Antiferromagnetic Potts models on the square lattice

Sabino José Ferreira, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We study the antiferromagnetic q-state Potts model on the square lattice for q=3 and 4, using the Wang-Swendsen-Kotecký Monte Carlo algorithm and a finite-size-scaling extrapolation method. For q=3, we obtain good control up to correlation length ξ∼5000; the data are consistent with ξ(β)=Ae2ββ(1+a1e-β+...) as β→. For q=4, the model is disordered even at zero temperature.

    Original languageEnglish (US)
    Pages (from-to)6727-6730
    Number of pages4
    JournalPhysical Review B
    Volume51
    Issue number10
    DOIs
    StatePublished - 1995

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    Potts model
    Extrapolation
    extrapolation
    scaling
    Temperature
    temperature

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Antiferromagnetic Potts models on the square lattice. / Ferreira, Sabino José; Sokal, Alan D.

    In: Physical Review B, Vol. 51, No. 10, 1995, p. 6727-6730.

    Research output: Contribution to journalArticle

    Ferreira, Sabino José ; Sokal, Alan D. / Antiferromagnetic Potts models on the square lattice. In: Physical Review B. 1995 ; Vol. 51, No. 10. pp. 6727-6730.
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