RT Journal Article
T1 Critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions
A1 Fernández Pérez, Luis Antonio
A1 Maiorano, A.
A1 Marinari, E.
A1 Martín Mayor, Víctor
A1 Navarro, D.
A1 Sciretti, D.
A1 Tarancón, A.
A1 Velasco, J. L.
AB 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.
PB American Physical Society
SN 1098-0121
YR 2008
FD 2008-03-24
LK https://hdl.handle.net/20.500.14352/51902
UL https://hdl.handle.net/20.500.14352/51902
LA eng
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NO © 2008 The American Physical Society. We acknowledge partial financial support from CAM-UCM and UCM-BSCH, and from MEC through research contracts Nos. FIS2006-08533-C03 and TEC2007-64188. J.L.V. is supported by DGA. We thank Stefano Mossa, Giorgio Parisi, and Cristina Picus for a number of conversations about the glassy Potts models and more. We thank Raffaele Tripiccione and all the JANUS Collaboration for their continuous help, which could not have been more important for us.
NO Comunidad de Madrid-Universidad Complutense
NO UCM-BSCH (Spain)
NO MEC (Spain)
NO DGA
DS Docta Complutense
RD 6 oct 2024