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

E. M. Hankiewicz·G. Vignale·Y. Tserkovnyak
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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.

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E. M. Hankiewicz, G. Vignale, Y. Tserkovnyak. 2006-12-01. Gilbert damping and spin Coulomb drag in a magnetized electron liquid with spin-orbit interaction. https://doi.org/10.1103/physrevb.75.174434

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