Externally-driven transmission and collisions of domain walls in ferromagnetic wires

Abstract

Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) equation of a one-dimensional ferromagnet including an external magnetic field and spin-polarized electric current are found using the Hirota bilinearization method. A standard approach to solve the Landau-Lifshitz equation (without the Gilbert term) is modified in order to treat the dissipative dynamics. I establish the relations between the spin interaction parameters (the constants of exchange, anisotropy, dissipation, external-field intensity, and electric-current intensity) and the domain-wall parameters (width and velocity) and compare them to the results of the Walker approximation and micromagnetic simulations. The domain-wall motion driven by a longitudinal external field is analyzed with especial relevance to the field-induced collision of two domain walls. I determine the result of such a collision (which is found to be the elastic one) on the domain-wall parameters below and above the Walker breakdown (in weak- and strong-field regimes). Single-domain-wall dynamics in the presence of an external transverse field is studied with relevance to the challenge of increasing the domain-wall velocity below the breakdown.

References in corpus (6)

• Fractional vortices and composite domain walls in flat nanomagnets
• Understanding of complex periodic transformations of moving domain walls in magnetic nanostripes
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Adiabatic Domain Wall Motion and Landau-Lifshitz Damping
• Enhancing Domain Wall Speed in Nanowires with Transverse Magnetic Fields
• Externally-driven collisions of domain walls in bistable systems near criticality

Cited by in corpus (5)

• Chirality Sensitive Domain Wall Motion in Spin-Orbit Coupled Ferromagnets
• Domain-wall complexes in ferromagnetic stripes
• Domain-wall-assisted giant magnetoimpedance of thin-wall ferromagnetic nanotubes
• Externally-driven transformations of vortex textures in flat submicrometer magnets
• Externally-driven collisions of domain walls in bistable systems near criticality