Transverse spin diffusion in ferromagnets

Abstract

We discuss the dissipative diffusion-type term of the form $\mathbf{m}\times {\nabla }^2{\partial }_t\mathbf{m}$ in the phenomenological Landau-Lifshitz equation of ferromagnetic precession, which describes enhanced Gilbert damping of finite-momentum spin waves. This term arises physically from itinerant-electron spin flows through a perturbed ferromagnetic configuration and can be understood to originate in the ferromagnetic spin pumping in the continuum limit. We develop a general phenomenology as well as provide microscopic theory for the Stoner and s-d models of ferromagnetism, taking into account disorder and electron-electron scattering. The latter is manifested in our problem through the Coulomb drag between the spin bands. The spin diffusion is identified in terms of the transverse spin conductivity, in analogy with the Einstein relation in the kinetic theory.

11 pages, 2 figures

References in corpus (12)

• Nonlocal magnetization dynamics in ferromagnetic heterostructures
• Dynamic exchange coupling in magnetic bilayers
• Spin currents and spin dynamics in time-dependent density-functional theory
• Large-amplitude coherent spin waves exited by spin-polarized current in nanoscale spin valves
• Dynamic stiffness of spin valves
• Spin dynamics from time-dependent spin density-functional theory
• Inhomogeneous Gilbert damping from impurities and electron-electron interactions
• Current-induced noise and damping in non-uniform ferromagnets
• Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction
• Transverse spin dynamics in a spin-polarized Fermi liquid
• Theory of transverse spin dynamics in a polarized Fermi liquid and an itinerant ferromagnet
• Low-Temperature Spin Diffusion in a Spin-Polarized Fermi Gas

Cited by in corpus (29)

• Radiative damping in wave guide based FMR measured via analysis of perpendicular standing spin waves in sputtered Permalloy films
• Mode- and size-dependent Landau-Lifshitz damping in magnetic nanostructures: Evidence for non-local damping
• Relativistic theory of magnetic inertia in ultrafast spin dynamics
• Electron-Magnon Scattering in Magnetic Heterostructures Far Out-of-Equilibrium
• Wavenumber-dependent Gilbert damping in metallic ferromagnets
• Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
• Current-induced spin wave excitation in Pt|YIG bilayer
• Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
• Breaking of Galilean invariance in the hydrodynamic formulation of ferromagnetic thin films
• Spin-orbit coupled transport and spin torque in a ferromagnetic heterostructure
• Gilbert damping in noncollinear ferromagnets
• Hydrodynamic theory of coupled current and magnetization dynamics in spin-textured ferromagnets
• Transverse dynamical magnetic susceptibilities from regular static density functional theory: Evaluation of damping and g-shifts of spin-excitations
• Phenomenological description of the nonlocal magnetization relaxation in magnonics, spintronics, and domain-wall dynamics
• Spintronics meets nonadiabatic molecular dynamics: Geometric spin torque and damping on noncollinear classical magnetism due to electronic open quantum system
• Damping of Confined Modes in a Ferromagnetic Thin Insulating Film: Angular Momentum Transfer Across a Nanoscale Field-defined Interface
• Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques
• Influence of nonlocal damping on the field-driven domain wall motion
• Magnon spectrum of altermagnets beyond linear spin wave theory: Magnon-magnon interactions via time-dependent matrix product states vs. atomistic spin dynamics
• Microscopic Theory of Magnon-Drag Thermoelectric Transport in Ferromagnetic Metals
• 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
• Gilbert damping in metallic ferromagnets from Schwinger-Keldysh field theory: Intrinsically nonlocal and nonuniform, and made anisotropic by spin-orbit coupling
• Gilbert damping in non-collinear magnetic system
• Magnetization relaxation and geometric forces in a Bose ferromagnet
• Nonlocal damping of spin waves in a magnetic insulator induced by normal, heavy, or altermagnetic metallic overlayer: A Schwinger-Keldysh field theory approach
• Spin-wave-induced spin torque in Rashba spin-orbit coupling system
• Quantum noise in the spin transfer torque effect
• Magnon-induced long-range correlations and their neutron-scattering signature in quantum magnets
• Spin transport through a nanojunction with a precessing anisotropic molecular spin: Quantum interference and spin-transfer torque