On the Dynamics of the 4d Spin Glass in a magnetic field

TL;DR

This paper investigates the behavior of a four-dimensional Gaussian spin glass under a magnetic field, revealing that its overlap distribution aligns with mean-field replica symmetry breaking predictions and examining fluctuation-dissipation theorem violations.

Contribution

It provides numerical evidence that the 4d spin glass's overlap distribution matches mean-field RSB structure and analyzes fluctuation-dissipation violations in a magnetic field.

Findings

Overlap distribution resembles mean-field RSB predictions

Fluctuation-dissipation theorem is violated in magnetic field

Numerical simulations support theoretical models

Abstract

We study the four dimensional Gaussian spin glass in presence of a magnetic field. Using off-equilibrium numerical simulations we have found that the probability distribution of the overlaps is built in the same way as that of the Mean Field approximation with replica symmetry breaking. Finally we have studied the violation of the fluctuation-dissipation theorem in presence of magnetic field.