Color symmetry and ferromagnetism in 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 \(t_\textrm{c}\), which marks the onset of both color symmetry breaking and the transition to ferromagnetism.