Phase transition in the 2d random Potts model in the large-q limit

2002/11/25 by J-Ch. Angles d'Auriac, d'Auriac, J-Ch. Angles, F. Igloi +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0211543

4 pages 3 figures

arxiv created 2002/11/25 · arxiv updated 2009/11/30

Abstract

Phase transition in the two-dimensional q-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random transverse-field Ising spin chain. This is supported by extensive numerical studies with a combinatorial optimization algorithm giving estimates for the critical exponents in accordance with the conjectured values: β=(3-√(5))/4, β_s=1/2 and ν=1. The specific heat has a logarithmic singularity, but at the transition point there are very strong sample-to-sample fluctuations. Discretized randomness results in discontinuities in the internal energy.

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