Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models

摘要: Using Monte Carlo simulations, we study in detail the overlap distribution for individual samples several spin-glass models including infinite-range Sherrington-Kirkpatrick model, short-range Edwards-Anderson three and four space dimensions, one-dimensional long-range with diluted power-law interactions. We different powers as follows: first is approximately equivalent to a model second third mean-field regime. an observable proposed earlier by some of us which aims distinguish "replica symmetry breaking" picture phase from "droplet picture," finding that larger system sizes would be needed unambiguously determine these pictures describes low-temperature state spin glasses best, except described replica breaking. Finally, also median integrated probability typical distribution, observables are not particularly helpful distinguishing breaking droplet pictures.