# Universality and non-universality in the Ashkin-Teller model

@article{Giuliani2004UniversalityAN, title={Universality and non-universality in the Ashkin-Teller model}, author={Alessandro Giuliani}, journal={arXiv: Statistical Mechanics}, year={2004} }

The Ashkin-Teller model can be formulated as a pair of 2D Ising models, interacting via a four-spin interaction. I consider the case of weak anisotropy (slight a-symmetry between the two Ising layers) and weak coupling. I show that the system admits two critical temperatures whose difference varies continuously with the strength of the coupling, scaling with an anomalous exponent as one let the a-symmetry parameter go to zero. The specific heat diverges logarithmically at the critical points…

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