A self-consistent Ornstein-Zernike approximation for the Edwards-Anderson spin glass model

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dc.creatorKierlik, E.
dc.creatorRosinberg, M. L.
dc.creatorTarjus, G.
dc.date1999-09-13
dc.date.accessioned2026-07-07T03:14:32Z
dc.date.available2026-07-07T03:14:32Z
dc.descriptionWe propose a self-consistent Ornstein-Zernike approximation for studying the Edwards-Anderson spin glass model. By performing two Legendre transforms in replica space, we introduce a Gibbs free energy depending on both the magnetizations and the overlap order parameters. The correlation functions and the thermodynamics are then obtained from the solution of a set of coupled partial differential equations. The approximation becomes exact in the limit of infinite dimension and it provides a potential route for studying the stability of the high-temperature phase against replica-symmetry breaking fluctuations in finite dimensions. As a first step, we present the numerical predictions for the freezing temperature and the zero-field thermodynamic properties above freezing as a function of dimensionality.
dc.description19 pages, 1 figure. submitted to J. Stat. Phys
dc.identifierhttps://arxiv.org/abs/cond-mat/9909180
dc.identifierhttp://arxiv.org/abs/cond-mat/9909180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29702
dc.subjectDisordered Systems and Neural Networks
dc.titleA self-consistent Ornstein-Zernike approximation for the Edwards-Anderson spin glass model
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