Transmission through a n interacting quantum dot in the Coulomb blockade regime

TL;DR

This paper investigates how electron-electron interactions affect quantum dot transmission in the Coulomb blockade regime, revealing that conductance peak statistics are largely unaffected by interactions and aligning with experimental observations.

Contribution

It provides a numerical analysis showing that Coulomb interactions do not alter conductance peak statistics, offering a unified explanation consistent with experiments.

Findings

Conductance peak height statistics are independent of interaction strength.

Statistics match predictions of constant interaction single electron random matrix theory.

Reduced sensitivity to magnetic flux is explained by short-range Coulomb correlations.

Abstract

The influence of electron-electron (e-e) interactions on the transmission through a quantum dot is investigated numerically for the Coulomb blockade regime. For vanishing magnetic fields, the conductance peak height statistics is found to be independent of the interactions strength. It is identical to the statistics predicted by constant interaction single electron random matrix theory and agrees well with recent experiments. However, in contrast to these random matrix theories, our calculations reproduces the reduced sensitivity to magnetic flux observed in many experiments. The relevant physics is traced to the short range Coulomb correlations providing thus a unified explanation for the transmission statistics as well as for the large conductance peak spacing fluctuations observed in other experiments.