Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction

TL;DR

This paper investigates how the resistance in a superconductor-Luttinger liquid junction varies nonmonotonically with temperature or voltage, highlighting the interplay between superconductivity and repulsive interactions in clean interfaces.

Contribution

It reveals the nonmonotonic resistance behavior caused by the competition between superconductivity and repulsive interactions in a superconductor-Luttinger liquid junction.

Findings

Resistance shows nonmonotonic temperature dependence

Nonmonotonic voltage dependence observed

Results relate to experiments on carbon nanotubes

Abstract

Transport through a superconductor-Luttinger liquid junction is considered. When the interaction in the Luttinger liquid is repulsive, the resistance of the junction with a sufficiently clean interface shows nonmonotonic temperature- or voltage-dependence due to the competition between the superconductivity and the repulsive interaction. The result is discussed in connection with recent experiments on single-wall carbon nanotubes in contact with superconducting leads.