Gilbert Damping in Magnetic Multilayers
arXiv:cond-mat/0207471 · doi:10.1103/PhysRevB.67.144418
Abstract
We study the enhancement of the ferromagnetic relaxation rate in thin films due to the adjacent normal metal layers. Using linear response theory, we derive the dissipative torque produced by the s-d exchange interaction at the ferromagnet-normal metal interface. For a slow precession, the enhancement of Gilbert damping constant is proportional to the square of the s-d exchange constant times the zero-frequency limit of the frequency derivative of the local dynamic spin susceptibility of the normal metal at the interface. Electron-electron interactions increase the relaxation rate by the Stoner factor squared. We attribute the large anisotropic enhancements of the relaxation rate observed recently in multilayers containing palladium to this mechanism. For free electrons, the present theory compares favorably with recent spin-pumping result of Tserkovnyak et al. [Phys. Rev. Lett. \textbf{88},117601 (2002)].
1 figure, 5pages
References in corpus (2)
Cited by in corpus (55)
- Roles of non-equilibrium conduction electrons on magnetization dynamics of ferromagnets
- Nonlocal magnetization dynamics in ferromagnetic heterostructures
- Spin Seebeck insulator
- Linear-response theory of spin Seebeck effect in ferromagnetic insulators
- First-principles study of magnetization relaxation enhancement and spin-transfer in thin magnetic films
- Macrospin Models of Spin Transfer Dynamics
- Femtosecond formation dynamics of the spin Seebeck effect revealed by terahertz spectroscopy
- Indirect Exchange and Ruderman-Kittel-Kasuya-Yosida (RKKY) Interactions in Magnetically-Doped Graphene
- Chirality as Generalized Spin-Orbit Interaction in Spintronics
- Effective gauge field theory of spintronics
- Traveling surface spin-wave resonance spectroscopy using surface acoustic waves
- Ultrafast demagnetization in the sp-d model: a theoretical study
- Chiral Pumping of Spin Waves
- Magnetization Dissipation in Ferromagnets from Scattering Theory
- Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
- Dynamics of magnetization coupled to a thermal bath of elastic modes
- Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects
- Dynamic RKKY interaction in graphene
- Electrical Detection of Direct and Alternating Spin Current Injected from a Ferromagnetic Insulator into a Ferromagnetic Metal
- Magnetization damping in a local-density approximation
- Chiral coupling of magnons in waveguides
- A compact apparatus for studies of element and phase-resolved ferromagnetic resonance
- Spin dynamics and relaxation in the classical-spin Kondo-impurity model beyond the Landau-Lifschitz-Gilbert equation
- Nonlocal torque operators in ab initio theory of the Gilbert damping in random ferromagnetic alloys
- Crystal field effects on spin pumping
- Magnon spin current induced by triplet Cooper pair supercurrents
- Consistent microscopic analysis of spin pumping effects
- Pd magnetism induced by indirect interlayer exchange coupling
- Fluctuations of the Magnetization in Thin Films due to Conduction Electrons
- Non-Contact Spin Pumping by Microwave Evanescent Fields
- Fundamentals of magnon-based computing
- Anisotropic superconducting spin transport at magnetic interfaces
- Current-induced non-adiabatic spin torques and domain wall motion with spin relaxation in a ferromagnetic metallic wire
- Quantum Oscillations of Gilbert Damping in Ferromagnetic/Graphene Bilayer Systems
- Intrinsic Damping Phenomena from Quantum to Classical Magnets:An ab-initio Study of Gilbert Damping in Pt/Co Bilayer
- Spontaneous-Symmetry-Breaking Mechanism of Adiabatic Pumping
- Another view on Gilbert damping in two-dimensional ferromagnets
- Accessing long timescales in the relaxation dynamics of spins coupled to a conduction-electron system using absorbing boundary conditions
- Effects of screened Coulomb interaction on spin transfer torque
- Adiabatic limit of RKKY range function in one dimension
- Spin Currents in Metallic Nanostructures; Explicit Calculations
- Absorption of Transverse Spin Current in Ferromagnetic NiCu: Dominance of Bulk Dephasing over Spin-Flip Scattering
- Universal spin wave damping in magnetic Weyl semimetals
- Dynamics of spin relaxation in nonequilibrium magnetic nanojunctions
- Quantum spin pumping mediated by magnon
- General Form of Magnetization Damping: Magnetization dynamics of a spin system evolving nonadiabatically and out of equilibrium
- Spin-wave-induced spin torque in Rashba spin-orbit coupling system
- Spin Pumping, Dissipation, and Direct and Alternating Inverse Spin Hall Effects in Magnetic Insulator-Normal Metal Bilayers
- Enhancement of spin mixing conductance by - orbital hybridization in heavy metals
- The temperature dependence of quantum spin pumping generated using electron spin resonance with three-magnon splittings
- Alternating Current-induced Interfacial Spin-transfer Torque
- Progressive magnetic softening of ferromagnetic layers in multilayer ferromagnet-nonmagnet systems and the role of granularity
- Spin pumping into quantum spin chains
- Crystal orientation dependent spin pumping in Bi0.1Y2.9Fe5O12/Pt interface
- Magnetic precession induced spin accumulation in collinear antiferromagnets