Magnetization dynamics and damping due to electron-phonon scattering in a ferrimagnetic exchange model

Abstract

We present a microscopic calculation of magnetization damping for a magnetic "toy model." The magnetic system consists of itinerant carriers coupled antiferromagnetically to a dispersionless band of localized spins, and the magnetization damping is due to coupling of the itinerant carriers to a phonon bath in the presence of spin-orbit coupling. Using a mean-field approximation for the kinetic exchange model and assuming the spin-orbit coupling to be of the Rashba form, we derive Boltzmann scattering integrals for the distributions and spin coherences in the case of an antiferromagnetic exchange splitting, including a careful analysis of the connection between lifetime broadening and the magnetic gap. For the Elliott-Yafet type itinerant spin dynamics we extract dephasing and magnetization times T_1 and T_2 from initial conditions corresponding to a tilt of the magnetization vector, and draw a comparison to phenomenological equations such as the Landau-Lifshitz or the Gilbert damping. We also analyze magnetization precession and damping for this system including an anisotropy field and find a carrier mediated dephasing of the localized spin via the mean-field coupling.

arXiv comment14 pages, 18 figures

References in corpus (18)

• Ferromagnetism in semiconductors and oxides: prospects from a ten years' perspective
• Theory of ferromagnetic (III,Mn)V semiconductors
• Fokker-Planck and Landau-Lifshitz-Bloch Equations for Classical Ferromagnets
• Thermally assisted magnetization reversal in the presence of a spin-transfer torque
• Acoustic phonon limited mobility in two-dimensional semiconductors: Deformation potential and piezoelectric scattering in monolayer MoS2 from first principles
• Theory of Diluted Magnetic Semiconductor Ferromagnetism
• Theory of Magnetic Properties and Spin-Wave Dispersion for Ferromagnetic (Ga,Mn)As
• Ultra-fast magnetisation rates within the Landau-Lifshitz-Bloch model
• Ultra-fast spin dynamics: the effect of colored noise
• Magnetization relaxation in (Ga,Mn)As ferromagnetic semiconductors
• Ultrafast demagnetization in the sp-d model: a theoretical study
• Mean-field magnetization relaxation in conducting ferromagnets
• Excitation Induced Dephasing in Semiconductor Quantum Dots
• Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity
• Femtosecond Control of the Magnetization in Ferromagnetic Semiconductors
• Spin relaxation time, spin dephasing time and ensemble spin dephasing time in $n$-type GaAs quantum wells
• Hole spin relaxation and coefficients in Landau-Lifshitz-Gilbert equation in ferromagnetic GaMnAs
• Effect of spin-conserving scattering on Gilbert damping in ferromagnetic semiconductors

Cited by in corpus (11)

• Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
• Respective influence of in-plane and out-of-plane spin-transfer torques in magnetization switching of perpendicular magnetic tunnel junctions
• Magnetic switching dynamics in a ferrimagnetic two sub-lattice model including ultrafast exchange scattering
• Ultrafast reduction of exchange splitting in ferromagnetic nickel
• Ultrafast spin-lattice relaxation in ferromagnets including effective spin-orbit fields
• Nonlinear sub-switching regime of magnetization dynamics in photo-magnetic garnets
• Laser-induced ultrafast transport and demagnetization at the earliest time: First-principles and real-time investigation
• Study of the ultrafast dynamics of ferromagnetic materials with a Quantum Monte Carlo atomistic model
• Spin-orbit torque-mediated spin-wave excitation as an alternative paradigm for femtomagnetism
• Spin-phonon dispersion in magnetic materials
• Laser-induced forces on atoms during ultrafast demagnetization