Measurement of the dynamical dipolar coupling in a pair of magnetic nano-disks using a Ferromagnetic Resonance Force Microscope

TL;DR

This study uses a ferromagnetic resonance force microscope to precisely measure the dynamical dipolar coupling between two magnetic nano-disks, revealing mode hybridization and quantifying interaction strength as a function of separation.

Contribution

It introduces a novel experimental approach to directly measure and analyze the dynamical dipolar coupling in coupled nano-disks using f-MRFM.

Findings

Measured frequency splitting matches theoretical predictions.

Quantified the dipolar coupling strength as a function of disk separation.

Observed mode hybridization and anti-crossing phenomena.

Abstract

We perform an extensive experimental spectroscopic study of the collective spin-wave dynamics occurring in a pair of magnetic nano-disks coupled by the magneto-dipolar interaction. For this, we take advantage of the stray field gradient produced by the magnetic tip of a ferromagnetic resonance force microscope (f-MRFM) to continuously tune and detune the relative resonance frequencies between two adjacent nano-objects. This reveals the anti-crossing and hybridization of the spin-wave modes in the pair of disks. At the exact tuning, the measured frequency splitting between the binding and anti-binding modes precisely corresponds to the strength of the dynamical dipolar coupling $\Omega$. This accurate f-MRFM determination of $\Omega$ is measured as a function of the separation between the nano-disks. It agrees quantitatively with calculations of the expected dynamical magneto-dipolar interaction in our sample.