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