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

@article{Deng2011FinitetemperaturePT,
  title={Finite-temperature phase transition in a class of four-state Potts antiferromagnets.},
  author={Youjin Deng and Yu’an Huang and Jesper Lykke Jacobsen and Jes{\'u}s Salas and Alan D. Sokal},
  journal={Physical review letters},
  year={2011},
  volume={107 15},
  pages={
          150601
        }
}
We argue that the four-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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