| Issue |
EPL
Volume 89, Number 6, March 2010
|
|
|---|---|---|
| Article Number | 67002 | |
| Number of page(s) | 5 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/89/67002 | |
| Published online | 07 April 2010 | |
The Lévy spin glass transition
1
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: janzen@theorie.physik.uni-oldenburg.de
Received:
15
October
2009
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
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