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

Abstract

We study a 7-state Potts glass model in three dimensions with first, second, and third 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 non-trivial structure of the order-parameter distribution below T_c. They are compatible with a one-step replica symmetry breaking.

arXiv comment5 pages, 7 figures

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• Real Space Migdal-Kadanoff Renormalisation of Glassy Systems: Recent Results and a Critical Assessment
• Lattice glass model in three spatial dimensions
• Precursors of the Spin Glass Transition in Three Dimensions
• A curious relationship between Potts glass models