The Lévy spin glass transition

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 $\rightarrow$ 0 limit and determine the de Almeida-Thouless tr...

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Bibliographic Details
Published in:Europhysics letters 2010-03, Vol.89 (6), p.67002
Main Authors: Janzen, K, Engel, A, Mézard, M
Format: Article
Language:English
Subjects:
02.50.-r
05.20.-y
75.10.Nr
Condensed Matter
Constants
Dilution
Handles
Holes
Joining
Mathematical models
Other
Phase transformations
Physics
Spin glass
Transition temperature
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Summary: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 $\rightarrow$ 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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/89/67002