Variational and density-matrix renormalization-group studies of the frustrated antiferromagnetic Heisenberg S=1 quantum spin chain

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 14, 1997, Pages 8928-8939

  Kolezhuk, A ^a   Roth, R ^b   Schollwock U ^b  

^a INSTITUTE OF MAGNETISM   (Ukraine)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001092374     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.8928     Document Type: Article

References (54)

1. See, for example, Magnetic Systems with Competing Interactions (Frustrated Spin Systems), edited by H.T. Diep (World Scientific, Singapore, 1994).
2. M. Inui, S. Doniach and M. Gabay, Phys. Rev. B 38, 6631 (1988).
3. G. Castilla, S. Chakravarty and V. J. Emery, Phys. Rev. Lett. 75, 1823 (1995).
4. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
5. S.R. White, Phys. Rev. Lett. 69, 2863 (1992).
6. S.R. White and D.A. Huse, Phys. Rev. B 48, 3844 (1993).
7. O. Golinelli, Th. Jolicœur and R. Lacaze, Phys. Rev. B 50, 3037 (1994).
8. F.D.M. Haldane, Phys. Lett. 93A, 464 (1983).
9. F.D.M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
10. S.R. White and I. Affleck, Phys. Rev. B 54, 9862 (1996).
11. T. Tonegawa, M. Kaburagai, N. Ichikawa and I. Harada, J. Phys. Soc. Jpn. 61, 2890 (1992).
12. I. Harada, M. Fujikawa and I. Mannari, J. Phys. Soc. Jpn. 62, 3694 (1993).
13. S. Rao and D. Sen, Nucl. Phys. B424, 547 (1994).
14. D. Allen and D. Sénéchal, Phys. Rev. B 51, 6394 (1995).
15. S. Pati, R. Chitra, D. Sen, S. Ramasesha, and H.R. Krishnamurty (unpublished).
16. S. Pati, R. Chitra, D. Sen, H.R. Krishnamurty and S. Ramasesha, Europhys. Lett. 33, 707 (1996).
17. A. Kolezhuk, R. Roth and U. Schollwöck, Phys. Rev. Lett. 77, 5142 (1996).
18. I. Affleck, T. Kennedy, E.H. Lieb and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987).
19. I. Affleck, T. Kennedy, E.H. Lieb and H. Tasaki, Commun. Math. Phys. 115, 477 (1988).
20. G. Fáth and J. Sólyom, J. Phys.: Condens. Matter 5, 8983 (1993).
21. U. Neugebauer and H.-J. Mikeska, Z. Phys. B 99, 151 (1996).
22. S.R. White, Phys. Rev. B 48, 10 345 (1993).
23. U. Schollwöck (unpublished).
24. J. Stephenson, Can. J. Phys. 47, 2621 (1969).
25. J. Stephenson, Can. J. Phys. 48, 1724 (1970).
26. J. Stephenson, Can. J. Phys. 48, 2118 (1970).
27. J. Stephenson, J. Math. Phys. 12, 420 (1970).
28. M. den Nijs and K.R. Rommelse, Phys. Rev. B 40, 4709 (1989).
29. T. Kennedy and H. Tasaki, Phys. Rev. B 45, 304 (1992).
30. S.M. Girvin and D.P. Arovas, Phys. Scr. T 27, 156 (1989).
31. T. Kennedy, J. Phys. Condens. Matter 2, 5737 (1990).
32. U. Schollwöck, Th. Jolicœ ur and Th. Garel, Phys. Rev. B 53, 3304 (1996).
33. Th. Garel and J.M. Maillard, J. Phys. C 19, L505 (1986).
34. S. Chakravarty, B.I. Halperin and D.R. Nelson, Phys. Rev. Lett. 60, 1057 (1988).
35. S. Yamamoto (private communication).
36. B. Sutherland, Phys. Rev. B 12, 3795 (1975).
37. G. Fáth and J. Sólyom, Phys. Rev. B 47, 872 (1993).
38. H.-J.Mikeska, Europhys. Lett. 19, 39 (1992).
39. G. Gomez-Santos, Phys. Rev. Lett. 63, 790 (1989).
40. H.-J. Mikeska, Chaos, Solitons, Fractals 5, 2585 (1995).
41. B. S. Shastry and B. Sutherland, Phys. Rev. Lett. 47, 964 (1981).
42. A. K. Kolezhuk (unpublished).
43. M. Fannes, B. Nachtergaele and R.F. Werner, Europhys. Lett. 10, 633 (1989).
44. A. Klümper, A. Schadschneider and A. Zittarz, J. Phys. A 24, L955 (1991).
45. A. Klümper, A. Schadschneider and A. Zittarz, Z. Phys. B 87, 281 (1992).
46. A. Klümper, A. Schadschneider and A. Zittarz, Europhys. Lett. 24, 293 (1993).
47. K. Totsuka and M. Suzuki, J. Phys. Condens. Matter 7, 1639 (1995).
48. D.P. Arovas, A. Auerbach and F.D.M. Haldane, Phys. Rev. Lett. 60, 531 (1988).
49. S.R. White (private communication).
50. U. Schollwöck and D.Y.K. Ko, Phys. Rev. B 53, 240 (1996).
51. Y. Kato and A. Tanaka, J. Phys. Soc. Jpn. 63, 1277 (1994).
52. K. Totsuka, Y. Nishiyama, N. Hatano and M. Suzuki, J. Phys. Condens. Matter 7, 4895 (1995).
53. S. Yamamoto, Phys. Rev. B 51, 16 128 (1995).
54. S. Yamamoto, Phys. Rev. B 52, 10 170 (1995).