Striped phase in a quantum XY modal with ring exchange

Physical Review Letters

Volumn 89, Issue 24, 2002, Pages 2472011-2472014

  Sandvik, A W ^a,b   Daul, S ^c   Singh, R R P ^d   Scalapino, D J ^b  

^a ÅBO AKADEMI UNIVERSITY   (Finland)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY GAP; FERROMAGNETISM; GROUND STATE; HAMILTONIANS; MAGNETIZATION; MONTE CARLO METHODS; PHASE TRANSITIONS;

SPIN GAPS;

QUANTUM THEORY;

EID: 0037049509     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. D.J. Thouless, Proc. Phys. Soc. London 86, 893 (1965).
2. M. Roger, J.H. Hetherington, and J.M. Delrieu, Rev. Mod. Phys. 55, 1 (1983); M. Roger et al., Phys. Rev. Lett. 80, 1308 (1998); G. Misguich et al., ibid. 81, 1098 (1998).
3. M. Roger, J.H. Hetherington, and J.M. Delrieu, Rev. Mod. Phys. 55, 1 (1983); M. Roger et al., Phys. Rev. Lett. 80, 1308 (1998); G. Misguich et al., ibid. 81, 1098 (1998).
4. M. Roger, J.H. Hetherington, and J.M. Delrieu, Rev. Mod. Phys. 55, 1 (1983); M. Roger et al., Phys. Rev. Lett. 80, 1308 (1998); G. Misguich et al., ibid. 81, 1098 (1998).
5. K. Voelker and S. Chakravarty, Phys. Rev. B 64, 235125 (2001).
6. B. Bernu, L. Candido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
7. B.S. Shastry and B.I. Shraiman, Phys. Rev. Lett. 65, 1068 (1990); Int. J. Mod. Phys. B 5, 365 (1991).
8. B.S. Shastry and B.I. Shraiman, Phys. Rev. Lett. 65, 1068 (1990); Int. J. Mod. Phys. B 5, 365 (1991).
9. M. Roger and J.M. Delrieu, Phys. Rev. B 39, 2299 (1989); Y. Honda, Y. Kuramoto, and T. Watanabe, ibid. 47, 11 329 (1993).
10. M. Roger and J.M. Delrieu, Phys. Rev. B 39, 2299 (1989); Y. Honda, Y. Kuramoto, and T. Watanabe, ibid. 47, 11 329 (1993).
11. J. Lorenzana, J. Eroles, and S. Sorella, Phys. Rev. Lett. 83, 5122 (1999).
12. R. Coldea et al., Phys. Rev. Lett. 86, 5377 (2001).
13. M. Matsuda et al., Phys. Rev. B 62, 8903 (2000).
14. G. Misguich et al., Phys. Rev. B 60, 1064 (1999).
15. T. Senthil and M.P.A. Fisher, Phys. Rev. B 63, 134521 (2001).
16. L. Balents, M.P.A. Fisher, and S.M. Girvin, Phys. Rev. B 65, 224412 (2002).
17. S. Sachdev and K. Park, Ann. Phys. (N.Y.) 298, 58 (2002).
18. R.D. Sedgewick, D.J. Scalapino, and R.L. Sugar, Phys. Rev. B 65, 054508 (2002).
19. E. Demler et al., Phys. Rev. B 65, 155103 (2002).
20. A. Paramekanti, L. Balents, and M.P.A. Fisher, Phys. Rev. B 66, 054526 (2002).
21. A.W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991); A.W. Sandvik, J. Phys. A 25, 3667 (1992).
22. A.W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991); A.W. Sandvik, J. Phys. A 25, 3667 (1992).
23. A.W. Sandvik, Phys. Rev. B 59, R14 157 (1999).
24. O.E Syljuåsen and A.W. Sandvik, Phys. Rev. E 66, 046701 (2002).
25. E. Loh, D.J. Scalapino, and P.M. Grant, Phys. Rev. B 31, 4712 (1985).
26. K. Harada and N. Kawashima, Phys. Rev. B 55, R11 949 (1998).
27. J. Oitmaa and D.D. Betts, Can. J. Phys. 56, 897 (1978); S. Zhang and K.J. Runge, Phys. Rev. B 45, 1052 (1992).
28. J. Oitmaa and D.D. Betts, Can. J. Phys. 56, 897 (1978); S. Zhang and K.J. Runge, Phys. Rev. B 45, 1052 (1992).
29. A.W. Sandvik and C.J. Hamer, Phys. Rev. B 60, 6588 (1999).
30. ijkl has been developed in order to study large K/J. Further details of the simulation algorithm will be presented elsewhere.
31. A.W. Sandvik, Phys. Rev. B 56, 11678 (1997).
32. A.W. Sandvik, Phys. Rev. Lett. 83, 3069 (1999).
33. P. Hasenfratz and F. Niedermayer, Z. Phys. B 92, 91 (1993).
34. S. Chakravarty, B.I. Halperin, and D.R. Nelson, Phys. Rev. Lett 60, 1057 (1988); Phys. Rev. B 39, 2344 (1989).
35. S. Chakravarty, B.I. Halperin, and D.R. Nelson, Phys. Rev. Lett 60, 1057 (1988); Phys. Rev. B 39, 2344 (1989).
36. [29] A.V. Chubukov, S. Sachdev, and J. Ye, Phys. Rev. B 49, 11 919 (1994).
37. N. Read and S. Sachdev, Phys. Rev. Lett 62, 1694 (1989); L. Capriotti et al., ibid. 87, 097201 (2001); O.P. Sushkov, J. Oitmaa, and Z. Weihong, Phys. Rev. B 63, 104420 (2001).
38. N. Read and S. Sachdev, Phys. Rev. Lett 62, 1694 (1989); L. Capriotti et al., ibid. 87, 097201 (2001); O.P. Sushkov, J. Oitmaa, and Z. Weihong, Phys. Rev. B 63, 104420 (2001).
39. N. Read and S. Sachdev, Phys. Rev. Lett 62, 1694 (1989); L. Capriotti et al., ibid. 87, 097201 (2001); O.P. Sushkov, J. Oitmaa, and Z. Weihong, Phys. Rev. B 63, 104420 (2001).
40. E.W. Carlson, V.J. Emery, S.A. Kivelson, and D. Orgad, cond-mat/0206217.
41. F. Hébert et al., Phys. Rev. B 65, 014513 (2002).