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

Youjin Deng, Yuan Huang, Jesper Lykke Jacobsen, Jesús Salas, Alan D. Sokal

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    Abstract

    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.

    Original languageEnglish (US)
    Article number150601
    JournalPhysical Review Letters
    Volume107
    Issue number15
    DOIs
    StatePublished - Oct 3 2011

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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