Comment on "Evidence of Non-Mean-Field-Like Low-Temperature Behavior in the Edwards-Anderson Spin-Glass Model"

TL;DR

This paper clarifies that the low-temperature behavior of the 3D Edwards-Anderson spin-glass model aligns with replica symmetry breaking theory, countering previous claims of non-mean-field-like behavior based on earlier data.

Contribution

It provides a reanalysis with larger data sets, demonstrating that the EA model's behavior is consistent with RSB predictions, clarifying prior conflicting interpretations.

Findings

EA model behavior matches RSB theory

Larger data sets clarify overlap distribution interpretations

Counteracts previous claims of non-mean-field behavior

Abstract

A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204 (2012), arXiv:1206:0783] compares the low-temperature phase of the 3D Edwards-Anderson (EA) model to its mean-field counterpart, the Sherrington-Kirkpatrick (SK) model. The authors study the overlap distributions P_J(q) and conclude that the two models behave differently. Here we notice that a similar analysis using state-of-the-art, larger data sets for the EA model (generated with the Janus computer) leads to a very clear interpretation of the results of Yucesoy et al., showing that the EA model behaves as predicted by the replica symmetry breaking (RSB) theory.