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00925njm 22002777a 4500 dc Fernández Pérez, Luis Antonio author Maiorano, A. author Marinari, E. author Martín Mayor, Víctor author Navarro, D. author Sciretti, D. author Tarancón, A. author Velasco, J. L. author 2008-03-24 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. 1098-0121 10.1103/PhysRevB.77.104432 https://hdl.handle.net/20.500.14352/51902 http://doi.org/10.1103/PhysRevB.77.104432 http://journals.aps.org/ Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions