2014/06/30 by A. Billoire, A. Maiorano, Enzo Marinari +5
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Condensed matter physics #Distribution (mathematics) #Geometry #Ising model #Ising spin #Mathematical analysis #Mathematics #Physics #Quantile #Quantum mechanics #Replica #Spin glass #Statistical physics #Statistics #Symmetry (geometry) #Symmetry breaking #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.90.094201
published as Phys. Rev. B 90, 094201 (2014) · Version accepted in PRB. 12 pages, 10 figures
arxiv created 2014/09/01 · openalex publication_date 2014/09/08 · arxiv updated 2014/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.