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VOLUME 63 (1996) | ISSUE 4 | PAGE 270
A spin-3/2 Ising model on a square lattice
The spin-3/2 Ising model described by the most general Hamilton!an with an up-down symmetry Eq.(2) is investigated on a square lattice. It is shown that this model is reducible to an eight vertex model on a surface in the parameter space spanned by coupling constants Jt Kt L and Μ. It is shown that this model is equivalent to an exactly solvable free fermion model along two lines in the parameter space. Consequently, the critical behaviour and, in particular, the critical temperature for the second-order phase transitions of the model was found exactly. PACS 05.50+q, 75.10.Hk, 75.40.Cx.