Exact Solution of a Three-Dimensional Dimer System

Abstract

We consider a three-dimensional lattice model consisting of layers of vertex models coupled with interlayer interactions. For a particular non-trivial interlayer interaction between charge-conserving vertex models and using a transfer matrix approach, we show that the eigenvalues and eigenvectors of the transfer matrix are related to those of the two-dimensional vertex model. The result is applied to analyze the phase transitions in a realistic three-dimensional dimer system.

11 pages in REVTex with 2 PS figures

References in corpus (1)

• Interacting dimers on the honeycomb lattice: An exact solution of the five-vertex model

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