Abstract

Abstract The Sherrmgton-Kirkpatrick model of a spin glass is solved by a mean field technique which is probably exact in the limit of infinite range interactions. At and above T c the solution is identical to that obtained by Sherrington and Kirkpatrick (1975) using the n → O replica method, but below T c the new result exhibits several differences and remains physical down to T = 0.

Keywords

Spin glassReplicaLimit (mathematics)Range (aeronautics)Replica trickSpin (aerodynamics)Mathematical physicsField (mathematics)Exact solutions in general relativityMathematicsPhysicsCondensed matter physicsStatistical physicsCombinatoricsQuantum mechanicsPure mathematicsThermodynamicsMaterials scienceMathematical analysisComposite material

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Publication Info

Year
1977
Type
article
Volume
35
Issue
3
Pages
593-601
Citations
1246
Access
Closed

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D. J. Thouless, Philip W. Anderson, R. G. Palmer (1977). Solution of 'Solvable model of a spin glass'. Philosophical magazine , 35 (3) , 593-601. https://doi.org/10.1080/14786437708235992

Identifiers

DOI
10.1080/14786437708235992