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

Fernandez, L. A.; Maiorano, A.; Marinari, E.; Martin-Mayor, V.; Navarro, D.; Sciretti, D.; Tarancon, A.; Velasco, J. L.

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

Authors

Description

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.
9 pages, 8 Postscript figures