Abstract
The spontaneous magnetization of the Ising model on a 4–8 lattice with six different coupling constants and two different magnetic moments is studied. A formula for the spontaneous magnetization is proposed. The result agrees with the exact low-temperature series expansions up to the 12th order.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Onsager,Nuovo Cimento Suppl. 6:261 (1949).
C. N. Yang,Phys. Rev. 85:808 (1952).
C. H. Chang,Phys. Rev. 88:1422 (1952).
I. Syozi and S. Naya,Prog. Theor. Phys. 23:374 (1960).
E. W. Montroll, R. B. Potts, and J. C. Ward,J. Math. Phys. 4:308 (1963).
K. Y. Lin and J. M. Fang,Phys. Lett. A 109:121 (1985).
M. Shinmi and D. A. Huckaby,J. Phys. A 20:L465 (1987).
K. Y. Lin, C. H. Kao, and T. L. Chen,Phys. Lett. A 121:443 (1987).
B. M. McCoy and T. T. Wu,Phys. Rev. 188:982 (1969).
H. Au-Yang and B. M. McCoy,Phys. Rev. B 10:3885 (1974).
C. Domb,Adv. Phys. 9:149 (1960).
K. Y. Lin,Chin. J. Phys., to appear.
T. Utiyama,Prog. Theor. Phys. 6:907 (1951).
S. Naya,Prog. Theor. Phys. 11:53 (1954).
K. Y. Lin and J. L. Chen,J. Phys. A, to appear.
D. A. Huckaby,J. Phys. C 19:5477 (1986).
I. Syozi,Phase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, London, 1972).
F. Y. Wu, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lin, K.Y. Spontaneous magnetization of the Ising model on a 4–8 lattice. J Stat Phys 49, 269–279 (1987). https://doi.org/10.1007/BF01009963
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01009963