Evidence of one-step replica symmetry breaking in a three-dimensional Potts glass model

TL;DR

This study provides evidence of one-step replica symmetry breaking in a three-dimensional 7-state Potts glass model, revealing a finite-temperature spin-glass transition with unique order-parameter behavior.

Contribution

First Monte Carlo simulation evidence of one-step replica symmetry breaking in a 3D Potts glass model with multiple neighbor interactions.

Findings

Finite-temperature spin-glass transition at T_c

Discontinuous order parameter jump without latent heat

Non-trivial order-parameter distribution below T_c

Abstract

We study a 7-state Potts glass model in three dimensions with first, second, and third neighbor interactions with a bimodal distribution of couplings by Monte Carlo simulations. Our results show the existence of a spin-glass transition at a finite temperature T_c, a discontinuous jump of an order parameter at T_c without latent heat, and a non-trivial structure of the order-parameter distribution below T_c. They are compatible with a one-step replica symmetry breaking.