Domain wall motion in ferromagnetic nanowires driven by arbitrary time-dependent fields: An exact result

Abstract

We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case of soft ferromagnetic wires and nanostructures with uniaxial anisotropy. The solution holds for applied fields with arbitrary strength and time dependence. We further extend this solution to applied fields slowly varying in space and to multiple domain walls.

3 pages, 1 figure

References in corpus (5)

• The theory of magnetic field induced domain-wall propagation in magnetic nanowires
• Theoretical limit of the minimal magnetization switching field and the optimal field pulse for Stoner particles
• Field-induced domain wall propagation velocity in magnetic nanowires
• Fast domain wall propagation under an optimal field pulse in magnetic nanowires
• Analytical solution of the equation of motion for a rigid domain wall in a magnetic material with perpendicular anisotropy

Cited by in corpus (16)

• Magnetization Dissipation in Ferromagnets from Scattering Theory
• Domain wall motion in magnetic nanowires: An asymptotic approach
• Statics and field-driven dynamics of transverse domain walls in biaxial nanowires under uniform transverse magnetic fields
• Dzyaloshinskii-Moriya domain walls in magnetic nanotubes
• Fast domain wall propagation in uniaxial nanowires with transverse fields
• Domain wall motion in ferromagnetic nanotubes: Analytic results
• Stability of precessing domain walls in ferromagnetic nanowires
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• Depinning phase transition in two-dimensional clock model with quenched randomness
• Traveling domain walls in chiral ferromagnets
• Patterns formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations
• Inhomogeneous domain walls in spintronic nanowires
• Current-induced instability of domain walls in cylindrical nanowires
• Spin-reorientation critical dynamics in the two-dimensional XY model with a domain wall
• Dynamics of ferromagnetic domain walls under extreme fields
• Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction