Exact Solution of a Three-Dimensional Dimer System
Statistical Mechanics
2009-10-28 v1
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.
Cite
@article{arxiv.cond-mat/9610184,
title = {Exact Solution of a Three-Dimensional Dimer System},
author = {H. Y. Huang and V. Popkov and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/9610184},
year = {2009}
}
Comments
11 pages in REVTex with 2 PS figures