Andreev current in finite sized carbon nanotubes

TL;DR

This paper studies how electron interactions and finite size in a carbon nanotube affect Andreev current at a normal-superconductor junction, revealing significant deviations from traditional models.

Contribution

It introduces a detailed analysis of interaction and finite size effects on Andreev current in finite carbon nanotubes, extending understanding beyond idealized models.

Findings

Interactions significantly modify Andreev current behavior.

Finite size effects lead to deviations from standard Andreev reflection.

The system exhibits unique transport properties due to combined interactions and finite size.

Abstract

We investigate the effect of interactions on Andreev current at a normal-superconducting junction when the normal phase is a Luttinger liquid with repulsive interactions. In particular, we study the system of a finite sized carbon nanotube placed between one metallic and one superconducting lead. We show that interactions and finite size effects give rise to significant deviations from the standard picture of Andreev current at a normal- superconductor junction in the nearly perfect Andreev limit.