Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-12-30
Physical Review B 59, 10165 (1999).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
LaTeX 2.09, RevTeX, 25 pages, 9 Encapsulated Postscript figures. To be published in Physical Review B
Scientific paper
10.1103/PhysRevB.59.10165
We study the energy spectra of small three-dimensional (3D) and two-dimensional (2D) semiconductor quantum dots through different theoretical approaches (single-site Hubbard and Hartree-Fock hamiltonians); in the smallest dots we also compare with exact results. We find that purely 2D models often lead to an inadequate description of the Coulomb interaction existing in realistic structures, as a consequence of the overestimated carrier localization. We show that the dimensionality of the dots has a crucial impact on (i) the accuracy of the predicted addition spectra; (ii) the range of validity of approximate theoretical schemes. When applied to realistic 3D geometries, the latter are found to be much more accurate than in the corresponding 2D cases for a large class of quantum dots; the single-site Hubbard hamiltonian is shown to provide a very effective and accurate scheme to describe quantum dot spectra, leading to good agreement with experiments.
Manghi Franca
Molinari Elisa
Rontani Massimo
Rossi Fausto
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