Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction

Abstract

We present a microscopic calculation of the Gilbert damping constant for the magnetization of a two-dimensional spin-polarized electron liquid in the presence of intrinsic spin-orbit interaction. First we show that the Gilbert constant can be expressed in terms of the auto-correlation function of the spin-orbit induced torque. Then we specialize to the case of the Rashba spin-orbit interaction and we show that the Gilbert constant in this model is related to the spin-channel conductivity. This allows us to study the Gilbert damping constant in different physical regimes, characterized by different orderings of the relevant energy scales -- spin-orbit coupling, Zeeman coupling, momentum relaxation rate, spin-momentum relaxation rate, spin precession frequency -- and to discuss its behavior in various limits. Particular attention is paid to electron-electron interaction effects,which enter the spin conductivity and hence the Gilbert damping constant via the spin Coulomb drag coefficient.

arXiv comment18 pages, 8 figures

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Cited by in corpus (19)

• Current-induced domain wall motion in Rashba spin-orbit system
• First-principles calculation of the Gilbert damping parameter via the linear response formalism with application to magnetic transition-metals and alloys
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Prediction of Giant Spin Motive Force due to Rashba Spin-Orbit Coupling
• Transverse spin diffusion in ferromagnets
• Inhomogeneous Gilbert damping from impurities and electron-electron interactions
• Gilbert Damping in Conducting Ferromagnets II: Model Tests of the Torque-Correlation Formula
• Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity
• Theory of the Pseudospin Resonance in Semiconductor Bilayers
• Comparative study of methodologies to compute the intrinsic Gilbert damping: interrelations, validity and physical consequences
• Gilbert damping in non-collinear magnetic system
• Spin waves in magnetic quantum wells with Coulomb interaction and $sd$ exchange coupling
• Chirality and intrinsic dissipation of spin modes in two-dimensional electron liquids
• Giant anisotropy of Gilbert damping in a Rashba honeycomb antiferromagnet
• Quantum noise in the spin transfer torque effect
• Possible charge analogues of spin transfer torques in bulk superconductors
• Pseudospin excitations in coaxial nanotubes
• Spin transport through a nanojunction with a precessing anisotropic molecular spin: Quantum interference and spin-transfer torque
• Origin of intrinsic Gilbert damping