# Dynamics of ferromagnetic domain walls under extreme fields

## TL;DR

This paper discovers a new stable regime for ferromagnetic domain wall motion under extreme magnetic fields, revealing a nonplanar, precessing domain wall solution that remains stable over long distances despite thermal noise.

## Contribution

It introduces a novel stable solution to the Landau-Lifshitz-Gilbert equation for domain walls under high fields, expanding understanding of magnetic dynamics in ferromagnetic nanowires.

## Key findings

- New stable domain wall solution under strong fields
- Domain walls can propagate over 500 times the width before fluctuations dominate
- Thermal noise has limited impact on the long-distance stability of the solution

## Abstract

We report the existence of a new regime for domain wall motion in uniaxial and near-uniaxial ferromagnetic nanowires, characterised by applied magnetic fields sufficiently strong that one of the domains becomes unstable. There appears a new stable solution of the Landau-Lifshitz-Gilbert equation, describing a nonplanar domain wall moving with constant velocity and precessing with constant frequency. Even in the presence of thermal noise, the new solution can propagate for distances on the order of 500 times the field-free domain wall width before fluctuations in the unstable domain become appreciable.