Ferromagnetic phase transition for the spanning-forest model (q-->0 limit of the Potts model) in three or more dimensions.
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 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.
Deng
Youjin
Y
Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USA. yd10@nyu.edu
Garoni
Timothy M
TM
Sokal
Alan D
AD