Theory of photoluminescence from an interacting two-dimensional electron gas in strong magnetic fields

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Abstract
A theory of photoluminescence from an interacting two-dimensional electron gas in strong magnetic fields in the vicinity of integer filling factors is developed. The recombination spectrum turns out to be a discontinuous function of the filling factor, related to spectral functions of the final-state excitations. The electron-electron interactions are shown to lead to splitting and oscillations of the recombination line. The splittings, associated with odd filling factors, are analogs of Anderson-Fano resonances, but in the Fock space of the interacting system. The oscillations are related to the competition between the electron-valence hole and electron-electron interactions.