Critical Behavior of Hydrogen-Bonded Ferroelectrics

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Abstract
The Slater KDP (potassium dihydrogen phosphate) model of hydrogen-bonded ferro-electrics is generalized by relaxing the ice condition. For a class of realistic choices of energy parameters, it is shown that this model is equivalent to an Ising model and consequently exhibits an Ising-type transition. Our result suggests that the singularity in the specific heat of an Ising model can be asymmetric if crossing interactions are included. It also suggests that experiments on the hydrogen-bonded ferroelectrics may yield information on the critical behavior of the three-dimensional Ising model.