Critical Behavior of Three-Dimensional Disordered Potts Models with Many States

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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9 pages and 9 Postscript figures. Final version published in J. Stat. Mech

Scientific paper

10.1088/1742-5468/2010/05/P05002

We study the 3D Disordered Potts Model with p=5 and p=6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower $p$ values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.

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