Weak Randomness for large q-State Potts models in Two Dimensions

TL;DR

This paper investigates how weak randomness influences two-dimensional q-state Potts models for q > 4, revealing new central charge values and their relationships through a factorization law, advancing understanding of disordered critical systems.

Contribution

It introduces new central charge measurements for disordered Potts models and uncovers a factorization law linking some of these values, providing novel insights into their critical behavior.

Findings

New central charge values for disordered q-state Potts models

Identification of a factorization law relating these values

Enhanced understanding of weak randomness effects on critical phenomena

Abstract

We have studied the effect of weak randomness on q-state Potts models for q > 4 by measuring the central charges of these models using transfer matrix methods. We obtain a set of new values for the central charges and then show that some of these values are related to one another by a factorization law.