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WORLD SCIENTIFIC eBooks

Universality-Nonuniversality Crossover in the Ashkin-Teller Model

Published Mar 1, 2008• 0 citations
Publisher
DOI
10.1142/9789812792402_0011

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The authors study the critical exponents, eigenoperators and the phase diagram of the N=2 Ashkin-Teller (AT) model in two dimensions using a Monte Carlo renormalisation group. They pay special attention to the marginal operator responsible for the non-universal behaviour. The crossover exponent is measured and used to numerically calculate the thermal exponent of the eight-vertex model and of the AT model near the Potts-four-point, giving better results than a direct determination, since the crossover operator is not affected by the additional AT marginal operators.