Orbital-free energy functional for electrons in two dimensions

S. Pittalis, E. Räsänen

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)

Abstract

We derive a nonempirical, orbital-free density functional for the total energy of interacting electrons in two dimensions. The functional consists of a local formula for the interaction energy, where we follow the lines introduced by Parr for three-dimensional systems [R. G. Parr, J. Phys. Chem. 92, 3060 (1988)], and the Thomas-Fermi approximation for the kinetic energy. The freedom from orbitals and from the Hartree integral makes the proposed approximation numerically highly efficient. The total energies obtained for confined two-dimensional systems are in a good agreement with the standard local-density approximation within density-functional theory and considerably more accurate than the Thomas-Fermi approximation.

Original languageEnglish
Article number165112
Number of pages5
JournalPhysical Review B
Volume80
Issue number16
DOIs
Publication statusPublished - Oct 2009
Externally publishedYes
Publication typeA1 Journal article-refereed

Keywords

  • QUANTUM DOTS
  • DENSITY
  • GAS
  • FERMI

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