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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 replica symmetry breaking--like and droplet-like behavior of the spin-glass phase. Our results are in agreement with a replica symmetry breaking--like behavior for the 3D Edwards-Anderson model.
Billoire et al. (Mon,) studied this question.
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