Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm
Abstract
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.
Cite
@article{arxiv.cond-mat/0108540,
title = {Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm},
author = {Chiaki Yamaguchi and Yutaka Okabe},
journal= {arXiv preprint arXiv:cond-mat/0108540},
year = {2009}
}
Comments
9 pages including 9 eps figures, RevTeX, to appear in J. Phys. A