Color symmetry and ferromagnetism in Potts spin glass

TL;DR

This paper investigates the relationship between color symmetry breaking and ferromagnetic phase transition in the Potts spin glass, identifying a critical interaction parameter that marks both phenomena.

Contribution

It establishes a single critical value of the ferromagnetic interaction parameter that simultaneously triggers color symmetry breaking and ferromagnetic transition in the Potts spin glass.

Findings

Identified a critical value t_c for phase transition

Linked color symmetry breaking to ferromagnetic transition

Clarified the phase diagram of the Potts spin glass

Abstract

We consider the Potts spin glass with additional ferromagnetic interaction parametrized by $t$. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic phase transition. To clarify this, we identify a single critical value $t_\mathrm{c}$, which marks the onset of both color symmetry breaking and the transition to ferromagnetism.