Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm

Details Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm

2001-08-31

arxiv.org/abs/cond-mat/0108540v1

J. Phys. A34, 8781-8794 (2001)

Physics

Condensed Matter

Statistical Mechanics

9 pages including 9 eps figures, RevTeX, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/34/42/305

We apply a newly proposed Monte Carlo method, the Wang-Landau algorithm, to the study of the three-dimensional antiferromagnetic q-state Potts models on a simple cubic lattice. We systematically study the phase transition of the models with q=3, 4, 5 and 6. We obtain the finite-temperature phase transition for q= 3 and 4, whereas the transition temperature is down to zero for q=5. For q=6 there exists no order for all the temperatures. We also study the ground-state properties. The size-dependence of the ground-state entropy is investigated. We find that the ground-state entropy is larger than the contribution from the typical configurations of the broken-sublattice-symmetry state for q=3. The same situations are found for q = 4, 5 and 6.

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