Effects of electron-electron interaction on the conductance of open quantum dots

TL;DR

This paper investigates how electron-electron interactions influence the conductance properties of open quantum dots, revealing effects on conductance fluctuations, localization phenomena, and trajectory contributions under various symmetry conditions.

Contribution

It provides new insights into the role of Coulomb interactions in quantum dot conductance, especially regarding symmetry-breaking and fluctuation enhancement.

Findings

Coulomb interactions do not affect average conductance with broken time-reversal symmetry.

Interactions enhance weak localization and anti-localization effects.

Conductance fluctuations increase due to electron-electron interactions.

Abstract

We study the effect of electron-electron interaction on the conductance of open quantum dots. We find that Coulomb interactions (i) do not affect the ensemble averaged conductance <G> if time-reversal symmetry has been broken by a magnetic field, (ii) enhance weak localization and weak anti-localization corrections to <G> in the absence of a magnetic field, (iii) increase conductance fluctuations, and (iv) enhance the effect of short trajectories on the conductivity of quantum dot.