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

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

2006-10-06

arxiv.org/abs/cond-mat/0610193v2

Phys.Rev.Lett.98:030602,2007

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevLett.98.030602

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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