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Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions

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Fernández Pérez, Luis Antonio and Maiorano, A. and Marinari, E. and Martín Mayor, Víctor and Navarro, D. and Sciretti, D. and Tarancón, A. and Velasco, J. L. (2008) Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions. Physical review B, 77 (10). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.77.104432


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Abstract

We investigate the critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions by means of Monte Carlo simulations and a finite-size scaling analysis. By using a field programmable gate array, we have been able to thermalize a large number of samples of systems with large volume. This has allowed us to observe a spin-glass ordered phase in d=4 and to study the critical properties of the transition. In d=3, our results are consistent with the presence of a Kosterlitz-Thouless transition, but also with different scenarios: transient effects due to a value of the lower critical dimension slightly below 3 could be very important.


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Additional Information:

© 2008 The American Physical Society. We acknowledge partial financial support from CAM-UCM and UCM-BSCH, and from MEC through research contracts Nos. FIS2006-08533-C03 and TEC2007-64188. J.L.V. is supported by DGA. We thank Stefano Mossa, Giorgio Parisi, and Cristina Picus for a number of conversations about the glassy Potts models and more. We thank Raffaele Tripiccione and all the JANUS Collaboration for their continuous help, which could not have been more important for us.

Uncontrolled Keywords:Antiferromagnetic RP(2) model; Lattice spin model; Monte-Carlo; Hypercubic lattices; Ferromagnetic phase; 3 dimensions; Field-theory; Transitions; Computer; Dynamics.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37983
Deposited On:22 Jun 2016 10:39
Last Modified:23 Jun 2016 08:17

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