Finite-temperature phase transition in a class of 4-state Potts antiferromagnets

Details Finite-temperature phase transition in a class of 4-state Potts antiferromagnets Finite-temperature phase transition in a class of 4-state Potts antiferromagnets

2011-08-08

arxiv.org/abs/1108.1743v1

Phys. Rev. Lett. 107 (2011) 150601

Physics

Condensed Matter

Statistical Mechanics

LaTeX2e/Revtex4, 5 pages

Scientific paper

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.

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