The anisotropic Ashkin-Teller model: a renormalization group study

Details The anisotropic Ashkin-Teller model: a renormalization group study The anisotropic Ashkin-Teller model: a renormalization group study

2001-02-05

arxiv.org/abs/cond-mat/0102080v1

Physics

Condensed Matter

Statistical Mechanics

3 ps figures, accepted for publication in Physica A

Scientific paper

10.1016/S0378-4371(00)00568-9

The two-dimensional ferromagnetic anisotropic Ashkin-Teller model is investigated through a real-space renormalization-group approach. The critical frontier, separating five distinct phases, recover all the known exacts results for the square lattice. The correlation length $(\nu_T)$ and crossover $(\phi)$ critical exponents are also calculated. With the only exception of the four-state Potts critical point, the entire phase diagram belongs to the Ising universality class.

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