Abstract
A model with coupling between the orientation of molecule and the interlayer spacing is introduced to investigate a mechanism of the first order phase transition found in a certain antiferroelectric liquid crystal. By the decimation transformation, the model is reduced to an Ising model of S =1 with biquadratic exchange interaction and zero field splitting, in which the first order phase transition is shown to occur for the case of reasonable values of parameters appearing in the model.
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