Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-08-13
Phys. Rev. B 76, 214418 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Phys. Rev. B, in press, replaced with published version
Scientific paper
10.1103/PhysRevB.76.214418
Within the s-d model description, we derive the current-driven spin torque in a ferromagnet, taking explicitly into account a spin-relaxing Caldeira-Leggett bath coupling to the s-electrons. We derive Bloch-Redfield equations of motion for the s-electron spin dynamics, and formulate a systematic gradient expansion to obtain non-adiabatic (higher-order) corrections to the well-known adiabatic (first-order) spin torque. We provide simple analytical expressions for the second-order spin torque. The theory is applied to current-driven domain wall motion. Second-order contributions imply a deformation of a transverse tail-to-tail domain wall. The wall center still moves with a constant velocity that now depends on the spin-polarized current in a non-trivial manner.
Egger Reinhold
Thorwart Martin
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