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Spin relaxation torque in metallic ferromagnets

Authors
  • Nakabayashi, Noriyuki
  • Takeuchi, Akihito
  • Hosono, Kazuhiro
  • Taguchi, Katsuhisa
  • Tatara, Gen
Type
Published Article
Publication Date
Apr 28, 2010
Submission Date
Feb 01, 2010
Identifiers
DOI: 10.1103/PhysRevB.82.014403
Source
arXiv
License
Yellow
External links

Abstract

Spin relaxation torque ${\cal T}$ in uniform metallic ferromagnets with the spin-orbit interaction arising from random impurities is calculated microscopically. ${\cal T}$ is shown to be written by spatial derivatives of the electric field, but is not always given as a divergence of a torque dipole density. The result is due to the fast dissipation of the orbital angular momentum, and thus a conserving spin current cannot be defined. It is discussed that the $\beta$ term in the spin transfer torque can also be asymmetric.

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