Transport properties of ferromagnet/d-wave superconductor/ferromagnet double junctions

TL;DR

This paper studies the electrical transport in a trilayer structure with a d-wave superconductor and ferromagnetic electrodes, revealing the roles of zero energy states and anisotropy in phenomena like crossed Andreev reflection.

Contribution

It demonstrates the presence of crossed Andreev reflection and elastic cotunneling in d-wave superconductor junctions, highlighting the influence of zero energy states.

Findings

Crossed Andreev reflection occurs in d-wave superconductor junctions.

Zero energy states significantly affect transport properties.

Elastic cotunneling is also observed in the system.

Abstract

We investigate transport properties of a trilayer made of a d-wave superconductor connected to two ferromagnetic electrodes. Using Keldysh formalism we show that crossed Andreev reflection and elastic cotunneling exist also with d-wave superconductors. Their properties are controlled by the existence of zero energy states due to the anisotropy of the d-wave pair potential.