Critical Behavior of Three-Dimensional Disordered Potts Models with Many States

TL;DR

This paper investigates the critical behavior of three-dimensional disordered Potts models with many states, identifying a clear spin glass phase transition and analyzing how critical parameters evolve with increasing number of states.

Contribution

It provides the first detailed numerical analysis of the 3D disordered Potts model for p=5 and p=6, revealing the nature of the phase transition and critical exponents.

Findings

Detected a clear spin glass phase transition for p=5 and p=6

Evaluated critical exponents and transition temperature

Found no evidence of a ferromagnetic transition

Abstract

We study the 3D Disordered Potts Model with p=5 and p=6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower $p$ values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.