A Spin - 3/2 Ising Model on a Square Lattice

Abstract

The spin - 3/2 Ising model on a square lattice is investigated. It is shown that this model is reducible to an eight - vertex model on a surface in the parameter space spanned by coupling constants J, K, L and M. It is shown that this model is equivalent to an exactly solvable free fermion model along two lines in the parameter space.

LaTeX, 7 pages, 1 figure upon request; JETP Letters, in press

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