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Calculation of the Parameters for the Vertex Model of Squaric Acid

The antiferroelectric phase transition occurring in Squaric Acid at 100°C is often described by a pseudo-one-dimensional Ising model. We tried to simulate by Monte Carlo calculations simultaneously the well-known temperature dependence of order parameter, specific heat, and dielectric susceptibility both for the Ising model and for a more general 16-vertex model. A satisfying agreement between experimental and calculated results can be reached only for the vertex model. The parameters for the best simulation are presented. It is shown that a three-dimensional interaction is essential for the phase transition.