Cluster variation method and disorder varieties of two-dimensional Ising-like models

Details Cluster variation method and disorder varieties of two-dimensional Ising-like models Cluster variation method and disorder varieties of two-dimensional Ising-like models

1999-09-24

arxiv.org/abs/cond-mat/9909361v2

Phys. Rev. B 61, 11510 (2000)

Physics

Condensed Matter

Statistical Mechanics

10 revtex pages, 1 postscript figure

Scientific paper

10.1103/PhysRevB.61.11510

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.

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