Zero-Phonon and Phonon-Assisted Radiative Transitions of Donor-Acceptor Pairs in Luminescent Semiconductors
The theoretical basis for the zero-phonon line and phonon-assisted broad band luminescence of donor-acceptor pairs is considered. For the known cases of pair spectra the electronic orbital time is shown to be short compared to the period of polar lattice modes. We derive detailed justification for the use of the static dielectric constant in the Coulomb interaction term for the line spectra. The effective Hamiltonian relevant to the zero-phonon transitions is formulated. The theory including configuration interaction and effects of lattice polarization is formulated for symmetrical pairs which have equal electron and positive hole orbital radii, and applied to the spectrum of gallium phosphide doped with tin and zinc.
KeywordsLine Spectrum Static Dielectric Constant Zinc Selenide Electronic Binding Energy Positive Hole
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