Theory of photoluminescence in semiconductors

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Abstract
A theory is presented that relates the luminescence signal of a semiconductor to the current-density correlation function. It allows the calculation of the luminescence spectrum for nonthermal carrier distributions by means of solving the Bethe-Salpeter equation for the polarization. The present method passes important consistency checks and overcomes some limitations and shortcomings of previous approaches. A detailed comparison is made with previous results and numerical examples are presented to demonstrate the usefulness of the present method.