Cumulative overlap distribution function in realistic spin glasses



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Billoire, A. and Maiorano, A. and Marinari, E. and Martín Mayor, Víctor and Yllanes, D. (2014) Cumulative overlap distribution function in realistic spin glasses. Physical review B, 90 (9). ISSN 1098-0121

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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.

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© 2014 American Physical Society. We thank the Janus Collaboration for allowing us to use their EAI data. The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Grant Agreement No. 247328. V.M.-M. and D.Y. acknowledge support from MINECO (Spain), Contract No. FIS2012-35719-C02.

Uncontrolled Keywords:Parisi ultrametricity; Renormalization-group; Temperature chaos; Ordered phase; Mean-field; States; Behavior; Models; Systems; Janus.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45079
Deposited On:22 Nov 2017 11:28
Last Modified:11 Dec 2017 11:45

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