Finite-element theory of transport in ferromagnet-normal metal systems
Arne Brataas, Yu. V. Nazarov, and Gerrit E. W. Bauer

TL;DR
This paper develops a finite-element theoretical framework for analyzing spin-dependent transport in complex ferromagnet-normal metal circuits, simplifying calculations and enabling the study of novel device configurations.
Contribution
It introduces a finite-element approach for spin transport in non-collinear ferromagnet-normal metal systems, enhancing computational efficiency and understanding.
Findings
Simplifies calculation of transport properties in complex systems
Applies the theory to a novel three-terminal device
Provides a new tool for designing spintronic devices
Abstract
We formulate a theory of spin dependent transport of an electronic circuit involving ferromagnetic elements with non-collinear magnetizations which is based on the conservation of spin and charge current. The theory considerably simplifies the calculation of the transport properties of complicated ferromagnet-normal metal systems. We illustrate the theory by considering a novel three terminal device.
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