Soluble free-fermion model inddimensions
Fa Yueh Wu, H. Y. Huang
We consider a vertex model in d dimensions characterized by lines that 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 of -1 is associated with 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.
arXiv:cond-mat/9412022•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Feb 1, 1995•4 citations