Exact Solution of a Three-Dimensional Dimer System
arXiv:cond-mat/9610184 · doi:10.1103/PhysRevLett.78.409
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