Transmission of two interacting electrons

TL;DR

This paper investigates how the transmission of two interacting electrons can be enhanced through interaction renormalization, especially in the presence of attractive potentials, with implications for quantum dot scattering.

Contribution

It demonstrates that interaction renormalization can turn repulsive interactions attractive, significantly affecting electron transmission in quantum systems.

Findings

Interaction renormalization enhances electron transmission.

Renormalized interaction can become attractive in certain potentials.

Transmission exhibits a maximum as a function of potential depth.

Abstract

The transmission of two electrons through a region where they interact is found to be enhanced by a renormalization of the repulsive interaction. For a specific example of the single-particle Hamiltonian, which includes a strongly attractive potential, the renormalized interaction becomes attractive, and the transmission has a pronounced maximum as function of the depth of the single-electron attractive potential. The results apply directly to a simple model of scattering of two interacting electrons by a quantum dot.