Critical behavior of three-dimensional disordered Potts models with many states

Abstract

We study the 3D Disordered Potts Model with p = 5 and p = 6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower p values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.

Dynamical heterogeneities as fingerprints of a backbone structure in Potts models

“…[45], there is no evidence for a ferromagnetic phase in finite dimensional models. Although in three dimensions this system has a low-temperature spinglass phase, with a glass transition temperature decreasing with increasing q [45,46], the two-dimensional counterpart has T g = 0 and no spin-glass phase for all q (as is the case for the two-dimensional ±J EA model). Nevertheless, in two dimensions, the low-temperature dynamics becomes extremely slow when decreasing the temperature and has some characteristics similar to a true spin-glass phase.…”