Anomalous critical exponents in the anisotropic Ashkin-Teller model

Details Anomalous critical exponents in the anisotropic Ashkin-Teller model Anomalous critical exponents in the anisotropic Ashkin-Teller model

2004-09-21

arxiv.org/abs/cond-mat/0409550v1

Physics

Condensed Matter

Statistical Mechanics

RevTeX4, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.93.190603

We perform a rigorous computation of the specific heat of the Ashkin-Teller model in the case of small interaction and we explain how the universality-nonuniversality crossover is realized when the isotropic limit is reached. We prove that, even in the region where universality for the specific heat holds, anomalous critical exponents appear: for instance we predict the existence of a previously unknown anomalous exponent, continuously varying with the strength of the interaction, describing how the difference between the critical temperatures rescales with the anisotropy parameter.

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