Monte Carlo simulation of the antiferromagnetic four-state Potts model on simple cubic and body-centered-cubic lattices

The phase transition of four-state antiferromagnetic Potts model on simple cubic and body-centered-cubic lattice is studied by cluster Monte Carlo simulations of finite systems up to 96(3) lattice sizes. The result indicates that the size 963 is still sufficient to extract asymptotic behavior. However, if one assumes that both models are well described by the usual Ginzburg-Landau Hamiltonian, the result is consistent viith the prediction of the field-theoretical analysis that the phase transition is first-order one. [S0163-1829(99)04033-3].