Gauge fields and related forces in antiferromagnetic solitons

Abstract

We derive equations of motion for topological solitons in antiferromagnets under the combined action of perturbations such as an external magnetic field and torque-generating electrical current. Aside from conservative forces, such perturbations generate an effective "magnetic field" exerting a gyrotropic force on the soliton and an induced "electric field" if the perturbation is time-dependent. We apply the general formalism to the cases of a domain wall and of a vortex. An antiferromagnetic vortex can be effectively moved by combined applications of a magnetic field and an electric current.

5 pages, 1 figure

References in corpus (9)

• Antiferromagnetic spintronics
• Microscopic approach to current-driven domain wall dynamics
• Dynamics of domain walls in magnetic nanostrips
• Phenomenology of Current-Induced Dynamics in Antiferromagnets
• Staggered Dynamics in Antiferromagnets by Collective Coordinates
• Propulsion of a domain wall in an antiferromagnet by magnons
• The Intrinsic Magnetization of Antiferromagnetic Textures
• Magnetoelectric domain wall dynamics and its implications for magnetoelectric memory
• Manipulating antiferromagnets with magnetic fields: ratchet motion of multiple domain walls induced by asymmetric field pulses

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• Zeeman term for the Néel vector in a two sublattice antiferromagnet using Dzyaloshinsky-Moriya interaction and magnetic field
• Numerical Computation of Spin-Transfer Torques for Antiferromagnetic Domain walls
• Strain tuning the magnetic and transport properties of Mn${}_3$Ge
• Intrinsic chiral field as vector potential of the magnetic current in the zig-zag lattice of magnetic dipoles
• Signal detection based on the chaotic motion of an antiferromagnetic domain wall
• Propagation of Spin Waves Through an Interface Between Ferromagnetic and Antiferromagnetic Materials
• Magnetic Solitons due to interfacial chiral interactions
• Current-driven dynamics of antiferromagnetic domain-wall skyrmions
• Tunable Ultrafast Dynamics of Antiferromagnetic Vortices in Nanoscale Dots
• Quantum Interactions of Topological Solitons from Electrodynamics
• 3D Analytical Model of Skyrmions and Skyrmion-like Structures in a Two-sublattice Antiferromagnet with Dzyaloshinskii-Moriya Interaction