Journal of Physics C Solid State Physics

A free-fermion model, and the solution of an Ising model with pure triplet interactions

David W. Wood

Published Mar 28, 1973• 7 citations

Abstract

A vertex model problem on the honeycomb lattice is reduced to an eight-vertex model problem which satisfies the free-fermion condition. An Ising model in which only triplet coupling terms are present on a decorated version of the triangular lattice is equivalent to this free-fermion model, thus providing an example of a pure three-spin interaction which has the conventional Ising-like logarithmic singularity in the specific heat, independently of the values of the coupling constants.

DOI: 10.1088/0022-3719/6/6/005

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