Ferromagnetic phase transition for the spanning-forest model (q→0 limit of the potts model) in three or more dimensions

Youjin Deng, Timothy M. Garoni, Alan D. Sokal

    Research output: Contribution to journalArticle


    We present Monte Carlo simulations of the spanning-forest model (q→0 limit of the ferromagnetic Potts model) in spatial dimensions d=3, 4, 5. We show that, in contrast to the two-dimensional case, the model has a ferromagnetic second-order phase transition at a finite positive value wc. We present numerical estimates of wc and of the thermal and magnetic critical exponents. We conjecture that the upper critical dimension is 6.

    Original languageEnglish (US)
    Article number030602
    JournalPhysical Review Letters
    Issue number3
    StatePublished - Jan 26 2007


    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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