Landau Fermi-liquid picture of spin density functional theory: Strutinsky approach to quantum dots

Journal Article

We analyze the ground-state energy and spin of quantum dots obtained from spin density functional theory (SDFT) calculations. First, we introduce a Strutinsky-type approximation, in which quantum interference is treated as a correction to a smooth Thomas-Fermi description. For large irregular dots, we find that the second-order Strutinsky expressions have an accuracy of about 5% of a mean level spacing compared to the full SDFT and capture all the qualitative features. Second, we perform a random matrix-theory/random-plane wave analysis of the Strutinsky SDFT expressions. The results are statistically similar to the SDFT quantum dot statistics. Finally, we note that the second-order Strutinsky approximation provides, in essence, a Landau Fermi-liquid picture of spin density functional theory. For instance, the leading term in the spin channel is simply the familiar exchange constant. A direct comparison between SDFT and the perturbation theory derived "universal Hamiltonian" is thus made possible.

Full Text

Duke Authors

Cited Authors

  • Ullmo, D; Jiang, H; Yang, W; Baranger, HU

Published Date

  • 2004

Published In

Volume / Issue

  • 70 / 20

Start / End Page

  • 205309-1-205309-15 -

International Standard Serial Number (ISSN)

  • 0163-1829

Digital Object Identifier (DOI)

  • 10.1103/PhysRevB.70.205309