The Glassy Potts Model

TL;DR

This paper introduces a 4D frustrated Potts model with gauge symmetry, demonstrating a glassy phase at all temperatures down to zero, characterized by numerical analysis of order parameters and aging dynamics.

Contribution

The paper presents a novel Potts model with quenched disorder and gauge symmetry, revealing a persistent glassy phase and its properties through numerical simulations.

Findings

Existence of a glassy phase from T_c to T=0

Characterization of the phase via order parameter distributions and susceptibility

Observation of aging in the dynamical behavior

Abstract

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from $T_c$ down to T=0. We study numerical the 4 dimensional model with $q=4$ states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder cumulant and the divergence of the overlap susceptibility. We show that the dynamical behavior of the system is characterized by aging.