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A Soluble Free-Fermion Model in d Dimensions

F. Y. Wu·H. Y. Huang
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Abstract

We consider a vertex model in d dimensions characterized by lines which run in a preferred direction. We show that this vertex model is soluble if the weights of vertices with intersecting lines are given by a free-fermion condition, and that a fugacity -1 is associated to each loop of lines. The solution is obtained by mapping the model into a dimer problem and by evaluating a Pfaffian. We also determine the critical point and the singular behavior of the free energy.

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F. Y. Wu, H. Y. Huang. 1994-12-09. A Soluble Free-Fermion Model in d Dimensions. https://doi.org/10.1103/physreve.51.889

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