The Addition Spectrum and Koopmans' Theorem for Disordered Quantum Dots
Mesoscale and Nanoscale Physics
2009-10-31 v1 Strongly Correlated Electrons
Abstract
We investigate the addition spectrum of 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 find that in this approximation the peak spacing fluctuations do not scale with the mean single particle level spacing for either Coulomb or nearest neighbour interactions when r_s >~1. We also show that Koopmans' approximation to the addition spectrum can lead to errors that are of order the mean level spacing or larger, both in the mean addition spectrum peak spacings, and in the peak spacing fluctuations.
Cite
@article{arxiv.cond-mat/9902258,
title = {The Addition Spectrum and Koopmans' Theorem for Disordered Quantum Dots},
author = {Paul N. Walker and Gilles Montambaux and Yuval Gefen},
journal= {arXiv preprint arXiv:cond-mat/9902258},
year = {2009}
}
Comments
35 pages including 22 figures (eps)