Some formal results for the valence bond basis

Nuclear Physics B

Volumn 750, Issue 3, 2006, Pages 142-178

  Beach, K S D ^a   Sandvik, Anders W ^a  

^a Boston University   (United States)

Author keywords

Heisenberg model; Quantum spin systems; Valence bonds

Indexed keywords

EID: 33745982919     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.05.032     Document Type: Article

References (45)

1. Rumer G. Gottingen Nachr. Tech. 1932 (1932) 377
2. Pauling L. J. Chem. Phys. 280 (1933) 1
3. Hulthén L. Arkiv Mat. Astron. Fys. A 26 11 (1938)
4. Bethe H. Z. Phys. 71 (1931) 205
5. Majumdar C.K., and Ghosh D.K. J. Math. Phys. 10 (1969) 1388
6. Fazekas P., and Anderson P.W. Philos. Mag. 30 (1974) 23
7. Anderson P.W. Science 235 (1987) 1196
8. Anderson P.W., Baskaran G., Zou Z., and Hsu T. Phys. Rev. Lett. 58 (1987) 2790
9. Liang S., Doucot B., and Anderson P.W. Phys. Rev. Lett. 61 (1988) 365
10. Kohmoto M. Phys. Rev. B 37 (1988) 3812
11. Havilio M., and Auerbach A. Phys. Rev. Lett. 83 (1999) 4848
12. Havilio M., and Auerbach A. Phys. Rev. B 62 (2000) 324
13. Lou J., and Sandvik A.W. cond-mat/0605034
14. Poilblanc D. Phys. Rev. B 39 (1989) 140
15. Gros C. Phys. Rev. B 38 (1988) 931
16. Capriotti L., Becca F., Parola A., and Sorella S. Phys. Rev. Lett. 87 (2001) 097201
17. Lin H.Q. Phys. Rev. B 42 (1990) 6561
18. Ramasesha S., and Das K. Phys. Rev. B 42 (1990) 10682
19. Balint-Kurti G.G., and Karplus M. J. Chem. Phys. 50 (1969) 478
20. Soos Z.G., and Ramasesha S. In: Klein D.J., and Trinajstic N. (Eds). Valence Bond Theory and Chemical Structure (1990), Elsevier, New York
21. Figueirido F., et al. Phys. Rev. B 41 (1989) 4619
22. Bose I., and Mitra P. Phys. Rev. B 44 (1991) 443
23. Havilio M. Phys. Rev. B 54 (1996) 11929
24. Read N., and Sachdev S. Phys. Rev. Lett. 62 (1989) 1694
25. Read N., and Sachdev S. Phys. Rev. B 42 (1990) 4568
26. Kivelson S.A., Rokhsar D.S., and Sethna J.P. Phys. Rev. B 35 (1987) 8865
27. Sondhi S.L., et al. Rev. Mod. Phys. 69 (1997) 315
28. Sachdev S. Rev. Mod. Phys. 75 (2003) 913
29. Vishwanath A., Balents L., and Senthil T. Phys. Rev. B 69 (2004) 224416
30. Senthil T., et al. Science 303 (2004) 1490
31. Liang S. Phys. Rev. Lett. 42 (1990) 6555
32. Santoro G., Sorella S., Guidoni L., Parola A., and Tosatti E. Phys. Rev. Lett. 83 (1999) 3065
33. Sandvik A.W. Phys. Rev. Lett. 95 (2005) 207203
34. Syljuåsen O.F., et al. Phys. Rev. E 66 (2002) 046701
35. Evertz H.G. Adv. Phys. 52 (2003) 1
36. Rokhsar D.S., and Kivelson S.A. Phys. Rev. Lett. 61 (1988) 2376
37. Sutherland B. Phys. Rev. B 37 (1988) 3786
38. Sachdev S., and Bhatt R.N. Phys. Rev. B 41 (1990) 9323
39. Nussinov Z., Batista C.D., Normand B., and Trugman S.A. cond-mat/0602528
40. Raman K.S., Moessner R., and Sondhi S.L. Phys. Rev. B 72 (2005) 064413
41. Marshall W. Proc. R. Soc. London A 232 (1955) 48
42. Sutherland B. Phys. Rev. B 38 (1988) 7192
43. Kohmoto M., and Shapir Y. Phys. Rev. B 37 (1988) 9439
44. Binder K. Z. Phys. B 43 (1981) 119
45. Sandvik A.W., Singh R.R.P., and Campbell D.K. Phys. Rev. B 56 (1997) 14510