Semiclassical density functional theory: Strutinsky energy corrections in quantum dots

Journal Article

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these oscillations remain puzzling, however, particularly the statistics of spacings between conductance peaks. To explore the role that residual interactions may play in the spacing statistics, we consider many-body systems that include electron-electron interactions through an explicit density functional. First, we develop an approximate series expansion for obtaining the ground state using the idea of the Strutinsky shell correction method. Next, we relate the second-order semiclassical corrections to the screened Coulomb potential. Finally, we investigate the validity of the approximation method by numerical calculation of a one-dimensional model system, and show the relative magnitudes of the successive terms as a function of particle number.

Duke Authors

Cited Authors

  • Ullmo, D; Nagano, T; Tomsovic, S; Baranger, HU

Published Date

  • 2001

Published In

Volume / Issue

  • 63 / 12

Start / End Page

  • 1253391 - 12533913

International Standard Serial Number (ISSN)

  • 0163-1829