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Accuracy of the Hartree-Fock method for Wigner molecules at high magnetic fields

  • B. SzafranEmail author
  • S. Bednarek
  • J. Adamowski
  • M. B. Tavernier
  • E. Anisimovas
  • F. M. Peeters
Article

Abstract.

Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagonalization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A comparison of the HF and exact results allows us to discuss the relevance of the symmetry of the charge density distribution for the accuracy of the HF method. It is shown that the energy estimates obtained with the broken-symmetry HF wave functions become exact in the infinite magnetic-field limit. In this limit the charge density of the broken-symmetry solution can be identified with the classical charge distribution.

Keywords

Slater Determinant Charge Density Distribution Lower Landau Level Exact Ground State Multicenter Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • B. Szafran
    • 1
    • 2
    Email author
  • S. Bednarek
    • 1
  • J. Adamowski
    • 1
  • M. B. Tavernier
    • 2
  • E. Anisimovas
    • 2
  • F. M. Peeters
    • 2
  1. 1.Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology,Kraków,Poland
  2. 2.Departement Natuurkunde,Universiteit Antwerpen (UIA),Antwerpen,Belgium

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