1997/10/02 by P. Simon, Pascal Simon · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0550-3213(98)00016-9
45 pages, Latex, 3 PS figures
arxiv created 1997/10/02 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyse in this article the critical behavior of M q1-state Potts models coupled to N q2-state Potts models (q1,q2∈ [2..4]) with and without disorder. The technics we use are based on perturbed conformal theories. Calculations have been performed at two loops. We already find some interesting situations in the pure case for some peculiar values of M and N with new tricritical points. When adding weak disorder, the results we obtain tend to show that disorder makes the models decouple. Therefore, no relations emerges, at a perturbation level, between for example the disordered q1× q2-state Potts model and the two disordered q1,q2-state Potts models (q1≠ q2), despite their central charges are similar according to recent numerical investigations.