C. Yamaguchi et Y. Okabe, Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm, J PHYS A, 34(42), 2001, pp. 8781-8794
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 t
ransition for q = 3 and 4, whereas the transition temperature is down to ze
ro for q = 5. For q = 6 there exists no order for any temperature. 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 th
an the contribution from the typical configurations of the broken-sublattic
e-symmetry state for q = 3. The same situations are found for q = 4, 5 and
6.