The Lévy spin glass transition
Institut für Physik, Carl-von-Ossietzky-Universität - 26111 Oldenburg, Germany, EU
2 Laboratoire the Physique Théorique et Modèles Statistiques, CNRS and Université Paris-Sud - Bât 100, 91405 Orsay Cedex, France, EU
Corresponding author: firstname.lastname@example.org
Accepted: 4 March 2010
We determine the phase transition in the Lévy spin glass. A regularized model where the coupling constants smaller than some cutoff ε are neglected can be studied by the cavity method for diluted spin glasses. We show how to handle the ε 0 limit and determine the de Almeida-Thouless transition temperature in the 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.
PACS: 75.10.Nr – Spin-glass and other random models / 02.50.-r – Probability theory, stochastic processes, and statistics / 05.20.-y – Classical statistical mechanics
© EPLA, 2010