AC susceptibility of an assembly of nanomagnets: combined effects of surface anisotropy and dipolar interactions

TL;DR

This study analyzes how surface anisotropy and dipolar interactions influence the AC susceptibility of nanomagnet assemblies, providing insights into relaxation dynamics and potential ways to control magnetic response.

Contribution

It introduces a combined theoretical framework to compute relaxation rates considering both surface anisotropy and dipolar interactions in nanomagnet assemblies.

Findings

Surface anisotropy shifts the susceptibility maximum to higher temperatures.

Surface anisotropy can mitigate the effects of dipolar interactions.

A semi-analytical expression for effective temperature is derived.

Abstract

We compute the AC susceptibility of a weakly dipolar-interacting monodisperse assembly of magnetic nanoclusters with oriented anisotropy. For this purpose we first compute the relaxation rate in a longitudinal magnetic field of a single nanomagnet taking account of both dipolar interactions in the case of dilute assemblies and surface anisotropy. We then study the behavior of the real and imaginary components of the AC susceptibility as functions of temperature, frequency, surface anisotropy and inter-particle interactions. We find that the surface anisotropy induces an upward shift of the temperature at the maximum of the AC susceptibility components and that its effects may be tuned so as to screen out the effects of interactions. The phenomenological Vogel-Fulcher law for the effect of dipolar interaction on the relaxation rate is revisited within our formalism and a semi-analytical expression is given for the effective temperature is given in terms of inter alia the applied field, surface anisotropy and dipolar interaction.