Micromagnetic simulations of spinel ferrite particles

TL;DR

This study uses micromagnetic simulations to analyze the magnetization response of various spinel ferrite particles at GHz frequencies, revealing confined spin waves and the impact of dipolar interactions on resonance behavior.

Contribution

It provides the first detailed 3D micromagnetic simulation analysis of spinel ferrite particles' GHz response, including effects of composition and particle interactions.

Findings

Confined spin waves observed in all simulations.

Complex resonance behavior near main peak for Mg and Cu ferrites.

Dipolar interactions significantly alter resonance peaks in particle arrays.

Abstract

This paper presents the results of simulations of the magnetization field {\it ac} response (at $2$ to $12$ GHz) of various submicron ferrite particles (cylindrical dots). The ferrites in the present simulations have the spinel structure, expressed here by M$_{1-n}$Zn$_{n}$Fe$_2$O$_4$ (where M stands for a divalent metal), and the parameters chosen were the following: (a) for $n=0$: M = \{ Fe, Mn, Co, Ni, Mg, Cu \}; (b) for $n=0.1$: M = \{ Fe, Mg \} (mixed ferrites). These runs represent full 3D micromagnetic (one-particle) ferrite simulations. We find evidences of confined spin waves in all simulations, as well as a complex behavior nearby the main resonance peak in the case of the M = \{ Mg, Cu \} ferrites. A comparison of the $n=0$ and $n=0.1$ cases for fixed M reveals a significant change in the spectra in M = Mg ferrites, but only a minor change in the M = Fe case. An additional larger scale simulation of a $3$ by $3$ particle array was performed using similar conditions of the Fe$_3$O$_4$ (magnetite; $n=0$, M = Fe) one-particle simulation. We find that the main resonance peak of the Fe$_3$O$_4$ one-particle simulation is disfigured in the corresponding 3 by 3 particle simulation, indicating the extent to which dipolar interactions are able to affect the main resonance peak in that magnetic compound.