruder, R. Fazio, and G. Schon, Phys. Rev. B 52, 16 176 (1995).
32. G. G. Batrouni, R. T. Scalettar, G. T. Zimanyi, and A. P. Kampf, Phys. Rev. Lett. 74, 2527 (1995).
33. J. Villain, J. Phys. (France) 36, 581 (1975).
34. J. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B 16, 1217 (1977).
35. M. P. A. Fisher and D. H. Lee, Phys. Rev. B 39, 2756 (1989).
36. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. 22, 4 (1993).
37. J. K. Freericks and H. Monien, Phys. Rev. B 53, 2691 (1996).
38. N. Niemeyer, J. K. Freericks, and H. Monien, Phys. Rev. B 60, 2357 (1999).
39. M.-C. Cha, M. P. A. Fisher, S. M. Girvin, M. Wallin, and A. P. Young, Phys. Rev. B 44, 6883 (1991).
40. M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 214503 (2001).
41. F. Alet and E. Sorensen, Phys. Rev. E 68, 026702 (2003).
42. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
43. B. Efron, An Introduction to the Bootstrap (Chapmann and Hall, New York, 1993).
44. M. Guo, R. N. Bhatt, and D. A. Huse, Phys. Rev. Lett. 72, 4137 (1994).
45. H. Rieger and A. P. Young, Phys. Rev. Lett. 72, 4141 (1994).
46. E. S. Sørensen and E. Roddick, Phys. Rev. B 53, R8867 (1996).
47. M. Fukugita, H. Mino, M. Okawa, and A. Ukawa, J. Phys. A 23, L561 (1990).
48. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 65, 137 (1990).
49. τ=2 peak is further away for the systems sizes studied.
50. C. Chamon and C. Nayak, Phys. Rev. B 66, 094506 (2000).