Coulomb gas transitions in three-dimensional classical dimer models

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 4, 2009, Pages

  Chen, Gang ^a   Gukelberger, Jan ^a   Trebst, Simon ^a   Alet, Fabien ^c,d   Balents, Leon ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITÉ PAUL SABATIER   (France)

^d CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69949152746     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.045112     Document Type: Article

References (38)

1. D. L. Bergman, R. Shindou, G. A. Fiete, and L. Balents, Phys. Rev. Lett. 96, 097207 (2006). 10.1103/PhysRevLett.96.097207 (Pubitemid 43385023)
2. D. Bergman, J. Alicea, E. Gull, S. Trebst, and L. Balents, Nat. Phys. 3, 487 (2007). 10.1038/nphys622
3. D. L. Bergman, G. A. Fiete, and L. Balents, Phys. Rev. B 73, 134402 (2006). 10.1103/PhysRevB.73.134402
4. F. Alet, G. Misguich, V. Pasquier, R. Moessner, and J. L. Jacobsen, Phys. Rev. Lett. 97, 030403 (2006). 10.1103/PhysRevLett.97.030403 (Pubitemid 44100060)
5. T. S. Pickles, T. E. Saunders, and J. T. Chalker, EPL 84, 36002 (2008). 10.1209/0295-5075/84/36002
6. C. Castelnovo, C. Chamon, C. Mudry, and P. Pujol, Phys. Rev. B 73, 144411 (2006). 10.1103/PhysRevB.73.144411
7. D. A. Huse, W. Krauth, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 91, 167004 (2003). 10.1103/PhysRevLett.91.167004
8. M. Hermele, M. P. A. Fisher, and L. Balents, Phys. Rev. B 69, 064404 (2004). 10.1103/PhysRevB.69.064404
9. S. V. Isakov, K. Gregor, R. Moessner, and S. L. Sondhi, Phys. Rev. Lett. 93, 167204 (2004) 10.1103/PhysRevLett.93.167204
10. C. L. Henley, Phys. Rev. B 71, 014424 (2005). 10.1103/PhysRevB.71.014424
11. F. H. Stillinger and M. A. Cotter, J. Chem. Phys. 58, 2532 (1973). 10.1063/1.1679535
12. J. Villain and J. Schneider, in Physics and Chemistry of Ice, edited by, E. Whalley, S. J. Jones, and, L. W. Gold, (Royal Society of Canada, Ottawa, 1973)
13. see also, J. Villain, Solid State Commun. 10, 967 (1972). 10.1016/0038-1098(72)90232-3
14. R. W. Youngblood and J. D. Axe, Phys. Rev. B 23, 232 (1981). 10.1103/PhysRevB.23.232
15. G. Misguich, V. Pasquier, and F. Alet, Phys. Rev. B 78, 100402 (R) (2008). 10.1103/PhysRevB.78.100402
16. A. W. Sandvik and R. Moessner, Phys. Rev. B 73, 144504 (2006). 10.1103/PhysRevB.73.144504
17. F. Alet, Y. Ikhlef, J. L. Jacobsen, G. Misguich, and V. Pasquier, Phys. Rev. E 74, 041124 (2006). 10.1103/PhysRevE.74.041124 (Pubitemid 44656347)
18. M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Phys. Rev. B 74, 144506 (2006). 10.1103/PhysRevB.74.144506 (Pubitemid 44527857)
19. A. Cucchieri, J. Phys. A 35, 6517 (2002). 10.1088/0305-4470/35/31/301 (Pubitemid 37049344)
20. A similar value ξ2 (Tc) =0.9204 (10) is found for the 3D isotropic link-current model [see for instance F. Alet and E. Sørensen, Phys. Rev. E 67, 015701 (2003)] 10.1103/PhysRevE.67.015701
21. which has a phase transition in the 3D XY universality class [F. Alet (unpublished)]. The comparison to the current study needs a further investigation of the role of anisotropy in the link-current model (as the dimer models are themselves anisotropic).
22. O. I. Motrunich and T. Senthil, Phys. Rev. B 71, 125102 (2005). 10.1103/PhysRevB.71.125102 (Pubitemid 40771074)
23. J. B. Kogut, Rev. Mod. Phys. 51, 659 (1979). 10.1103/RevModPhys.51.659
24. C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47, 1556 (1981). 10.1103/PhysRevLett.47.1556
25. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science 303, 1490 (2004). 10.1126/science.1091806 (Pubitemid 38314412)
26. T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B 70, 144407 (2004). 10.1103/PhysRevB.70.144407 (Pubitemid 40052583)
27. S. Kragset, E. Smørgrav, J. Hove, F. S. Nogueira, and A. Sudbø, Phys. Rev. Lett. 97, 247201 (2006). 10.1103/PhysRevLett.97.247201 (Pubitemid 44907438)
28. F. J. Jiang, M. Nyfeler, S. Chandrasekharan, and U. J. Wiese, J. Stat. Mech.: Theory Exp. (2008) P02009. 10.1088/1742-5468/2008/02/P02009
29. A. W. Sandvik, Phys. Rev. Lett. 98, 227202 (2007). 10.1103/PhysRevLett. 98.227202 (Pubitemid 47139700)
30. R. G. Melko and R. K. Kaul, Phys. Rev. Lett. 100, 017203 (2008). 10.1103/PhysRevLett.100.017203
31. O. I. Motrunich and A. Vishwanath, arXiv:0805.1494 (unpublished).
32. A. B. Kuklov, M. Matsumoto, N. V. Prokofâev, B. V. Svistunov, and M. Troyer, Phys. Rev. Lett. 101, 050405 (2008). 10.1103/PhysRevLett.101.050405
33. D. Charrier, F. Alet, and P. Pujol, Phys. Rev. Lett. 101, 167205 (2008). 10.1103/PhysRevLett.101.167205
34. S. Powell and J. T. Chalker, Phys. Rev. Lett. 101, 155702 (2008) 10.1103/PhysRevLett.101.155702
35. S. Powell and J. T. Chalker, Phys. Rev. B 78, 024422 (2008). 10.1103/PhysRevB.78.024422
36. A. F. Albuquerque, J. Magn. Magn. Mater. 310, 1187 (2007). 10.1016/j.jmmm.2006.10.304 (Pubitemid 46319725)
37. M. Troyer, B. Ammon, and E. Heeb, Lect. Notes Comput. Sci. 1505, 191 (1998). 10.1007/3-540-49372-7-20
38. The only difference with the algorithms presented in Refs. concerns the computation of the weights wij [see, for instance, in, e.g., Eq. (33) of Ref. and the related heat-bath probabilities] which depend on the energetics of the model simulated.