The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model

Abstract

We perform numerical simulations, including parallel tempering, on the Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the location of the transition and the value of the critical exponents. We show that there is no ferromagnetic transition in a large temperature range around the glassy critical temperature. We also compare our results with those obtained recently on the "random permutation" Potts glass.

7 pages and 3 figures. Corrected minor typos

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Cited by in corpus (9)

• Janus II: a new generation application-driven computer for spin-system simulations
• Reconfigurable computing for Monte Carlo simulations: results and prospects of the Janus project
• Critical Behavior of Three-Dimensional Disordered Potts Models with Many States
• Superstable cycles for antiferromagnetic Q-state Potts and three-site interaction Ising models on recursive lattices
• Evidence of one-step replica symmetry breaking in a three-dimensional Potts glass model
• Strange Attractor in the Potts Spin Glass on Hierarchical Lattices
• Dynamical heterogeneities as fingerprints of a backbone structure in Potts models
• Evidence of a glass transition in a 10-state non-mean-field Potts glass
• A curious relationship between Potts glass models