The critical behavior of the two-dimensional three-state Potts model on a triangular lattice with quenched disorder

摘要

The critical behavior of the two-dimensional three-state antiferromagnetic Potts model with quenched disorder on a triangular lattice is investigated by the Monte Carlo method. Static critical exponents for the susceptibility gamma, the magnetization beta, the specific heat alpha, and the exponent of the correlation radius nu at spin concentrations p=0.90; 0.80; 0.70; 0.65 are calculated on the basis of the finite-size scaling theory. The critical exponents are found to be increasing with a rise in disorder without violating the feasibility of scaling equation 2 betau + gammau = d, while relations gammau and betau remain unchanged. This behavior of the critical exponents we have come to associate with the weak universality of a critical behavior typical for disordered systems. (C) 2018 Elsevier B.V. All rights reserved.