Coulomb Blockade Fluctuations in Disordered Quantum Dots

TL;DR

This paper investigates Coulomb Blockade fluctuations in disordered quantum dots with spinless fermions, highlighting the impact of interaction types and the importance of self-consistent methods for accurate spectral statistics.

Contribution

It provides new insights into Coulomb Blockade behavior in disordered quantum dots, emphasizing the differences between Coulomb and nearest-neighbour interactions and the limitations of Koopmans' approximation.

Findings

Spectral statistics evolve with interaction strength.

Neglecting rearrangements causes large errors.

Different results for Coulomb vs. nearest-neighbour interactions.

Abstract

We discuss some recent results on the statistics of the Coulomb Blockade in disordered quantum dots containing spinless interacting fermions using the self-consistent Hartree-Fock approximation. We concentrate on the regime r_s >~1, with finite dimensionless conductance g. We present significantly different results for the cases of a Coulomb and a nearest-neighbour bare interaction. We show that neglecting rearrangements when the particle number is changed (Koopmans' approximation) can lead to large errors, and show how the spectral statistics of the self-consistent single particle orbitals evolve with the interaction strength.