The cumulative overlap distribution function in realistic spin glasses
A. Billoire, A. Maiorano, E. Marinari, V. Martin-Mayor, D. Yllanes
TL;DR
This paper introduces a sample-dependent analysis method using medians and quantiles to study the overlap distribution in spin glasses, effectively distinguishing between RSB-like and droplet-like phases, and finds RSB-like behavior in the 3D Edwards-Anderson model.
Contribution
It presents a novel sample-dependent analysis approach for overlap distributions, providing clearer distinctions between different spin glass phases.
Findings
Effective differentiation between RSB-like and droplet-like behaviors.
Supports RSB-like behavior in the 3D Edwards-Anderson model.
Method enhances analysis of spin glass phase characteristics.
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.
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