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.

9 pages and 9 Postscript figures. Final version published in J. Stat. Mech