Density of the Fisher zeroes for the Ising model

Journal of Statistical Physics

Volumn 102, Issue 3-4, 2001, Pages 953-970

  Lu, Wentao T ^a   Wu, F Y ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Density; Fisher zeroes; Ising model; Partition function

Indexed keywords

EID: 0035534206     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004863322373     Document Type: Article

References (21)

1. C. N. Yang and T. D. Lee, Statistical theory of equations of states and phase transitions I. Theory of condensation, Phys. Rev. 87:404-409 (1952).
2. T. D. Lee and C. N. Yang, Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model, Phys. Rev. 87:410-419 (1952).
3. M. F., Fisher, The Nature of critical points, in Lecture Notes in Theoretical Physics, Vol. 7c, W. E. Brittin, ed. (University of Colorado Press, Boulder, 1965), pp. 1-159.
4. J. Stephenson and R. Couzens, Partition function zeros for the two-dimensional Ising model, Physica A 129:201-210 (1984).
5. W. T. Lu and F. Y. Wu, Partition function zeroes of a sell-dual Ising model, Physica A 258:157-170 (1998).
6. J. Stephenson, Partition function zeros for the two-dimensional Ising model. II, Physica A 136:147-159 (1986).
7. J. Stephenson, On the density of partition function zeros, J. Phys. A 20:4513-4519 (1987).
8. H. J. Brascamp and H. Kunz, Zeroes of the partition function for the Ising model in the complex temperature plane, J. Math. Phys. 15:65-66 (1974).
9. C. N. Chen, C. K. Hu, and F. Y. Wu, Partition function zeros of the square lattice Potts model, Phys. Rev. Lett. 76:169-172 (1996).
10. R. M. F. Houtappel, Order disorder in hexagonal lattice, Physica 16:425-455 (1950).
11. G. H. Wannier, Antiferromagnetism: The triangular Ising Net, Phys. Rev. 79:357-364 (1950).
12. V. Matveev and R. Shrock, Complex-temperature properties of the 2D Ising model for nonzero magnetic field, Phys. Rev. E 53:254-267 (1996).
13. B. M. McCoy and T. T. Wu, Theory of Toeplitz determinants and the spin correlations of the two-dimensional Ising model. II, Phys. Rev. 155:438-452 (1967).
14. K. Y. Lin and F. Y. Wu, Ising model in the magnetic field iπk T/2, Int. J. Mod. Phys. B 4:471-481 (1988).
15. F. Y. Wu, Two-dimensional Ising model with crossing and four-spin interactions and a magnetic field iπk T/2, J. Stat. Phys. 44:455-463 (1986).
16. V. Matveev and R. Shrock, Complex temperature properties of the 2D Ising model with βH = iπ/2, J. Phys. A 28:4859-4882 (1995).
17. C. Fan and F. Y. Wu, General lattice model of phase transitions, Phys. Rev. B 2:723-733 (1970).
18. C. S. Hsue, K. Y. Lin, and F. Y. Wu, Staggered eight-vertex model, Phys. Rev. B 12:429-437 (1975).
19. F. Y. Wu and Y. K. Wang, Duality transformation in a many component spin model. J. Math. Phys. 17:439-440 (1976).
20. I. Syozi, Transformation of Ising Models, in Phase Transition and Critical Phenomena. Vol. 1, C. Domb and M. Green, eds. (Academic Press, London, 1970), pp. 269-329.
21. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals. Series and Products, 5th ed. (Academic Press, New York, 1944).