Another view on Gilbert damping in two-dimensional ferromagnets
arXiv:1807.07897 · doi:10.1038/s41598-018-35517-x
Abstract
A keen interest towards technological implications of spin-orbit driven magnetization dynamics requests a proper theoretical description, especially in the context of a microscopic framework, to be developed. Indeed, magnetization dynamics is so far approached within Landau-Lifshitz-Gilbert equation which characterizes torques on magnetization on purely phenomenological grounds. Particularly, spin-orbit coupling does not respect spin conservation, leading thus to angular momentum transfer to lattice and damping as a result. This mechanism is accounted by the Gilbert damping torque which describes relaxation of the magnetization to equilibrium. In this study we work out a microscopic Kubo-Středa formula for the components of the Gilbert damping tensor and apply the elaborated formalism to a two-dimensional Rashba ferromagnet in the weak disorder limit. We show that an exact analytical expression corresponding to the Gilbert damping parameter manifests linear dependence on the scattering rate and retains the constant value up to room temperature when no vibrational degrees of freedom are present in the system. We argue that the methodology developed in this paper can be safely applied to bilayers made of non- and ferromagnetic metals, e.g., CoPt.
arXiv comment8 pages, 2 figures
References in corpus (33)
- Spintronics: Fundamentals and applications
- Antiferromagnetic spintronics
- Antiferromagnetic spintronics
- Enhanced Gilbert Damping in Thin Ferromagnetic Films
- Spin Transfer Torques
- Spin pumping and magnetization dynamics in metallic multilayers
- Antiferromagnetic opto-spintronics: Part of a collection of reviews on antiferromagnetic spintronics
- Ultra-low magnetic damping of a metallic ferromagnet
- Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations
- Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
- Experimental Investigation of Temperature-Dependent Gilbert Damping in Permalloy Thin Films
- Ab-initio calculation of the Gilbert damping parameter via linear response formalism
- First-principles calculation of the Gilbert damping parameter via the linear response formalism with application to magnetic transition-metals and alloys
- Scaling of intrinsic Gilbert damping with spin-orbital coupling strength
- Damping by slow relaxing rare earth impurities in Ni80Fe20
- Calculating linear response functions for finite temperatures on the basis of the alloy analogy model
- Gilbert Damping in Magnetic Multilayers
- Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles
- A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys
- Low relaxation rate in a low-Z alloy of iron
- Direct and inverse spin-orbit torques
- Spin Orbit Coupling and Spin Waves in Ultrathin Ferromagnets: The Spin Wave Rashba Effect
- Microscopic theory of spin-orbit torques and skyrmion dynamics
- Anomalous Hall effect in a two-dimensional electron gas
- Determination of intrinsic damping of perpendicularly magnetized ultrathin films from time resolved precessional magnetization measurements
- Anomalous Hall effect in 2D Rashba ferromagnet
- Non-local Gilbert damping tensor within the torque-torque correlation model
- Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity
- Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
- Chiral damping, chiral gyromagnetism and current-induced torques in textured one-dimensional Rashba ferromagnets
- Spin pumping and interlayer exchange coupling through palladium
- Spin relaxation torque in metallic ferromagnets
- Origin of intrinsic Gilbert damping