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Physical review. B, Condensed matter

Monte Carlo renormalization-group study of the discrete Gaussian model

Katherine J. Strandburg

Published May 1, 1987• 4 citations
Publisher

Abstract

A simple Monte Carlo renormalization-group matching procedure is applied to the discrete Gaussian model on a triangular lattice. The line of fixed points at high temperatures is observed. The roughening temperature found is in good agreement with that found using methods which assume the validity of the Kosterlitz-Thouless theory.
DOI
10.1103/physrevb.35.7161

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The effectiveness of a Monte Carlo renormalization-group method is studied by applying it to the Baxter-Wu model (Ising spins on a triangular lattice with three-spin interactions). The calculations yield three relevant eigenvalues in good agreement with exact or conjectured results. We demonstrate that the method is capable of distinguishing between models expected to be in the same universality class, when one of them (four-state Potts) exhibits logarithmic corrections to the usual power-law singularities and the other (Baxter-Wu) does not.
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