Spectral scrambling in Coulomb-blockade quantum dots
Mesoscale and Nanoscale Physics
2007-05-23 v2 Strongly Correlated Electrons
Abstract
We study the fluctuations of an energy level as a function of the number of electrons added to a Coulomb-blockade quantum dot. A microscopic calculation in the limit of Koopmans' theorem predicts that the standard deviation of these fluctuations behaves as in the absence of surface charge but is linear in when the effect of a surface charge in a finite geometry is included. The microscopic results are compared to a parametric random-matrix approach. We estimate the number of electrons it takes to scramble the spectrum completely in terms of the interaction strength, the dimensionless Thouless conductance, and the symmetry class.
Cite
@article{arxiv.cond-mat/0101461,
title = {Spectral scrambling in Coulomb-blockade quantum dots},
author = {Y. Alhassid and Yuval Gefen},
journal= {arXiv preprint arXiv:cond-mat/0101461},
year = {2007}
}
Comments
13 pages, RevTex, significantly revised and includes new results