Circuit theory for crossed Andreev reflection and nonlocal conductance

TL;DR

This paper develops a circuit theory framework to analyze nonlocal conductance phenomena, including crossed Andreev reflection and electron transfer, in mesoscopic superconductor-normal metal devices, accounting for dephasing and proximity effects.

Contribution

It introduces a comprehensive circuit theory approach to quantify nonlocal conductance, incorporating effects like dephasing and proximity, which were not fully addressed before.

Findings

Calculated conductance for crossed Andreev reflection and electron transfer.

Quantified effects of dephasing and proximity on nonlocal conductance.

Provided a theoretical foundation for analyzing mesoscopic superconductor-normal metal devices.

Abstract

Nonlocal currents, in devices where two normal metal terminals are contacted to a superconductor, are determined using the circuit theory of mesoscopic superconductivity. We calculate the conductance associated with crossed Andreev reflection and electron transfer between the two normal metal terminals, in addition to the conductance from direct Andreev reflection and quasiparticle tunneling. Dephasing and proximity effect are taken into account.