Crossed Andreev reflection at ferromagnetic domain walls

Details Crossed Andreev reflection at ferromagnetic domain walls Crossed Andreev reflection at ferromagnetic domain walls

2003-02-12

arxiv.org/abs/cond-mat/0302236v4

Phys. Rev. B 68, 174515 (2003)

Physics

Condensed Matter

Superconductivity

18 pages, 8 figures, references added at the end of the introduction

Scientific paper

10.1103/PhysRevB.68.174515

We investigate several factors controlling the physics of hybrid structures involving ferromagnetic domain walls (DWs) and superconducting (S) metals. We discuss the role of non collinear magnetizations in S/DW junctions in a spin $\otimes$ Nambu $\otimes$ Keldysh formalism. We discuss transport in S/DW/N and S/DW/S junctions in the presence of inelastic scattering in the domain wall. In this case transport properties are similar for the S/DW/S and S/DW/N junctions and are controlled by sequential tunneling of spatially separated Cooper pairs across the domain wall. In the absence of inelastic scattering we find that a Josephson current circulates only if the size of the ferromagnetic region is smaller than the elastic mean free path meaning that the Josephson effect associated to crossed Andreev reflection cannot be observed under usual experimental conditions. Nevertheless a finite dc current can circulate across the S/DW/S junction due to crossed Andreev reflection associated to sequential tunneling.

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