Exact eigenstates and transmission for two interacting electrons on quantum dots

TL;DR

This paper derives exact eigenstates and transmission properties for two interacting electrons on quantum dots, revealing limitations of the Coulomb blockade model and showing how interactions influence electron delocalization and transport.

Contribution

It provides exact solutions for two-electron states and transmission in quantum dots, including hybridization effects, which advances understanding of electron interactions in nanoscale systems.

Findings

Eigenstates and transmission are exactly calculated for two interacting electrons.

Results show limitations of the Coulomb blockade picture.

Transmission is enhanced by interaction renormalization when electrons localize.

Abstract

The eigenstates and the scattering transmission for two interacting electrons are found exactly for I quantum dots, including the hybridization with the states on the leads. The results imply limitations on the validity of the Coulomb blockade picture. The ground states for I=1, and 2 on a one--dimensional chain (modeling single and double quantum dots) exhibit quantum delocalization and magnetic transitions. The effective transmission T of two interacting electrons through one impurity (I=1) is enhanced by a renormalization of the repulsive interaction, when one of the electrons is captured in a strongly localized state.