Long-range order in the ground state of the S = 1 isotropic bilinear-biquadratic exchange Hamiltonian

Journal of Physics A: Mathematical and General

Volumn 34, Issue 42, 2001, Pages 8767-8780

  Tanaka, Kengo ^a   Tanaka, Akinori ^a   Idogaki, Toshihiro ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035955594     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/42/304     Document Type: Article

References (37)

1. Settai R, Araki S, Ahmet P, Abliz M, Sugiyama K, Onuki Y, Goto T, Mitamura H, Goto T and Takayanagi S 1998 J. Phys. Soc. Japan 67 636
2. Morin P 1988 J. Magn. Magn. Mater. 71 151
3. Ohkawa F J 1983 J. Phys. Soc. Japan 52 3897
4. Shina R, Shiba H and Thalmeier P 1997 J. Phys. Soc. Japan 66 1741
5. Morin P, Schmitt D and du Tremolet de Lacheisserie E 1982 J. Magn. Magn. Mater. 30 257
6. Teitelbaum H H and Levy P M 1976 Phys. Rev. B 14 3058
7. Ghering G A and Ghering K A 1975 Rep. Prag. Phys. 38 1
8. Dudziński M, F́ath G and Sznajd J 1999 Phys. Rev. B 59 13 764
9. Fáth G and Sólyom J 1993 Phys. Rev. B 47 872
10. Itoi C and Kato M-H 1997 Phys. Rev. B 55 8295
11. Millet P, Mila F, Zhang F C, Mambrini M, Van Oosten A B, Pashchenko V A, Sulpice A and Stepanov A 1999 Phys. Rev. Lett. 83 4176
12. Mila F and Zhang F-C 2000 Eur. Phys. J. B 16 7
13. Aksamit J 1980 J. Phys. C: Solid State Phys. 13 L871
14. Chen H H and Levy P M 1973 Phys. Rev. B 7 4267
15. Micnas R 1976 J. Phys. C: Solid State Phys. 9 3307
16. Matveev V M 1974 Sov. Phys.-JETP 38 813
17. Matveev V M 1974 Sov. Phys.-Solid State 16 1067
18. Chen H H and Levy P M 1973 Phys. Rev. B 7 4284
19. Nagaev É L 1982 Sov. Phys.-Usp. 25 31
20. Papanicolaou N 1988 Nucl. Phys. B 305 367
21. Harada K and Kawashima N 2001 J. Phys. Soc. Japan 70 13
22. Munro R G 1976 Phys. Rev. B 13 4875
23. Parkinson J B 1979 J. Phys. C: Solid State Phys. 10 1735
24. Tanaka A and Idogaki T 1997 Phys. Rev. B 56 10774
25. Dyson F J, Lieb E H and Simon B 1978 J. Stat. Phys. 18 335
26. Jordão Neves E and Fernando Perez J 1986 Phys. Lett. A 114 331
27. Affleck I, Kennedy T, Lieb E H and Tasaki H 1988 Commun. Math. Phys. 115 477
28. Kennedy T, Lieb E H and Shastry S 1988 J. Stat. Phys. 53 1019
29. Angelescu N and Zagrebnov V A 1982 J. Phys. A: Math. Gen. 15 L639
30. Angelescu N, Romano S and Zagrebnov V A 1995 Phys. Lett. A 200 443
31. Zagrebnov V A 1996 Physica A 232 737
32. Tanaka A and Idogaki T 1998 J. Phys. Soc. Japan 67 604
33. Campbell M and Chayes L 1999 J. Phys. A: Math. Gen. 32 8881
34. Lindgård P A and Danielsen O 1974 J. Phys. C: Solid State Phys. 7 1523
35. Kaplan T A, Horsch P and von der Linden W 1989 J. Phys. Soc. Japan 58 3894
36. Koma T and Tasaki H 1993 Commun. Math. Phys. 158 191
37. Koma T and Tasaki H 1994 J. Stat. Phys. 76 745