The Levy spin glass transition

K. Janzen 1, A. Engel 2, M. Mézard 3

Europhysics Letters (EPL) 89, 6 (2010) 67002

We determine the phase transition of the Levy spin glass. A regularized model where the coupling constants smaller than some cutoff $\epsilon$ are neglected can be studied by the cavity method for diluted spin glasses. We show how to handle the $\epsilon\to 0$ limit and determine the de Almeida-Thouless transition temperature in presence of an external field. Contrary to previous findings, in zero external field we do not find any stable replica-symmetric spin glass phase: the spin glass phase is always a replica-symmetry-broken phase.

  • 1. Institut für Physik,
    Carl von Ossietzky Universität
  • 2. Institut für Physik,
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud