Phase diagram and critical exponents of a Potts gauge glass

Details Phase diagram and critical exponents of a Potts gauge glass Phase diagram and critical exponents of a Potts gauge glass

2001-05-30

arxiv.org/abs/cond-mat/0105587v2

Phys. Rev. E 65, 026113 (2002)

Physics

Condensed Matter

Statistical Mechanics

Latex, 7 pages, 3 figures, v2: 1 reference added

Scientific paper

The two-dimensional q-state Potts model is subjected to a Z_q symmetric disorder that allows for the existence of a Nishimori line. At q=2, this model coincides with the +/- J random-bond Ising model. For q>2, apart from the usual pure and zero-temperature fixed points, the ferro/paramagnetic phase boundary is controlled by two critical fixed points: a weak disorder point, whose universality class is that of the ferromagnetic bond-disordered Potts model, and a strong disorder point which generalizes the usual Nishimori point. We numerically study the case q=3, tracing out the phase diagram and precisely determining the critical exponents. The universality class of the Nishimori point is inconsistent with percolation on Potts clusters.

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