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The anisotropic Ashkin–Teller model: a renormalization group study

2001/02/05 by C.G. Bezerra, C. G. Bezerra, A. M. Mariz +5
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0378-4371(00)00568-9

3 ps figures, accepted for publication in Physica A

arxiv created 2001/02/05 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 (νT) and crossover (ϕ) 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.

Citations