The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model

TL;DR

This paper investigates the spin glass phase in the three-dimensional four-state Potts model through numerical simulations, identifying a glassy transition and analyzing its critical properties, with implications for understanding disordered magnetic systems.

Contribution

The study provides the first detailed numerical characterization of the glassy transition in the 3D four-state Potts glass, including critical exponents and transition temperature estimation.

Findings

Identification of a glassy transition in the model

Estimation of critical exponents at the transition

No ferromagnetic transition observed around the glassy critical temperature

Abstract

We perform numerical simulations, including parallel tempering, on the Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the location of the transition and the value of the critical exponents. We show that there is no ferromagnetic transition in a large temperature range around the glassy critical temperature. We also compare our results with those obtained recently on the "random permutation" Potts glass.