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  • PACS. 71.35.Lk Collective effects (Bose effects, phase space filling, and excitonic phase transitions)  (1)
  • PACS. 73.21.Fg Quantum wells  (1)
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    The European physical journal 22 (2001), S. 89-98 
    ISSN: 1434-6036
    Schlagwort(e): PACS. 73.21.Fg Quantum wells
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: We present a new variationnal method for calculating the ground state energy of an electron bound to an impurity located in a quantum well. This method relies on an envelope function which is determined exactly from a formal minimization procedure. The obtained energies are lower by as much as 10% than the ones found by the widely used free electron envelope function. Their large width limits are reached with exponentially small corrections as they should. We also find that, except for narrow wells, the shape of these exact envelope functions strongly depends on the impurity position, being consequently quite different from the usual free electron ones. In order to discuss the improvements brought by our new procedure in the most striking way, we have used a model semiconductor quantum well with infinite barrier height and simplified band structure. Extensions can be made to finite barrier and more realistic band structures, following the same technique.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    The European physical journal 31 (2003), S. 17-24 
    ISSN: 1434-6036
    Schlagwort(e): PACS. 71.35.Lk Collective effects (Bose effects, phase space filling, and excitonic phase transitions)
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: The N-ground-state-exciton normalization factor, namely 〈v| B 0 N B 0 dagN| v〉 = N!F N, with B 0 d ag the exact ground state exciton creation operator, differs from N! because the excitons are not perfect bosons. The quantity FN turns out to be crucial for problems dealing with interacting excitons. Indeed, the excitons feel each other not only through the Coulomb interaction but also through Pauli exclusion between their components. A quite novel purely Pauli contribution exists in their many-body effects, which relies directly on FN. Following procedures used in the commutation technique we recently introduced to treat interacting close-to-bosons, and in the BCS theory of superconductivity, we rederive important relations verified by the FN's. We also give new explicit expressions of FN valid for η = Na x 3/ small but N 2 a x 3/ large, as FN does not read in terms of η but Nη, the exciton number N being possibly huge in macroscopic samples. Due to this superextensivity, FN does not appear alone in physical quantities, but through ratios like F N + p/F N. We end this work by giving the η expansion of these ratios, useful for all purely Pauli many-body effects.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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