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

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

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

Authors

Deng, Youjin

Garoni, Timothy M.

Sokal, Alan D.

Description

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.
LaTex2e, 4 pages; includes 6 Postscript figures; Version 2 has expanded title as published in PRL