Lattice Statistics in Three Dimensions: Exact Solution of Layered Dimer and Layered Domain Wall Models
Statistical Mechanics
2009-10-30 v1
Abstract
Exact analyses are given for two three-dimensional lattice systems: A system of close-packed dimers placed in layers of honeycomb lattices and a layered triangular-lattice interacting domain wall model, both with nontrivial interlayer interactions. We show that both models are equivalent to a 5-vertex model on the square lattice with interlayer vertex-vertex interactions. Using the method of Bethe ansatz, a closed-form expression for the free energy is obtained and analyzed. We deduce the exact phase diagram and determine the nature of the phase transitions as a function of the strength of the interlayer interaction.
Keywords
Cite
@article{arxiv.cond-mat/9703065,
title = {Lattice Statistics in Three Dimensions: Exact Solution of Layered Dimer and Layered Domain Wall Models},
author = {V. Popkov and Doochul Kim and H. Y. Huang and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/9703065},
year = {2009}
}
Comments
22 pages in Revtex, 6 PS files, submitted to PRE