Evidence of a glass transition in a 10-state non-mean-field Potts glass

TL;DR

This study provides evidence that a glass transition can occur in a finite-dimensional 10-state Potts glass model, using a one-dimensional long-range interaction approach, offering insights into structural glass transitions in short-range systems.

Contribution

It demonstrates the existence of a glass transition in a 10-state Potts glass model below the upper critical dimension through a one-dimensional long-range interaction framework.

Findings

Evidence of a glass transition in a 10-state Potts glass model

Potential for studying structural glass transitions in short-range systems

Insights into low-temperature behavior of non-mean-field spin glasses

Abstract

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model with long-range power-law interactions we present evidence that a glass transition below the upper critical dimension can exist for short-range systems at low enough temperatures. Gaining insights into the structural glass transition for short-range systems using spin models is thus potentially possible, yet difficult.