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, A., Maiorano, A., Marinari, E., Martin-Mayor, V., Yllanes, D. (2014). Cumulative overlap distribution function in realistic spin glasses. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS, 90(9) [10.1103/PhysRevB.90.094201].
Cumulative overlap distribution function in realistic spin glasses
Maiorano, A.;
2014-01-01
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 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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https://hdl.handle.net/11365/1126628