Low-temperature Phase Transition in 3-state Potts Glass

TL;DR

This paper investigates the low-temperature phase transition in the 3-state Potts glass, revealing the instability of the 1RSB phase and supporting the potential for a full RSB at low temperatures.

Contribution

It explicitly determines the temperature at which the 1RSB phase becomes unstable in the 3-state Potts glass, suggesting the possibility of a full RSB phase at low temperatures.

Findings

1RSB phase becomes unstable at a temperature higher than where entropy turns negative

Supports the conjecture of low-temperature full RSB in the 3-state Potts glass

Provides explicit calculations of the instability temperature

Abstract

The low-temperature instability of one-step replica symmetry breaking (1RSB) phase in 3-state Potts spin glass is obtained explicitly. The temperature of the instability is higher than the temperature where the 1RSB entropy becomes negative. The conjecture of the possibility of the low-temperature full RSB is supported.