Abstract

Field-driven domain wall (DW) motion in ferromagnetic nanowires with easy- and hard-axis anisotropies was studied theoretically and numerically in the presence of the bulk Dzyaloshinskii-Moriya interaction (DMI) based on the Landau-Lifshitz-Gilbert equation. We propose a new trial function and offer an exact solution for DW motion along a uniaxial nanowire driven by an external magnetic field. A new strategy was suggested to speed up DW motion in a uniaxial magnetic nanowire with large DMI parameters. In the presence of hard-axis anisotropy, we find that the breakdown field and velocity of DW motion was strongly affected by the strength and sign of the DMI parameter under external fields. This work may be useful for future magnetic information storage devices based on DW motion.

Highlights

  • Field-driven domain wall (DW) motion in ferromagnetic nanowires with easy- and hard-axis anisotropies was studied theoretically and numerically in the presence of the bulk Dzyaloshinskii-Moriya interaction (DMI) based on the Landau-Lifshitz-Gilbert equation

  • The DW average velocity was found to be proportionally to the external fields as the DW width depends on the strength of the DMI constant D

  • A new strategy to speed up the DW motion in a uniaxial magnetic nanowire was suggested by increasing the DMI parameter which might be realized through some methods, for example, by interface engineering[30,32]

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Summary

Introduction

Field-driven domain wall (DW) motion in ferromagnetic nanowires with easy- and hard-axis anisotropies was studied theoretically and numerically in the presence of the bulk Dzyaloshinskii-Moriya interaction (DMI) based on the Landau-Lifshitz-Gilbert equation. Our theoretical results had been verified by solving the Landau-Lifshitz-Gilbert (LLG) equation numerically in a one-dimensional (1D) spin chain model This discovery could be some help for future magnetic DW information storage devices. The continuous free energy density (per cross-sectional area) for the wire under an external field H is

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