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Application of the Landauer formalism to the calculation of spin current

2019/06/14 by V. Ya. Fadeev, Fadeev, Valentin, A. Umerski +1
Physics and Astronomy · #FOS: Physical sciences #Magnetic properties of thin films #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.1906.06097

openalex publication_date 2019/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this communication we apply the Landauer method and transfer matrix formalism to the calculation of spin current in magnetic multilayered structures within a ballistic quantum-mechanical regime. The method provides an elegant and intuitive formalism with which to study spin current properties and within which closed-form expressions with a transparent physical interpretation can be obtained. We apply the method to illuminate origin and the symmetry properties of the various spin current components within the parabolic band approximation. We also apply the stationary phase approximation to develop asymptotic approximations to the total spin current within this formalism, and show that these give excellent agreement with full numerical calculations for both barrier and well systems.

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