Scaling law describes the spin-glass response in theory, experiments and simulations

TL;DR

This paper introduces a new scaling law that accurately describes the spin-glass response across experiments and simulations, resolving previous discrepancies related to external fields and temperature proximity.

Contribution

The authors develop and validate a comprehensive scaling law that accounts for magnetic field effects and correlation length dynamics in spin glasses, unifying theory, experiments, and simulations.

Findings

Scaling law accurately fits experimental data from CuMn crystals.

Scaling law successfully describes simulation results from Janus II.

Discrepancies in previous analyses are resolved by the new law.

Abstract

The correlation length $\xi$, a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis methods lead to discrepancies either for large external fields or close to the glass temperature. We solve this problem by introducing a scaling law that takes into account both the magnetic field and the time-dependent spin-glass correlation length. The scaling law is successfully tested against experimental measurements in a CuMn single crystal and against large-scale simulations on the Janus II dedicated computer.