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Multiscaling of energy correlations in the random-bond Potts model

Jesper Lykke Jacobsen
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Abstract

We numerically calculate the exponent for the disorder averaged and fixed-sample decay of the energy-energy correlator in the q-state random-bond Potts model. Our results are in good agreement with a two-loop expansion (cond-mat/9910181) around q=2 recently found from perturbative renormalisation group techniques, fulfill the correlation length bound ν>= 2/d, and give further evidence against replica symmetry breaking in this class of models.

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Jesper Lykke Jacobsen. 1999-12-16. Multiscaling of energy correlations in the random-bond Potts model. https://doi.org/10.1103/physreve.61.r6060

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