Correlation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions

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dc.creatorKatzgraber, Helmut G.
dc.creatorLee, L. W.
dc.creatorYoung, A. P.
dc.date2004-02-02
dc.date2004-07-26
dc.date.accessioned2026-07-07T06:27:18Z
dc.date.available2026-07-07T06:27:18Z
dc.descriptionWe study the correlation length of the two-dimensional Ising spin glass with a Gaussian distribution of interactions, using an efficient Monte Carlo algorithm proposed by Houdayer, that allows larger sizes and lower temperatures to be studied than was possible before. We find that the "effective" value of the bulk correlation length exponent νincreases as the temperature is lowered, and, at low temperatures, apparently approaches -1/θ, where θ~ -0.29 is the stiffness exponent obtained at zero temperature. This means scaling is satisfied and earlier results at higher temperatures that find a smaller value for νare affected by corrections to scaling.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0402037
dc.identifierhttp://arxiv.org/abs/cond-mat/0402037
dc.identifierPhys. Rev. B 70, 014417 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.014417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97376
dc.subjectDisordered Systems and Neural Networks
dc.titleCorrelation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions
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