Journal of Physics A Mathematical and General

Exact results for a checkerboard Ising model with crossing and four-spin interactions

Héctor Giacomini

Published Dec 1, 1985• 10 citations

Abstract

A seven-parameter Ising model with crossing and four-spin interactions on a checkerboard lattice is mapped by a duality transformation onto a general eight-vertex model, which has only five independent parameters. In a six-dimensional subspace of the Ising model (for which the corresponding eight-vertex model satisfies the free fermion condition) an exact solution is found.

DOI: 10.1088/0305-4470/18/17/005

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