Electronic structure of three-dimensional quantum dots

  • T. Vorrath
  • R. Blümel


We study the electronic structure of three-dimensional quantum dots using the Hartree-Fock approximation. The confining potential of the electrons in the quantum dot is assumed to be spatially isotropic and harmonic. For up to 40 interacting electrons the ground-state energies and ground-state wavefunctions are calculated at various interaction strengths. The quadrupole moments and electron densities in the quantum dot are computed. Hund's rule is confirmed and a shell structure is identified via the addition energies and the quadrupole moments. While most of the shell structure can be understood on the basis of the unperturbed non-interacting problem, the interplay of an avoided crossing and the Coulomb interaction results in an unexpected closed shell for 19 electrons.

PACS. 73.21.La Quantum dots – 31.15.Ne Self-consistent-field methods 


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Copyright information

© EDP Sciences, Springer-Verlag 2003

Authors and Affiliations

  • T. Vorrath
    • 1
  • R. Blümel
    • 2
  1. 1.I. Institut für Theoretische Physik, Jungiusstr. 9, 20355 Hamburg, GermanyDE
  2. 2.Department of Physics, Wesleyan University, Middletown, CT 06459-0155, USAUS

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