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
Abstract
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.
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