Microscopic models for fractionalized phases in strongly correlated systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 20, 2002, Pages 2051041-2051049

  Senthil, T ^a   Motrunich, O ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELECTRONICS; MAGNETIC FIELD; MICROSCOPY; PHASE TRANSITION;

EID: 0037113463     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.205104     Document Type: Article

References (38)

1. P. W. Anderson, Science 235, 1196 (1987).
2. S. Kivelson, D. S. Rokhsar, and J. Sethna, Phys. Rev. B 35, 8865 (1987).
3. T. Senthil and M. P. A. Fisher, Phys. Rev. B 62, 7850 (2000).
4. R. Coldea, D. A. Tennant, A. M. Tsvelik, and Z. Tylczynski, Phys. Rev. Lett. 86, 1335 (2001).
5. B. Bernu, L. Candido, and D. M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
6. G. Misguich, C. Lhuillier, and B. Bemu, Phys. Rev. B 60, 1064 (1999); W. LiMing, G. Misguich, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 62, 6372 (2000).
7. G. Misguich, C. Lhuillier, and B. Bemu, Phys. Rev. B 60, 1064 (1999); W. LiMing, G. Misguich, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 62, 6372 (2000).
8. S. Chakravarty, S. Kivelson, C. Nayak, and K. Voelker, Philos. Mag. B 79, 859 (1999).
9. C. H. Chung, J. B. Marston, and R. H. McKenzie, J. Phys. C 13, 5159 (2001).
10. C. H. Chung, J. B. Marston, and S. Sachdev, Phys. Rev. B 64, 134 407 (2001).
11. For work on fractionalization in frustrated spin models, see N. Read and S. Sachdev, Phys. Rev. Lett. 66, 1773 (1991); S. Sachdev and N. Read, Int. J. Mod. Phys. B 5, 219 (1991).
12. For work on fractionalization in frustrated spin models, see N. Read and S. Sachdev, Phys. Rev. Lett. 66, 1773 (1991); S. Sachdev and N. Read, Int. J. Mod. Phys. B 5, 219 (1991).
13. X. G. Wen, Phys. Rev. B 44, 2664 (1991).
14. L. Balents, M. P. A. Fisher, and C. Nayak, Phys. Rev. B 60, 1654 (1999); ibid. 61, 6307 (2000).
15. L. Balents, M. P. A. Fisher, and C. Nayak, Phys. Rev. B 60, 1654 (1999); ibid. 61, 6307 (2000).
16. T. Senthil and M. P. A. Fisher, Phys. Rev. B 63, 134 521 (2001).
17. X. G. Wen, Int. J. Mod. Phys. B 4, 239 (1990).
18. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988).
19. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 86, 1881 (2001).
20. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B 4, 225 (1990); S. Sachdev and M. Vojta, J. Phys. Soc. Jpn. 69, 1 (2000); R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024 504 (2002).
21. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B 4, 225 (1990); S. Sachdev and M. Vojta, J. Phys. Soc. Jpn. 69, 1 (2000); R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024 504 (2002).
22. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B 4, 225 (1990); S. Sachdev and M. Vojta, J. Phys. Soc. Jpn. 69, 1 (2000); R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024 504 (2002).
23. L. Balents, M. P. A. Fisher, and S. M. Girvin, Phys. Rev. B 65, 224412 (2002).
24. C. Nayak and K. Shtengel, Phys. Rev. B 64, 064422 (2001).
25. L. B. loffe, M. V. Feigel'man, A. Ioselevich, D. Ivanov, M. Troyer, and G. Blatter, Nature (London) 415, 503 (2002).
26. T. Senthil and Matthew P. A. Fisher, Phys. Rev. Lett. 86, 292 (2001).
27. D. A. Bonn, Janice C. Wynn, Brian W. Gardner, Yu-Ju Lin, Ruixing Liang, W. N. Hardy, J. R. Kirtley, and K. A. Moler, Nature (London) 414, 887 (2001).
28. J. C. Wynn, D. A. Bonn, B. W. Gardner, Yu-Ju Lin, Ruixing Liang, W. N. Hardy, J. R. Kirtley, and K. A. Moler, Phys. Rev. Lett. 87, 197002 (2001).
29. E. Fradkin and S. H. Shenker, Phys. Rev. D 19, 3682 (1979).
30. Our approach is an adaptation of that used in Ref. 24 to analyze gauge theories at large Higgs coupling.
31. ij living on the comer and bond-centered sites of a cubic lattice, with the classical energy It is remarkable that this simple XY-like model has two magnetically disordered phases, one of which is topologically ordered. In the main text, we have chosen to simulate a somewhat more complicated looking action (10) so as not to divert the reader's attention from the quantum Hamiltonian equation (1).
32. M. Cha, M. P. A. Fisher, S. M. Girvin, M. Wallin, and A. P. Young, Phys. Rev. B 44, 6883 (1991); Y. H. Li and S. Teitel, ibid. 40, 9122 (1989).
33. M. Cha, M. P. A. Fisher, S. M. Girvin, M. Wallin, and A. P. Young, Phys. Rev. B 44, 6883 (1991); Y. H. Li and S. Teitel, ibid. 40, 9122 (1989).
34. R. D. Sedgewick, D. J. Scalapino, and R. L. Sugar, Phys. Rev. B 65, 054 508 (2002).
35. E. Demler, C. Nayak, H.-Y. Kee, Y. B. Kim, and T. Senthil, Phys. Rev. B 65, 155103 (2002).
36. S. Sachdev and K. Park, Ann. Phys. (N.Y.) 298, 58 (2002).
37. K. Park and S. Sachdev, Phys. Rev. B 65, 220405 (2002).
38. A. Kitaev, quant-ph/9707021 (unpublished).