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

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

doi:10.1103/physrevlett.98.030602

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

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

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Abstract

We present Monte Carlo simulations of the spanning-forest model (q \to 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 w_c. We present numerical estimates of w_c and of the thermal and magnetic critical exponents. We conjecture that the upper critical dimension is 6.

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Youjin Deng, Timothy M. Garoni, Alan D. Sokal. 2007-01-17. Ferromagnetic phase transition for the spanning-forest model (q \to 0 limit of the Potts model) in three or more dimensions. https://doi.org/10.1103/physrevlett.98.030602

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