Abstract
A thorough understanding of the excitonic spectra from quantum wells with rough interfaces or alloy disorder requires large-scale numerical simulations with detailed modeling of the underlying quantum mechanics of exciton localization and relaxation. We discuss various numerical aspects of the calculation of wave functions, phonon transition rates and radiative lifetimes, as well as absorption and luminescence spectra. We argue, that spatially and energetically resolved spectra yield information on wave function size and localization character and discuss phonon scattering between disorder eigenstates for the limit of small energy transfer which is relevant at low temperatures.
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