A numerical method to solve the Boltzmann equation for a spin valve |
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Authors: | J Xiao A Zangwill M D Stiles |
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Institution: | 1.School of Physics, Georgia Institute of Technology,Atlanta,USA;2.Electron Physics Group, National Institute of Standards and Technology,Gaithersburg,USA |
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Abstract: | We present a numerical algorithm to solve the Boltzmann
equation for the electron distribution function in magnetic multilayer
heterostructures with non-collinear magnetizations. The solution is
based on a scattering matrix formalism for layers that are
translationally invariant in plane so that properties only vary
perpendicular to the planes. Physical quantities like spin density,
spin current, and spin-transfer torque are calculated directly from
the distribution function. We illustrate our solution method with a
systematic study of the spin-transfer torque in a spin valve as a
function of its geometry. The results agree with a
hybrid circuit theory developed by Slonczewski for geometries typical
of those measured experimentally. |
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Keywords: | |
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