Annihilation of Domain Walls in a Ferromagnetic Wire

Abstract

We study the annihilation of topological solitons in the simplest setting: a one-dimensional ferromagnet with an easy axis. We develop an effective theory of the annihilation process in terms of four collective coordinates: two zero modes of the translational and rotational symmetries $Z$ and $\Phi$, representing the average position and azimuthal angle of the two solitons, and two conserved momenta $\zeta$ and $\phi$, representing the relative distance and twist. Comparison with micromagnetic simulations shows that our approach captures well the essential physics of the process.

7 pages, 2 figures

References in corpus (7)

• Dynamics of domain walls in magnetic nanostrips
• Inertia and chiral edge modes of a skyrmion magnetic bubble
• Staggered Dynamics in Antiferromagnets by Collective Coordinates
• Propulsion of a domain wall in an antiferromagnet by magnons
• Dynamics of a vortex domain wall in a magnetic nanostrip: an application of the collective coordinate approach
• The Intrinsic Magnetization of Antiferromagnetic Textures
• Landau-Lifshitz theory of the thermomagnonic torque

Cited by in corpus (7)

• Magnetic texture based magnonics
• Characterizing breathing dynamics of magnetic (anti-)skyrmions within the Hamiltonian formalism
• Spin-transfer torque-driven motion, deformation, and instabilities of magnetic skyrmions at high currents
• Annihilation of topological solitons in magnetism with spin wave burst finale: The role of nonequilibrium electrons causing nonlocal damping and spin pumping over ultrabroadband frequency range
• Facilitating domain wall injection in magnetic nanowires by electrical means
• Unidirectional gliding of a cycloidal spin structure by an AC magnetic field
• Effect of presence of rigid impurities in a system of annihilating domain walls with dynamic bias