# Stochastic ejection of nanocontact droplet solitons via drift instability

## TL;DR

This paper analyzes the stochastic ejection of magnetic droplet solitons due to drift instability in ferromagnetic thin films, providing a theoretical framework to predict ejection rates and stability limits under thermal fluctuations.

## Contribution

It introduces a novel theoretical approach combining soliton perturbation and large deviation theory to quantify droplet ejection rates and paths in thermal environments.

## Key findings

- Ejection rate depends on thermal fluctuations and device parameters.
- Identifies most likely ejection trajectories of droplets.
- Provides a lower bound on droplet stability at finite temperature.

## Abstract

The magnetic droplet soliton is a large amplitude, coherently precessing wave state that exists in ferromagnetic thin films with perpendicular magnetic anisotropy. To effectively sustain a droplet, magnetic damping can be locally compensated in a nanocontact region that imparts spin-transfer torque; this has been successfully deployed in experiment to directly image the droplet and probe its dynamics electrically. However, theory predicts and experiments indicate the existence of a drift instability whereby the droplet is ejected from the spin-transfer-torque-active region and subsequently decays, an effect that may be enhanced or possibly induced by thermal fluctuations. Using soliton perturbation theory and large deviation theory, this work determines the soliton ejection rate and the most likely path an ejected soliton tracks in the presence of thermal fields. These results lead to an effective lower bound on the stability of magnetic droplet solitons in spin-transfer torque nanocontact devices operating at finite temperature and point to ways in which droplets can be made more robust.