%0 Journal Article
%A Fernández Pérez, Luis Antonio
%A Maiorano, A.
%A Marinari, E.
%A Martín Mayor, Víctor
%A Navarro, D.
%A Sciretti, D.
%A Tarancón, A.
%A Velasco, J. L.
%T Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions
%D 2008
%@ 1098-0121
%U https://hdl.handle.net/20.500.14352/51902
%X 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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