Coupled Critical Models: Applications to Ising-Potts Models

TL;DR

This paper investigates the critical behavior of coupled 2D Ising and Potts models, identifying new tricritical points using renormalisation techniques, which could inform understanding of complex coupled critical systems.

Contribution

It introduces a novel analysis of coupled critical models using renormalisation of perturbation series around conformal field theories, revealing new tricritical points.

Findings

Discovery of new tricritical points in coupled Ising-Potts models

Application of renormalisation approach to coupled critical systems

Potential insights into physics of fully frustrated XY models

Abstract

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal field theories representing pure models as already used for disordered spins models. This analysis could be useful to understand the physics of coupled critical models like the fully frustrated XY model.