A Numerical Model of Crossed Andreev Reflection and Charge Imbalance

TL;DR

This paper develops a numerical model to analyze local and nonlocal transport phenomena, including crossed Andreev reflection and charge imbalance, in a lateral spin valve with a superconducting electrode, matching experimental data.

Contribution

It introduces a simple numerical approach to simulate nonlocal charge transport phenomena in spin valve structures with superconductors, aligning well with experimental observations.

Findings

Model accurately replicates experimental data

Highlights significance of crossed Andreev reflection

Demonstrates charge imbalance effects in nonlocal transport

Abstract

We present a numerical model of local and nonlocal transport properties in a lateral spin valve structure consisting of two magnetic electrodes in contact with a third perpendicular superconducting electrode. By considering the transport paths for a single electron incident at the local F/S interface - in terms of probabilities of crossed or local Andreev reflection, elastic cotunneling or quasiparticle transport - we show that this leads to nonlocal charge imbalance. We compare this model with experimental data from an aluminum-permalloy (Al/Py) lateral spin valve geometry device and demonstrate the effectiveness of this simple approach in replicating experimental behavior.