Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
Statistical Mechanics
2013-02-07 v2 Mathematical Physics
math.MP
Abstract
We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. This unexpected result is proven rigorously by using a Peierls argument to measure the entropic advantage of sublattice long-range order. Additional numerical data are obtained using transfer matrices, Monte Carlo simulation, and a high-precision graph-theoretic method.
Cite
@article{arxiv.1210.6248,
title = {Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q},
author = {Yuan Huang and Kun Chen and Youjin Deng and Jesper Lykke Jacobsen and Roman Kotecký and Jesús Salas and Alan D. Sokal and Jan M. Swart},
journal= {arXiv preprint arXiv:1210.6248},
year = {2013}
}
Comments
RevTeX, 5 pages, includes 10 Postscript figures