Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Phys. Rev. ST AB Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article:

Phys. Rev. B 36, 8642–8648 (1987)

[Issue 16 – 1 December 1987 ]

[ Previous article | Next article | Issue 16 contents ]

Competing bilinear and biquadratic exchange couplings in spin-1 Heisenberg chains

J. Sólyom

Institut-Laue-Langevin, 156X, F-38042 Grenoble Cédex, France

A spin-1 magnetic chain with bilinear and biquadratic exchange couplings is studied to determine its phase diagram. The character of the ground state and its degeneracy is determined from an analysis of the low-lying levels of finite chains and from the instability of the uniform lattice against dimerization. Evidence for a ferromagnetic phase, two antiferromagnetic phases (with doubled and tripled periods), and a singlet phase is found.

©1987 The American Physical Society

URL: http://link.aps.org/abstract/PRB/v36/p8642
DOI: 10.1103/PhysRevB.36.8642
PACS: 75.10.Jm

[ Previous article | Next article | Issue 16 contents ]

References

1. H. H. Chen and P. M. Levy, Phys. Rev. B 7, 4267 (1973).
2. E. L. Nagaev, Usp. Fiz. Nauk. 25, 61 (1982) [Sov. Phys.—Usp. 25, 31 (1982)] [ SPIN].
3. B. Sutherland, Phys. Rev. B 12, 3795 (1975).
4. L. A. Takhtajan, Phys. Lett. 87A, 479 (1982).
5. H. M. Babujian, Phys. Lett. 90A, 479 (1982) [SPIRES].
6. F. D. M. Haldane, J. Phys. C 15, L1309 (1982) [ INSPEC].
7. F. D. M. Haldane, Bull. Am. Phys. Soc. 27, 181 (1982); Phys. Rev. Lett. 50, 1153 (1983) [SPIRES]; Phys. Lett. 93A, 464 (1983) [CAS][SPIRES].
8. R. Botet and R. Jullien, Phys. Rev. B 27, 613 (1983); M. Kolb, R. Botet and R. Jullien, J. Phys. A 16, L673 (1983) [ADS][ INSPEC].
9. U. Glaus and T. Schneider, Phys. Rev. B 30, 215 (1984).
10. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. B 33, 659 (1986).
11. J. C. Bonner and G. Müller, Phys. Rev. B 29, 5216 (1984).
12. J. Sólyom and T. A. L. Ziman, Phys. Rev. B 30, 3980 (1984).
13. F. Woynarovich and H. P. Eckle, J. Phys. A 20, L97 (1987) [ADS][ INSPEC].
14. I. Affleck, Nucl. Phys. B265, [FS15], 409 (1986).
15. D. Kung (unpublished).
16. J. Oitmaa, J. B. Parkinson and J. C. Bonner, J. Phys. C 19, L595 (1986) [ INSPEC].
17. N. Papanicolaou and G. C. Psaltakis, Phys. Rev. B 35, 342 (1987).
18. For a review see J. W. Bray, L. V. Interrante, I. S. Jacobs, and J. C. Bonner, in Extended Linear Chain Compounds, edited by J. S. Miller (Plenum, New York, 1983), Vol. III, p. 353.
19. M. C. Cross and D. S. Fisher, Phys. Rev. B 19, 402 (1979).
20. W. Duffy Jr. and K. P. Barr, Phys. Rev. 165, 647 (1968).
21. J. C. Bonner and H. W. J. Blöte, Phys. Rev. B 25, 6959 (1982).
22. G. Spronken, B. Fourcade and Y. Lépine, Phys. Rev. B 33, 1886 (1986).
23. J. Sólyom, Phys. Rev. B (to be published).

[ Previous article | Next article | Issue 16 contents ]