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

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

2003-10-08

arxiv.org/abs/cond-mat/0310172v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to appear in EPJ D

Scientific paper

10.1140/epjd/e2003-00320-5

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.

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