# Low-impedance superconducting microwave resonators for strong coupling to small magnetic mode volumes

## TL;DR

This paper demonstrates low-impedance superconducting microwave resonators that enable strong coupling to small magnetic volumes, reducing the number of spins involved while maintaining coupling strength, opening avenues for spin torque applications.

## Contribution

Introduction of low-impedance resonators to achieve strong coupling with significantly fewer spins in small magnetic volumes.

## Key findings

- Reduced the number of participating spins by two orders of magnitude.
- Maintained strong coupling strength despite smaller magnetic volumes.
- Potential for spin orbit torque applications with high current densities.

## Abstract

Recent experiments on strongly coupled microwave and ferromagnetic resonance modes have focused on large volume bulk crystals such as yttrium iron garnet, typically of millimeter-scale dimensions. We extend these experiments to lower volumes of magnetic material by exploiting low-impedance lumped-element microwave resonators. The low impedance equates to a smaller magnetic mode volume, which allows us to couple to a smaller number of spins in the ferromagnet. Compared to previous experiments, we reduce the number of participating spins by two orders of magnitude, while maintaining the strength of the coupling rate. Strongly coupled devices with small volumes of magnetic material may allow the use of spin orbit torques, which require high current densities incompatible with existing structures.