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

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2009-05-01
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American Physical Society
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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.
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© 2009 The American Physical Society. Artículo firmado por 20 autores. JANUS has been funded by European Union FEDER funds, Diputación General de Aragón Spain, Microsoft–Italy, and Eurotech. We were partially supported by MEC Spain through Contracts No. TEC2007-64188, No. FIS2006-08533, No. FIS2007-60977, and No. FIS2008- 01323, from CAM Spain under Contract No. CCG07- UCM/ESP-2532, and from the Microsoft Prize 2007. D.S. acknowledges Contract No. BFM2003-08532-C03-01 from MEC Spain. The authors would like to thank the Arénaire team, especially Jérémie Detrey and Florent de Dinechin for the VHDL code of the logarithm function.
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