Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions
Disordered Systems and Neural Networks
2008-04-15 v2
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 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.
Keywords
Cite
@article{arxiv.0710.4246,
title = {Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions},
author = {L. A. Fernandez and A. Maiorano and E. Marinari and V. Martin-Mayor and D. Navarro and D. Sciretti and A. Tarancon and J. L. Velasco},
journal= {arXiv preprint arXiv:0710.4246},
year = {2008}
}
Comments
9 pages, 8 Postscript figures