Shot noise and Coulomb effects on non-local electron transport in normal-superconducting-normal heterostructures

TL;DR

This paper explores how Coulomb interactions and shot noise affect non-local electron transport in normal-superconducting-normal heterostructures, revealing phenomena like negative differential conductance and Coulomb anti-blockade.

Contribution

It demonstrates the significant influence of Coulomb effects on non-local transport and establishes a direct relation between Coulomb interactions and shot noise in these systems.

Findings

Non-local differential conductance can become negative at non-zero bias.

High transmission leads to positive noise cross-correlations due to crossed Andreev reflection.

Coulomb interactions can cause anti-blockade effects in electron transport.

Abstract

We argue that Coulomb interaction can strongly influence non-local electron transport in normal-superconducting-normal structures and emphasize direct relation between Coulomb effects and non-local shot noise. In the tunneling limit non-local differential conductance is found to have an S-like shape and can turn negative at non-zero bias. At high transmissions crossed Andreev reflection yields positive noise cross-correlations and Coulomb anti-blockade of non-local electron transport.