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A numerical method to solve the Boltzmann equation for a spin valve | | Jiang Xiao
; A. Zangwill
; M. D. Stiles
; | | Date: |
16 Jan 2007 | | Journal: | Eur. Phys. J. B 2007 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Materials Science | | 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. | | Source: | arXiv, cond-mat/0701385 | | Services: | Forum | Review | PDF | Favorites | |
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