The Glassy Potts Model

Details The Glassy Potts Model The Glassy Potts Model

1998-05-23

arxiv.org/abs/cond-mat/9805300v1

Phys.Rev.B59:8401-8404,1999

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages including 4 (color) ps figures (all on page 4)

Scientific paper

10.1103/PhysRevB.59.8401

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from $T_c$ down to T=0. We study numerical the 4 dimensional model with $q=4$ states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder cumulant and the divergence of the overlap susceptibility. We show that the dynamical behavior of the system is characterized by aging.

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