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

doi:10.1103/PhysRevLett.98.030602

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

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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.

Original language	English (US)
Article number	030602
Journal	Physical Review Letters
Volume	98
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.98.030602
State	Published - 2007

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.98.030602

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

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