Nonlocal topological order in antiferromagnetic Heisenberg chains

Physical Review Letters

Volumn 90, Issue 6, 2003, Pages

  Qin, Shaojin ^a,b   Lou, Jizhong ^c   Sun, Liqun ^a   Chen, Changfeng ^c  

^a Institute of Theoret Physics   (China)

^b KYUSHU UNIVERSITY   (Japan)

^c UNIVERSITY OF NEVADA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; CONFORMAL MAPPING; CURVE FITTING; ENERGY GAP; GRAPH THEORY; GROUND STATE; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS;

ANTIFERROMAGNETIC HEISENBERG CHAIN; DENSITY MATRIX RENORMALIZATION GROUP; FRACTIONAL QUANTUM HALL EFFECT; QUANTUM SPIN CHAIN;

QUANTUM THEORY;

EID: 0037435821     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. H. A. Bethe, Z. Phys. 71, 205 (1931).
2. C. N. Yang and C. P. Yang, J. Math. Phys. (N.Y.) 10, 1115 (1969).
3. A. Luther and I. Peschel, Phys. Rev. B 12, 3908 (1975).
4. I. Affleck, Phys. Rev. Lett. 54, 966 (1985).
5. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983).
6. Phys. Rev. Lett. 50, 1153 (1983).
7. For a review, see I. Affleck, in Fields, Strings and Critical Phenomena, edited by E. Brezin and J. Zinn-Justin (North-Holland, Amsterdam, 1989), p. 511.
8. E. Lieb et al., Ann. Phys. (N.Y.) 16, 407 (1961).
9. I. Affleck and E. Lieb, Lett. Math. Phys. 12, 57 (1986).
10. K. Hallberg et al., Phys. Rev. Lett. 76, 495 (1996).
11. S. R. White and D. A. Huse, Phys. Rev. B 48, 3844 (1993).
12. U. Schollwöck and Th. Jolicoeur, Europhys. Lett. 30, 493 (1995).
13. U. Schollwöck et al., Phys. Rev. B 54, 4038 (1996).
14. S. Qin et al., Phys. Rev. B 55, 2721 (1997).
15. S. Qin et al., Phys. Rev. B 56, R14 251 (1997).
16. I. Affleck et al., Phys. Rev. Lett. 59, 799 (1987).
17. Commun. Math. Phys. 115, 477 (1988).
18. M. P. M. de Nijs and K. Rommelse, Phys. Rev. B 40, 4709 (1989).
19. S. M. Girvin and D. P. Arovas, Phys. Scr. T27, 156 (1989).
20. N. Elstner and H. J. Mikeska, Phys. Rev. B 50, 3907 (1994).
21. T. Kennedy and H. Tasaki, Phys. Rev. B 45, 304 (1992).
22. Commun. Math. Phys. 147, 431 (1992).
23. T. Kennedy, J. Phys. Condens. Matter 2, 5737 (1990).
24. M. Oshikawa, J. Phys. Condens. Matter 4, 7469 (1992).
25. K. Totsuka and M. Suzuki, J. Phys. Condens. Matter 7, 1639 (1995).
26. J. Lou et al., Phys. Rev. B 65, 104401 (2002).
27. S. M. Girvin and A. H. MacDonald, Phys. Rev. Lett. 58, 1252 (1987).
28. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
29. E. H. Rezayi and F. D. M. Haldane, Phys. Rev. Lett. 61, 1985 (1988).
30. N. Read, Phys. Rev. Lett. 62, 86 (1989).
31. T. K. Ng, Phys. Rev. B 50, 555 (1994).
32. J. Lou et al., Phys. Rev. B 62, 8600 (2000).
33. K. Hida, Phys. Rev. B 45, 2207 (1992).
34. S. Qin et al. (unpublished).
35. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
36. Phys. Rev. B 48, 10 345 (1993).
37. S. Qin et al., Phys. Rev. B 52, 12 844 (1995).
38. M. Yamanaka et al., J. Phys. Soc. Jpn. 65, 1562 (1996).
39. Y. Hatsugai, J. Phys. Soc. Jpn. 61, 3856 (1992).
40. Y. Nishiyama et al., J. Phys. Soc. Jpn. 64, 414 (1995).
41. R. Roth and U. Schollwöck, Phys. Rev. B 58, 9264 (1998).
42. H. Aschauer and U. Schollwöck, Phys. Rev. B 58, 359 (1998).