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.

18 pages, 8 figures

References in corpus (4)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Generating Spin Currents in Semiconductors with the Spin Hall Effect

Cited by in corpus (7)

• Current-induced domain wall motion in Rashba spin-orbit system
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets
• Transverse spin diffusion in ferromagnets
• Inhomogeneous Gilbert damping from impurities and electron-electron interactions
• Theory of the Pseudospin Resonance in Semiconductor Bilayers
• Spin transport through a nanojunction with a precessing anisotropic molecular spin: Quantum interference and spin-transfer torque
• Origin of intrinsic Gilbert damping