Evidence of a one-step replica symmetry breaking in a three-dimensional Potts glass model

We study a seven-state Potts glass model in three dimensions with first-, second-, and third-nearest-neighbor interactions with a bimodal distribution of couplings by Monte Carlo simulations. Our results show the existence of a spin-glass transition at a finite temperature T-c, a discontinuous jump of an order parameter at T-c without latent heat, and a nontrivial structure in the order parameter distribution below T-c. They are compatible with one-step replica symmetry breaking.