The Forgotten Potts Models

TL;DR

This paper investigates q=10 and q=200 state Potts models coupled to 2D gravity, revealing continuous phase transitions and analyzing their critical exponents, contrasting with their behavior on regular lattices.

Contribution

It provides the first numerical evidence of continuous phase transitions for high-q Potts models coupled to 2D gravity and discusses their critical behavior.

Findings

q=10 and q=200 Potts models exhibit continuous phase transitions on 2D gravity

Critical exponents are extracted for these models

Discussion on possible critical behavior for general q

Abstract

The q=10 and q=200 state Potts models coupled to 2d gravity are investigated numerically and shown to have continuous phase transitions, contrary to their behavior on a regular lattice. Critical exponents are extracted and possible critical behavior for general q-state Potts models coupled to gravity is discussed.