Exact solutions for correlations in the kagomé Ising antiferromagnet

International Journal of Modern Physics B

Volumn 11, Issue 1-2, 1997, Pages 93-101

  Barry, J H ^a   Khatun, M ^b  

^a University of Florida   (United States)

^b BALL STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2542536279     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217979297000113     Document Type: Article

References (12)

1. See, for example, Magnetic Systems with Competing Interactions (Frustrated Spin Systems), ed. H. T. Diep (World Scientific Publ. Co., 1994).
2. G. Toulouse, Commun. Phys. 2, 1151 (1977).
3. J. Villain, J. Phys. C10, 1717 (1977).
4. P. W. Anderson, Science 235, 1196 (1987).
5. For discussions on frustrated Ising models, see, in addition to reference 1, R. Liebmann, Statistical Mechanics of Periodic Frustrated Ising Systems, Lecture Notes in Physics, vol. 25 (Springer-Verlag, 1986); for investigations upon classical n-component vector spin antiferromagnets on the kagomé lattice, see, e.g., D. A. Huse and A. D. Ruttenberg, Phys, Rev. B45, 7536 (1992).
6. For discussions on frustrated Ising models, see, in addition to reference 1, R. Liebmann, Statistical Mechanics of Periodic Frustrated Ising Systems, Lecture Notes in Physics, vol. 25 (Springer-Verlag, 1986); for investigations upon classical n-component vector spin antiferromagnets on the kagomé lattice, see, e.g., D. A. Huse and A. D. Ruttenberg, Phys, Rev. B45, 7536 (1992).
7. K. Kano and S. Naya, Prog. Theor. Phys. 10, 158 (1953).
8. A. Süto, Z. Phys. B-Condensed Matter, 44, 121 (1981); Helv. Phys. Acta 54, 191, 201 (1981).
9. A. Süto, Z. Phys. B-Condensed Matter, 44, 121 (1981); Helv. Phys. Acta 54, 191, 201 (1981).
10. J. H. Barry, M. Khatun and T. Tanaka, Phys. Rev. B37, 5193 (1988); for exact solutions of planar Ising odd-number correlations, see J. H. Barry, T. Tanaka, M. Khatun and C. H. Múnera, Phys. Rev. B44, 2595 (1991), and references cited therein.
11. J. H. Barry, M. Khatun and T. Tanaka, Phys. Rev. B37, 5193 (1988); for exact solutions of planar Ising odd-number correlations, see J. H. Barry, T. Tanaka, M. Khatun and C. H. Múnera, Phys. Rev. B44, 2595 (1991), and references cited therein.
12. J. Stephenson, J. Math. Phys. 5, 1009 (1964).