Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
Statistical Mechanics
2013-07-29 v1 High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
We argue that the 4-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4. We furthermore predict the universality class of this transition. We then present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the union-jack and bisected hexagonal lattices.
Keywords
Cite
@article{arxiv.1108.1743,
title = {Finite-temperature phase transition in a class of 4-state Potts antiferromagnets},
author = {Youjin Deng and Yuan Huang and Jesper Lykke Jacobsen and Jesús Salas and Alan D. Sokal},
journal= {arXiv preprint arXiv:1108.1743},
year = {2013}
}
Comments
LaTeX2e/Revtex4, 5 pages