English

The cumulative overlap distribution function in realistic spin glasses

Disordered Systems and Neural Networks 2014-09-16 v2 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1406.1639,
  title  = {The cumulative overlap distribution function in realistic spin glasses},
  author = {A. Billoire and A. Maiorano and E. Marinari and V. Martin-Mayor and D. Yllanes},
  journal= {arXiv preprint arXiv:1406.1639},
  year   = {2014}
}

Comments

Version accepted in PRB. 12 pages, 10 figures

R2 v1 2026-06-22T04:32:28.038Z