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An Analytical Study of Three-State Potts Model on Lattice

赵佩英, 吴济民

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

We investigate the phase structure of the three-state Potts model by the variational cumulant expansion approach. It is shown that there is a weak first-order phase transition in three and four dimensions. The critical coupling given by this method is in good agreement with MC data.

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Abstract We report a numerical study of the weakly diluted 4-state Potts model on a triangular lattice using Monte Carlo method. We consider systems with linear dimensions L × L = N, L = 10–160. Phase transitions in the Potts model are investigated employing the fourth-order Binder cumulants method and the histogram data analysis. Second-order phase transitions which are close to weakly first-order transitions are shown to occur in the 4-state Potts model on a triangular lattice. The addition of a nonmagnetic disorder has a stabilizing role in the realization of second-order phase transitions.