Multiscaling of energy correlations in the random-bond Potts model

Jesper Lykke Jacobsen ¹

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 61 (2000) R6060-R6062

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 \\nu >= 2/d, and give further evidence against replica symmetry breaking in this class of models.

• 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud