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Bound excitons in local density Approximation
Author(s) -
Wünsche H.J.,
Henneberger K.
Publication year - 1979
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220910138
Subject(s) - exciton , biexciton , binding energy , coulomb , isotropy , bound state , atomic physics , ionization , upper and lower bounds , electron , physics , chemistry , range (aeronautics) , molecular physics , condensed matter physics , quantum mechanics , materials science , ion , mathematical analysis , mathematics , composite material
Using LDA for exchange and correlation contributions the binding energies for localized few particle complexes consisting of up to two excitons bound at a fixed coulomb centre are calculated. A simple isotropic two‐band structure is adopted. For the exciton bound at the ionized donor D + X good agreement is found with values obtained by elaborated variational ansatzes in the literature. Binding energies for the exciton bound at a neutral donor D°X in a wide range of electron to hole mass ratios are obtained for the first time, well reflecting the known limiting cases of H 2 (s̀ → 0), H − (s̀ → ∞), and PsH (s̀ = 1). Furthermore, stability is predicted for the biexciton bound at the ionized donor D + X 2 below s̀ ≦ 1.4. From all results it is concluded, that LDA is appropriate to describe excitonic complexes bound at shallow impurities.