Effect of randomness in many coupled Potts models

Abstract

Using 2-loop renormalisation group calculations, we study a system of $N$ two-dimensional Potts models with random bonds coupled together by their local energy density. This model can be seen as a generalization of the random Ashkin-Teller model. We found that, depending on the sign of the coupling term, the universality class of the system in the presence of randomness is different. Under particular consideration, this model presents an example of a first order phase transition rounded by randomness.

6 pages, latex, no figures

References in corpus (3)

• Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models
• Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models
• Critical RSOS Models in External Fields

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• Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points
• Emerging criticality in the disordered three-color Ashkin-Teller model
• Bond disorder induced criticality of the three-color Ashkin-Teller model
• The effect of quenched bond disorder on first-order phase transitions
• Coupled Minimal Models with and without Disorder
• Critical points in coupled Potts models and correlated percolation
• A Renormalization Group Study of Asymetrically Coupled Minimal Models
• Critical Behavior of Coupled q-state Potts Models under Weak Disorder
• Coupled Ising models with disorder
• Coupled Critical Models: Applications to Ising-Potts Models
• Nature of phase transitions in Axelrod-like coupled Potts models in two dimensions