Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity

Abstract

We derive an approximate expression for the Gilbert damping coefficient α_G of itinerant electron ferromagnets which is based on their description in terms of spin-density-functional-theory (SDFT) and Kohn-Sham quasiparticle orbitals. We argue for an expression in which the coupling of magnetization fluctuations to particle-hole transitions is weighted by the spin-dependent part of the theory's exchange-correlation potential, a quantity which has large spatial variations on an atomic length scale. Our SDFT result for α_G is closely related to the previously proposed spin-torque correlation-function expression.

6 pages, submitted to Phys. Rev. B

References in corpus (9)

• Spin Transfer Torques
• Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Dichroic f-sum rule and the orbital magnetization of crystals
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Functional Keldysh Theory of Spin Torques
• Gilbert Damping in Conducting Ferromagnets II: Model Tests of the Torque-Correlation Formula
• Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction

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• Direct and inverse spin-orbit torques
• Relaxation Mechanism for Ordered Magnetic Materials
• Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
• Gilbert Damping in Conducting Ferromagnets II: Model Tests of the Torque-Correlation Formula
• Transverse dynamical magnetic susceptibilities from regular static density functional theory: Evaluation of damping and g-shifts of spin-excitations
• Nonlocal torque operators in ab initio theory of the Gilbert damping in random ferromagnetic alloys
• The absence of intraband scattering in a consistent theory of Gilbert damping in metallic ferromagnets
• Influence of nonlocal damping on the field-driven domain wall motion
• Magnetization dynamics and damping due to electron-phonon scattering in a ferrimagnetic exchange model
• Comparative study of methodologies to compute the intrinsic Gilbert damping: interrelations, validity and physical consequences
• Gilbert damping in metallic ferromagnets from Schwinger-Keldysh field theory: Intrinsically nonlocal and nonuniform, and made anisotropic by spin-orbit coupling
• Influence of non-local damping on magnon properties of ferromagnets
• Another view on Gilbert damping in two-dimensional ferromagnets
• Effect of vertex corrections on the enhancement of Gilbert damping in spin pumping into a two-dimensional electron gas
• Resonance Damping in Ferromagnets and Ferroelectrics
• Magnetization Dissipation in the Ferromagnetic Semiconductor (Ga,Mn)As
• Microscopic theory of spin friction and dissipative spin dynamics
• Emerging magnetic nutation