Phase transitions in antiferromagnetic quantum spin chains with bond alternation

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 6, 1997, Pages 3603-3612

  Yamamoto, Shoji ^a  

^a OKAYAMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001439199     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.3603     Document Type: Article

References (49)

1. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983); Phys. Rev. Lett. 50, 1153 (1983).
2. R. Botet and R. Julien, Phys. Rev. B 27, 613 (1983).
3. R. Botet, R. Julien and M. Kolb, Phys. Rev. Bibid. 28, 3914 (1983).
4. S. Liang, Phys. Rev. Lett. 64, 1597 (1990).
5. S. R. White and D. A. Huse, Phys. Rev. B 48, 3844 (1993).
6. E. S. Sørensen and I. Affleck, Phys. Rev. Lett. 71, 1633 (1993).
7. O. Golinelli, Th. Jolicœur and R. Lacaze, Phys. Rev. B 50, 3037 (1994).
8. N. Hatano and M. Suzuki, J. Phys. Soc. Jpn. 62, 1346 (1993).
9. S. V. Meshkov, Phys. Rev. B 48, 6167 (1993).
10. J. Deisz, M. Jarrell and D. L. Cox, Phys. Rev. B 48, 10227 (1993).
11. Y. Nishiyama, K. Totsuka, N. Hatano and M. Suzuki, J. Phys. Soc. Jpn. 64, 414 (1995).
12. G. Sun, Phys. Rev. B 51, 8370 (1995).
13. U. Schollwöck and Th. Jolicœur, Europhys. Lett. 30, 493 (1995).
14. S. Yamamoto, Phys. Rev. Lett. 75, 3348 (1995).
15. S. Yamamoto, Phys. Rev. Lett. 77, 2845 (1996).
16. U. Schollwöck and Th. Jolicœur, Phys. Rev. Lett.ibid. 77, 2844 (1996).
17. S. Yamamoto, Phys. Lett. A 213, 102 (1996).
18. S. Yamamoto, Phys. Rev. B 51, 16t128 (1995).
19. S. Yamamoto, Phys. Rev. B 52, 10t170 (1995).
20. K. Totsuka and M. Suzuki, J. Phys. Condens. Matter 7, 1639 (1995).
21. M. Yajima and M. Takahashi, J. Phys. Soc. Jpn. 65, 39 (1996).
22. M. Yamanaka, M. Oshikawa and S. Miyashita, J. Phys. Soc. Jpn. 65, 1562 (1996).
23. I. Affleck, Nucl. Phys. B257, 397 (1985).
24. I. Affleck, Nucl. Phys. B265, 409 (1986).
25. I. Affleck, in Fields, Strings and Critical Phenomena, Proceedings of the Les Houches School of Thoeretical Physics, Session XLIX, Haute-Savoie, 1988, edited by E. Brézin and J. Zinn-Justin (Elsevier, New York, 1989), p. 563.
26. R. R. P. Singh and M. P. Gelfand, Phys. Rev. Lett. 61, 2133 (1988).
27. Y. Kato and A. Tanaka, J. Phys. Soc. Jpn. 63, 1277 (1994).
28. S. Yamamoto, J. Phys. Soc. Jpn. 63, 4327 (1994).
29. K. Totsuka, Y. Nishiyama, N. Hatano and M. Suzuki, J. Phys. Condens. Matter 7, 4895 (1995).
30. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987).
31. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki, Commun. Math. Phys. 115, 477 (1988).
32. M. Oshikawa, J. Phys. Condens. Matter 4, 7469 (1992).
33. J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
34. H. J. Schulz, Phys. Rev. B 34, 6372 (1986).
35. I. Affleck and F. D. M. Haldane, Phys. Rev. B 36, 5291 (1987).
36. A. Klümper, A. Schadschneider and J. Zittartz, J. Phys. A 24, L955 (1991).
37. A. Klümper, A. Schadschneider and J. Zittartz, Z. Phys. B 87, 281 (1992).
38. K. Totsuka and M. Suzuki, J. Phys. A 27, 6443 (1994).
39. W.-D. Freitag and E. Müller-Hartmann, Z. Phys. B 83, 381 (1991).
40. S. M. Girvin and D. P. Arovas, Phys. Scr. T27, 156 (1989).
41. S. Yamamoto and S. Miyashita, Phys. Rev. B 48, 9528 (1993).
42. U. Schollwöck, Th. Jolicœur and T. Garel, Phys. Rev. B 53, 3304 (1996).
43. M. den Nijs and K. Rommelse, Phys. Rev. B 40, 4709 (1989).
44. J. E. Hirsch, R. L. Sugar, D. J. Scalapino and R. Blankenbecler, Phys. Rev. B 26, 5033 (1982).
45. M. Suzuki, Prog. Theor. Phys. 56, 1454 (1976).
46. S. Yamamoto, Phys. Rev. B 53, 3364 (1996).
47. T. Kennedy and H. Tasaki, Phys. Rev. B 45, 304 (1992).
48. T. A. L. Ziman and H. J. Schulz, Phys. Rev. Lett. 59, 140 (1987).
49. K. Hallberg, X. Q. G. Wang, P. Horsch and A. Moreo, Phys. Rev. Lett. 76, 4955 (1996).