Abstract
A method is developed for making exact evaluations of correlation functions of odd numbers of spins on the Onsager-Ising lattice, applicable to cases in which the separations between the spins are finite. The method is based on an identity which permits the reduction of determinants of infinite-dimensional matrices to those of finite dimension. Particularly simple results are obtained when all spins are on a straight line. Numerical calculations are carried out for a few cases.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch,Phys. Rev. 13:316 (1976).
R. Z. Bariev,Physica 93A:354 (1978), and references given there.
G. A. Baker and J. M. Kincaid,Phys. Rev. Lett. 42:1431 (1979), and references given there.
A. Pink,Can. J. Phys. 46:2399 (1968).
H. Au-Yang,Phys. Rev. B 15:2704 (1977).
D. Fox,Chem. Phys., to appear.
E. W. Montroll, R. B. Potts, and J. C. Ward,J. Math. Phys. 4:308 (1963).
B. M. McCoy, C. A. Tracy, and T. T. Wu,Phys. Rev. Lett. 38:793 (1977).
C. N. Yang,Phys. Rev. 85:808 (1952).
C. H. Chang,Phys. Rev. 88:1422 (1952).
M. E. Fisher,J. Math. Phys. 7:1776 (1966).
P. W. Kasteleyn,J. Math. Phys. 4:287 (1963).
J. Stephenson,J. Math. Phys. 5:1009 (1964).
B. M. McCoy and T. T. Wu,The Two-Dimensional Ising Model (Harvard Univ. Press, Cambridge, Mass., 1973).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chubb, S.R., Fox, D. Correlation functions of odd numbers of spins with finite separations on the Onsager-Ising lattice. J Stat Phys 23, 627–638 (1980). https://doi.org/10.1007/BF01011733
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01011733