Exotic phase diagram of a cluster charging model of bosons on the kagome lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 22, 2007, Pages

  Isakov, Sergei V ^a   Paramekanti, Arun ^a   Kim, Yong Baek ^a,b  

^a UNIVERSITY OF TORONTO   (Canada)

^b Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37649025107     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.224431     Document Type: Article

References (37)

1. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.2664 44, 2664 (1991);
2. Cargese Lectures, 1990 (unpublished).
3. S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.12377 45, 12377 (1992).
4. T. Senthil and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.7850 62, 7850 (2000).
5. O. I. Motrunich and T. Senthil, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.125102 71, 125102 (2005).
6. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006).
7. X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 016803 90, 016803 (2003).
8. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1881 86, 1881 (2001).
9. G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.137202 89, 137202 (2002).
10. T. Senthil and O. I. Motrunich, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.205104 66, 205104 (2002);
11. O. I. Motrunich and T. Senthil, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277004 89, 277004 (2002).
12. A. W. Sandvik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.R14157 59, R14157 (1999);
13. O. F. Syljuåsen and A. W. Sandvik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046701 66, 046701 (2002).
14. Since the standard algorithm based on a bond as the elementary lattice unit is not very efficient at large Jz J, we use a plaquette generalization [see K. Louis and C. Gros, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.100410 70, 100410 (R) (2004)], where the elementary lattice unit is a kagome hexagon.
15. S. V. Isakov, Yong Baek Kim, and A. Paramekanti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.207204 97, 207204 (2006).
16. L. Balents, M. P. A. Fisher, and S. M. Girvin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.224412 65, 224412 (2002).
17. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
18. D. N. Sheng and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.146805 94, 146805 (2005).
19. E. L. Pollock and D. M. Ceperley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.8343 36, 8343 (1987).
20. S. V. Isakov, A. Paramekanti, and Y.-B. Kim (unpublished).
21. S. V. Isakov, S. Wessel, R. G. Melko, K. Sengupta, and Yong Baek Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.147202 97, 147202 (2006).
22. M. Oshikawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84. 1535 84, 1535 (2000).
23. A. Paramekanti and A. Vishwanath, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245118 70, 245118 (2004).
24. V. L. Berenzinskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 61, 1144 (1971)
25. V. L. Berenzinskii, [Sov. Phys. JETP SPHJAR 0038-5646 34, 610 (1972)].
26. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
27. J. M. Caillol and D. Levesque, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.499 33, 499 (1986).
28. P. Minnhagen and M. Wallin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.5620 36, 5620 (1987);
29. P. Minnhagen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1001 59, 1001 (1987).
30. J. M. Kosterlitz, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/6/005 7, 1046 (1974).
31. H. Weber and P. Minnhagen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.37.5986 37, 5986 (1988).
32. P. Olsson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.4526 52, 4526 (1995).
33. K. Harada and N. Kawashima, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R11949 55, R11949 (1997).
34. L. Balents, M. P. A. Fisher, and C. Nayak, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.1654 60, 1654 (1999).
35. A. Diehl, M. C. Barbosa, and Y. Levin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.619 56, 619 (1997).
36. J. Robert, V. Simonet, B. Canals, R. Ballou, P. Bordet, P. Lejay, and A. Stunault, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.197205 96, 197205 (2006);
37. J. S. Helton, K. Matan, M. P. Shores, E. A. Nytko, B. M. Bartlett, Y. Yoshida, Y. Takano, A. Suslov, Y. Qiu, J.-H. Chung, D. G. Nocera, and Y. S. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.107204 98, 107204 (2007).