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

R. Alvarez Banos , A. Cruz , L. A. Fernandez , A. Gordillo-Guerrero , J.M. Gil-Narvion , M. Guidetti , A. Maiorano , F. Mantovani

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E. Marinari V. Martin-Mayor J. Monforte-Garcia A. Munoz Sudupe D. Navarro G. Parisi S. Perez-Gaviro J. J. Ruiz-Lorenzo B. Seoane S. F. Schifano A. Tarancon R. Tripiccione D. Yllanes

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classification ❄️ cond-mat.dis-nn cond-mat.stat-mech

keywords criticaldisorderedincreasingpottstransitionbehaviorcleardetect

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

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