Speed of field driven domain walls in nanowires with large transverse magnetic anisotropy

Abstract

Recent analytical and numerical work on field driven domain wall propagation in nanowires has shown that for large transverse anisotropy and sufficiently large applied fields the Walker profile becomes unstable before the breakdown field, giving way to a slower stationary domain wall. We perform an asymptotic expansion of the Landau Lifshitz Gilbert equation for large transverse magnetic anisotropy and show that the asymptotic dynamics reproduces this behavior. At low applied field the speed increases linearly with the field and the profile is the classic Landau profile. Beyond a critical value of the applied field the domain wall slows down. The appearance of a slower domain wall profile in the asymptotic dynamics is due to a transition from a pushed to a pulled front of a reaction diffusion equation.

8 pages

References in corpus (2)

• The 2014 Magnetism Roadmap
• Spin Wave Emission in Field-Driven Domain Wall Motion

Cited by in corpus (4)

• Dzyaloshinskii-Moriya domain walls in magnetic nanotubes
• Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation
• Domain wall dynamics for an in-plane magnetized thin film with large perpendicular hard axis anisotropy including Dzyaloshinskii-Moriya interaction
• Dynamics of ferromagnetic domain walls under extreme fields