Monte Carlo study of the antiferromagnetic potts model on frustrated lattices

Results of computer simulations for the antiferromagnetic q-state Potts model on the triangle and FCC lattices are reported. For the triangle lattice, the three-state Potts model has a first-order phase transition at a temperature Tc approximately=0.63 mod J mod . For q>or=4, the system is paramagnetic for all temperatures. For the FCC lattice, the transition is first order for 2<or=q<or=6.