Phase transitions in the Potts spin glass model

TL;DR

This paper investigates phase transitions in the Potts spin glass model with varying states, revealing distinct spin glass and percolation transitions, and compares the efficiency of cluster Monte Carlo dynamics with standard methods.

Contribution

It introduces a study of the Potts spin glass model across different s-values, identifying transition behaviors and analyzing the effectiveness of cluster Monte Carlo dynamics.

Findings

Identifies spin glass transition at T_{SG}(s) for all s.

Discovers a percolation transition at T_p(s) for all s.

Shows T_p(s) transition belongs to ferromagnetic Potts universality class.

Abstract

We have studied the Potts spin glass with 2-state Ising spins and s-state Potts variables using a cluster Monte Carlo dynamics. The model recovers the +- J Ising spin glass (SG) for s=1 and exhibits for all s a SG transition at T_{SG}(s) and a percolation transition at higher temperature T_p(s). We have shown that for all values of $s\neq 1$ at T_p(s) there is a thermodynamical transition in the universality class of a ferromagnetic s-state Potts model. The efficiency of the cluster dynamics is compared with that of standard spin flip dynamics.