%0 Journal Article
%T Interactions in Chaotic Nanoparticles: Fluctuations in Coulomb Blockade Peak Spacings
%A Denis Ullmo
%A Harold U. Baranger
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevB.64.245324
%X We use random matrix models to investigate the ground state energy of electrons confined to a nanoparticle. Our expression for the energy includes the charging effect, the single-particle energies, and the residual screened interactions treated in Hartree-Fock. This model is applicable to chaotic quantum dots or nanoparticles--in these systems the single-particle statistics follows random matrix theory at energy scales less than the Thouless energy. We find the distribution of Coulomb blockade peak spacings first for a large dot in which the residual interactions can be taken constant: the spacing fluctuations are of order the mean level separation Delta. Corrections to this limit are studied using the small parameter 1/(kf L): both the residual interactions and the effect of the changing confinement on the single-particle levels produce fluctuations of order Delta/sqrt(kf L). The distributions we find are significantly more like the experimental results than the simple constant interaction model.
%U http://arxiv.org/abs/cond-mat/0103098v1