The cumulative overlap distribution function in realistic spin glasses

Abstract

We use a sample-dependent analysis, based on medians and quantiles, to analyze the behavior of the overlap probability distribution of the Sherrington-Kirkpatrick and 3D Edwards-Anderson models of Ising spin glasses. We find that this approach is an effective tool to distinguish between RSB-like and droplet-like behavior of the spin-glass phase. Our results are in agreement with a RSB-like behavior for the 3D Edwards-Anderson model.

Version accepted in PRB. 12 pages, 10 figures

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• Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
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• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• Explicit generation of the branching tree of states in spin glasses
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman