Hydrodynamic theory of coupled current and magnetization dynamics in spin-textured ferromagnets

Abstract

We develop the hydrodynamical theory of collinear spin currents coupled to magnetization dynamics in metallic ferromagnets. The collective spin density couples to the spin current through a U(1) Berry-phase gauge field determined by the local texture and dynamics of the magnetization. We determine phenomenologically the dissipative corrections to the equation of motion for the electronic current, which consist of a dissipative spin-motive force generated by magnetization dynamics and a magnetic texture-dependent resistivity tensor. The reciprocal dissipative, adiabatic spin torque on the magnetic texture follows from the Onsager principle. We investigate the effects of thermal fluctuations and find that electronic dynamics contribute to a nonlocal Gilbert damping tensor in the Landau-Lifshitz-Gilbert equation for the magnetization. Several simple examples, including magnetic vortices, helices, and spirals, are analyzed in detail to demonstrate general principles.

14 pages, 4 figures

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• Dynamics of Antiferromagnets Driven by Spin Current
• Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
• Electron Dynamics in Slowly Varying Antiferromagnetic Texture
• Magnetization Dissipation in Ferromagnets from Scattering Theory
• Angular and Linear Momentum of Excited Ferromagnets
• Spin-transfer mechanism for magnon-drag thermopower
• Self-consistent calculation of spin transport and magnetization dynamics
• Quantum kinetic equation in phase-space textured multiband systems
• Topological transport of deconfined hedgehogs in magnets
• Topological Transport of Vorticity in Heisenberg Magnets
• Dynamic Feedback in Ferromagnet/Spin Hall Metal Heterostructures
• Spin superfluidity and magnon BEC
• Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
• Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure
• Dissipative dynamics of magnetic solitons in metals
• Roles of chiral renormalization on magnetization dynamics in chiral magnets
• Magnon-induced non-Markovian friction of a domain wall in a ferromagnet
• Energy storage in magnetic textures driven by vorticity flow
• Anomalous Feedback and Negative Domain Wall Resistance
• Current-driven motion of magnetic topological defects in ferromagnetic superconductors