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Spin glass phase in the four-state three-dimensional Potts model

2009; American Physical Society; Volume: 79; Issue: 18 Linguagem: Inglês

10.1103/physrevb.79.184408

1550-235X

A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, Filippo Mantovani, Enzo Marinari, V. Martı́n-Mayor, A. Muñoz Sudupe, D. Navarro, Giorgio Parisi, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, Sebastiano Fabio Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, David Yllanes, A. P. Young,

Complex Systems and Time Series Analysis

We perform numerical simulations, including parallel tempering, a four-state Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the critical temperature and the value of the critical exponents. Nevertheless, the extrapolation to infinite volume is hampered by strong scaling corrections. 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.