Comment on "Ising Spin Glasses in a Magnetic Field"

TL;DR

This paper discusses the behavior of 3D Edwards-Anderson spin glasses in a magnetic field, comparing different theoretical approaches and suggesting compatibility with Replica Symmetry Breaking theory based on new data.

Contribution

It challenges previous interpretations by showing that the new method aligns with Replica Symmetry Breaking theory rather than the droplet model.

Findings

The new method is compatible with RSB theory.

Previous results suggested droplet behavior, but new data supports RSB.

The effective critical field $B_c$ varies with lattice size $L$.

Abstract

In ref. cond-mat/9811419 Houdayer and Martin analyze the T=0 3d EA spin glass with a magnetic field $B$. By using a new, powerful method, they determine an effective critical field $B_c$ as a function of the lattice size $L$. They use their results to deduce that the model is behaving like in the droplet approach and not like the mean-field theory. We show here, by using some unpublished data, that this very interesting method and numerical results are completely compatible with the behavior implied by the Replica Symmetry Breaking theory.