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

E. M. Hankiewicz, G. Vignale, and Y. Tserkovnyak
Phys. Rev. B 75, 174434 – Published 23 May 2007

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 autocorrelation 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 the interplay of different energy scales—spin-orbit coupling, Zeeman coupling, momentum relaxation rate, spin Coulomb drag relaxation rate, and driving 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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  • Received 1 December 2006

DOI:https://doi.org/10.1103/PhysRevB.75.174434

©2007 American Physical Society

Authors & Affiliations

E. M. Hankiewicz1,*, G. Vignale1, and Y. Tserkovnyak2

  • 1Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA
  • 2Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA

  • *Electronic address: hankiewicze@missouri.edu

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Issue

Vol. 75, Iss. 17 — 1 May 2007

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