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physica status solidi (b)

A Cluster Variational Approach to the Two‐Dimensional Ising Model with Alternated Interactions along One Direction

J. R. Faleiro Ferreira

Published Nov 1, 1988• 0 citations
Publisher
DOI
10.1002/pssb.2221500147

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I show that the cluster variation method, long used as a powerful hierarchy of approximations for discrete (Ising-like) two-dimensional lattice models, yields exact results on the disorder varieties which appear when competitive interactions are put into these models. I consider, as an example, the plaquette approximation of the cluster variation method for the square lattice Ising model with nearest-neighbor, next-nearest-neighbor, and plaquette interactions, and, after rederiving known results, report simple closed-form expressions for the pair and plaquette correlation functions.