Ground-state phase diagram of the spin-1/2-1/2-1-1 chain

Journal of the Physical Society of Japan

Volumn 69, Issue 4, 2000, Pages 1207-1218

  Hikihara, Toshiya ^a   Tonegawa, Takashi ^a   Kaburagi, Makoto ^a   Nishino, Tomotoshi ^a   Miyashita, Seiji ^b   Mikeska, Hans Jürgen ^c  

^a KOBE UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

^c LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Density matrix renormalization group method; Ground state phase diagram; Quantum mixed spin 1 2 1 2 1 1 chain; Singlet triplet energy gap; String correlation function; Two spin correlation function; Valence bond solid picture

Indexed keywords

EID: 0034374482     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.69.1207     Document Type: Article

References (32)

1. F. D. M. Haldane: Phys. Lett. 93A (1983) 464; F. D. M. Haldane: Phys. Rev. Lett. 50 (1983) 1153.
2. F. D. M. Haldane: Phys. Lett. 93A (1983) 464; F. D. M. Haldane: Phys. Rev. Lett. 50 (1983) 1153.
3. I. Affleck: Nucl. Phys. B 257 (1985) 397; ibid. 265 (1986) 409; I. Affleck and F. D. M. Haldarie: Phys. Rev. B 36 (1987) 5291.
4. I. Affleck: Nucl. Phys. B 257 (1985) 397; ibid. 265 (1986) 409; I. Affleck and F. D. M. Haldarie: Phys. Rev. B 36 (1987) 5291.
5. I. Affleck: Nucl. Phys. B 257 (1985) 397; ibid. 265 (1986) 409; I. Affleck and F. D. M. Haldarie: Phys. Rev. B 36 (1987) 5291.
6. See, for example, J. W. Bray, L. V. Interrante, I. S. Jacobs and J. C. Bonner: Extended Linear Chain Compounds, ed. J. S. Miller (Plenum, New York, 1982) Vol. 3, p. 353.
7. R. R. P. Singli and M. P. Gelfand: Phys. Rev. Lett. 61 (1988) 2133.
8. Y. Kato and A. Tanaka: J. Phys. Soc. Jpn. 63 (1994) 1277.
9. S. Yamamoto: J. Phys. Soc. Jpn. 63 (1994) 4327.
10. K. Totsuka, Y. Nishiyama, N. Hatano and M. Suzuki: J. Phys.: Condens. Matter 7 (1995) 4895.
11. S. Yamamoto: Phys. Rev. B 55 (1997) 3603.
12. M. Yajima and M. Takahashi: J. Phys. Soc. Jpn. 65 (1996) 39.
13. D. Guo, T. Kennedy and S. Mazumdar: Phys. Rev. B 41 (1990) 9592.
14. M. Yamanaka, M. Oshikawa and S. Miyashita: J. Phys. Soc. Jpn. 65 (1996) 1562.
15. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki: Phys. Rev. Lett. 59 (1987) 799; I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki: Commun. Math. Phys. 115 (1988) 477.
16. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki: Phys. Rev. Lett. 59 (1987) 799; I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki: Commun. Math. Phys. 115 (1988) 477.
17. T. Tonegawa, T. Hikihara, M. Kaburagi, T. Nishino, S. Miyashita and H.-J. Mikeska: J. Phys. Soc. Jpn. 67 (1998) 1000.
18. T. Tonegawa, T. Hikihara, T. Nishino, M. Kaburagi, S. Miyashita and H.-J. Mikeska: Proc. Int. Conf. on Magnetism, Cairns, 1997, J. Magn. Magn. Mater. 177-181 (1998) 647.
19. S. R. White: Phys. Rev. Lett. 69 (1992) 2863.
20. S. R. White: Phys. Rev. B 48 (1993) 10345.
21. E. Lieb and D. Mattis: J. Math. Phys. 3 (1962) 749.
22. See, for example, J. J. Sakurai: Modern Quantum Mechanics (Benjamin/Cummings, Menlo Park, 1985) p. 238.
23. M. den Nijs and K. Rommelse: Phys. Rev. B 40 (1989) 4709.
24. T. Kennedy and H. Tasaki: Phys. Rev. B 45 (1992) 304; T. Kennedy and H. Tasaki: Commun. Math. Phys. 147 (1992) 431.
25. T. Kennedy and H. Tasaki: Phys. Rev. B 45 (1992) 304; T. Kennedy and H. Tasaki: Commun. Math. Phys. 147 (1992) 431.
26. S. R. White: Phys. Rev. Lett. 77 (1996) 3633.
27. T. Kennedy: J. Phys.: Condens. Matter 2 (1990) 5737.
28. 2 is rather large compared with the other.
29. 1 < 0.
30. 4) belongs to the same phase.
31. S. Brehmer, H.-J. Mikeska and U. Neugebauer: J. Phys.: Condens. Matter 8 (1996) 7161.
32. A. K. Kolezhuk and H.-J. Mikeska: Int. J. Mod. Phys. B 12 (1998) 2325.