Cumulative overlap distribution function in realistic spin glasses

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 symm...

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Bibliographic Details
Authors: Billoire, A., Maiorano, A., Marinari, E., Martín Mayor, Víctor, Yllanes, D.
Format: article
Publication Date:2014
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/35533
Online Access:https://hdl.handle.net/20.500.14352/35533
Access Level:Open access
Keyword:53
Parisi ultrametricity
Renormalization-group
Temperature chaos
Ordered phase
Mean-field
States
Behavior
Models
Systems
Janus.
Física-Modelos matemáticos
Description
Summary: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.