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Generalization of the Landau-Lifshitz-Gilbert Equation for Conducting Ferromagnets

Shufeng Zhang and Steven S.-L. Zhang
Phys. Rev. Lett. 102, 086601 – Published 25 February 2009

Abstract

We propose an extension of the Landau-Lifshitz-Gilbert (LLG) equation by explicitly including the role of conduction electrons in magnetization dynamics of conducting ferromagnets. The temporal and spatial dependent magnetization order parameter m(r,t) generates both electrical and spin currents that provide dissipation of the energy and angular momentum of the processing magnet. The resulting LLG equation contains highly spatial dependence of damping term and thus micromagnetic simulations based on the standard LLG equation should be reexamined for magnetization dynamics involving narrow domain walls and spin waves with short wavelengths.

  • Received 29 December 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.086601

©2009 American Physical Society

Authors & Affiliations

Shufeng Zhang and Steven S.-L. Zhang

  • Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

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Issue

Vol. 102, Iss. 8 — 27 February 2009

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