On the phase diagram of the random bond $q$-state Potts model

TL;DR

This paper investigates the phase diagram of the 2D random bond q-state Potts model using an exact scattering framework, revealing stable fixed points due to disorder and analyzing RG patterns for large q where the pure model transition is first order.

Contribution

It introduces an exact scattering approach to study the phase diagram of the disordered 2D Potts model, highlighting stable fixed points and RG behavior for large q.

Findings

Disorder induces a line of stable fixed points for all q.

The RG pattern for q>4 shows significant differences from the pure model.

The pure model's first-order transition is altered by disorder.

Abstract

We consider the two-dimensional random bond $q$-state Potts model within the recently introduced exact framework of scale invariant scattering, exhibit the line of stable fixed points induced by disorder for arbitrarily large values of $q$, and examine the renormalization group pattern for $q>4$, when the transition of the pure model is first order.