https://doi.org/10.1140/epjb/e2003-00092-8
Electronic structure of three-dimensional quantum dots
1
I. Institut für Theoretische Physik, Jungiusstr. 9,
20355 Hamburg, Germany
2
Department of Physics, Wesleyan University,
Middletown, CT 06459-0155, USA
Corresponding author: a vorrath@physnet.uni-hamburg.de
Received:
5
November
2001
Revised:
12
November
2002
Published online:
1
April
2003
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
