The Levy spin glass transition

Details The Levy spin glass transition The Levy spin glass transition

2009-10-14

arxiv.org/abs/0910.2602v1

Europhys. Lett. 89, 67002 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 4 figures

Scientific paper

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.

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