A Soluble Free-Fermion Model in d Dimensions

Details A Soluble Free-Fermion Model in d Dimensions A Soluble Free-Fermion Model in d Dimensions

1994-12-05

arxiv.org/abs/cond-mat/9412022v2

Physical Review E 51, 889-895 (1995)

Physics

Condensed Matter

19 pages, REVTEX, 6 figures

Scientific paper

10.1103/PhysRevE.51.889

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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