The 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 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. 
A. Billoire, A. Maiorano, E. Marinari, V. Martin-Mayor and D. Yllanes
cond-mat.dis-nn cond-mat.stat-mech