Effect of randomness in many coupled Potts models

Details Effect of randomness in many coupled Potts models Effect of randomness in many coupled Potts models

1996-02-21

arxiv.org/abs/cond-mat/9602116v1

Physics

Condensed Matter

6 pages, latex, no figures

Scientific paper

10.1209/epl/i1996-00567-2

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.

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