On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance

TL;DR

This paper investigates the frequency-dependent scaling of alternating susceptibility in spin glasses at criticality, proposing an extended scaling form that aligns with simulations, theoretical predictions, and experimental observations.

Contribution

It introduces an extended $$-scaling form for alternating susceptibility and demonstrates its validity through simulations and theoretical calculations based on local scale-invariance.

Findings

Simulation data agree with the new scaling form.

Scaling functions match those predicted by local scale-invariance.

Qualitative agreement with experimental data is observed.

Abstract

The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the three-dimensional Ising spin glass agree with this new scaling form and moreover reproduce well the scaling functions explicitly calculated for systems satisfying local scale-invariance. There is also a qualitative agreement with existing experimental data.