Controlling energy transfer time between two coupled magnetic vortex-state disks

TL;DR

This study demonstrates that in-plane uniaxial anisotropy can significantly reduce energy transfer time between coupled magnetic vortex disks, with up to 70% improvement, through analytical and micromagnetic analysis.

Contribution

It introduces an analytical model linking uniaxial anisotropy to energy transfer dynamics in coupled vortex disks, validated by micromagnetic simulations.

Findings

IPUA increases interaction strength between disks.

Energy transfer time decreases by up to 70%.

Analytical results agree with simulations.

Abstract

The influence of the in-plane uniaxial anisotropy (IPUA) in the mutual energy transfer time ($\tau$) between two identical coupled nanodisks was studied. Using an analytical dipolar model we obtained the interactions between the disks along x and y directions (the coupling integrals) as a function of the uniaxial anisotropy constant (K$_{\sigma}$) and the distance. We find that the IPUA increases the interaction between the disks allowing shorter energy transfer times. For our range of K$_{\sigma}$ values we get a drop in the values of $\tau$ of up to about 70$\%$. From the lagrangian of the system we obtained the equations of motion and the coupling frequencies of the dynamic system as a function of distance and K$_{\sigma}$. The coupling frequencies were also obtained from micromagnetic simulations. Our results of the simulations are in agreement with the analytical results.