The accuracy of the Hartree-Fock approximation for quantum dots

Neil F Johnson, M. Reina

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The authors investigate the accuracy of the Hartree-Fock (HF) and Hartree (H) approximations for calculating energies in an N-electron quantum dot. The HF and H energies calculated from an analytically solvable model Hamiltonian are compared to exact energy solutions. The HF and H approximations become less accurate with increasing number of electrons, decreasing magnetic field, increasing dot size and increasing electron-electron interaction strength. The dependence on electron number is contrary to the well known infinite electron gas result.

Original languageEnglish (US)
Article number003
JournalJournal of Physics Condensed Matter
Volume4
Issue number47
DOIs
StatePublished - 1992
Externally publishedYes

Fingerprint

Hartree approximation
Semiconductor quantum dots
quantum dots
Electrons
N electrons
Electron-electron interactions
Hamiltonians
Electron gas
electrons
approximation
electron gas
energy
electron scattering
Magnetic fields
magnetic fields

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

The accuracy of the Hartree-Fock approximation for quantum dots. / Johnson, Neil F; Reina, M.

In: Journal of Physics Condensed Matter, Vol. 4, No. 47, 003, 1992.

Research output: Contribution to journalArticle

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