Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions

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dc.creatorFernandez, L. A.
dc.creatorMaiorano, A.
dc.creatorMarinari, E.
dc.creatorMartin-Mayor, V.
dc.creatorNavarro, D.
dc.creatorSciretti, D.
dc.creatorTarancon, A.
dc.creatorVelasco, J. L.
dc.date2007-10-23
dc.date2008-04-15
dc.date.accessioned2026-07-07T09:32:25Z
dc.date.available2026-07-07T09:32:25Z
dc.descriptionWe investigate the critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions by means of Monte Carlo simulation and of a finite size scaling analysis. Thanks to the use of 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 we cannot exclude transient effects due to a value of the lower critical dimension slightly below 3.
dc.description9 pages, 8 Postscript figures
dc.identifierhttps://arxiv.org/abs/0710.4246
dc.identifierhttp://arxiv.org/abs/0710.4246
dc.identifierPhys. Rev. B 77, 104432 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.104432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158770
dc.subjectDisordered Systems and Neural Networks
dc.titleCritical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions
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