Crossed Andreev Reflection in Structures Consisting of a Superconductor with Ferromagnetic Leads

TL;DR

This paper develops a theoretical model for crossed Andreev reflection in superconductor-ferromagnet structures, showing how current and magnetoresistance depend on magnetic orientation, lead separation, and interface properties.

Contribution

It introduces a detailed theory explaining the dependence of crossed Andreev reflection on magnetization alignment and geometrical factors in superconductor-ferromagnet systems.

Findings

Current and magnetoresistance depend on ferromagnetic lead orientation.

Interference effects influence electron wave functions in ferromagnets.

Results vary with exchange field and interfacial barrier height.

Abstract

A theory of crossed Andreev reflection in structures consisting of a superconductor with two ferromagnetic leads is presented. The electric current due to the crossed Andreev reflection strongly depends on the relative orientation of the magnetization of two ferromagnetic leads. It is shown that the dependence of the electric current and the magnetoresistance on the distance between two ferromagnetic leads is understood by considering the interference between the wave functions in ferromagnets. The current and the magnetoresistance are calculated as functions of the exchange field and the height of the interfacial barriers.