Occurrence of Kosterlitz-Thouless-Like Phase Transition in Antiferromagnetic Potts Models

Abstract

Monte Carlo simulations of three-state Potts models interacting with nearest-neighbor antiferromagnetic J₁ (<0) and next-nearest-neighbor ferromagnetic J₂ (>0) are carried out on a square lattice. At enough low temperatures an antiferromagnetic ordering is shown to appear except for J₂=0. In the intermediate temperatures the occurrence of the Kosterlitz-Thouless-like phase is indicated from the estimation of the critical exponent η.