Selection rules for optical transition probabilities in superlattices

Based on numerical evaluations of the transition probabilities, and using true superlattice eigenfunctions derived from the theory of finite periodic systems, new superlattice selection rules are obtained. We show that the evaluation of the large number N   of the possible recombination transitions reduces by a factor of two. We also show that taking into account these selection rules, the theoretical calculations for specific blue emitting GaN⧹(InxGa1-xN⧹InyGa1-yN)n⧹GaNGaN⧹(InxGa1-xN⧹InyGa1-yN)n⧹GaN superlattices agree with those reported by Nakamura et al. [1].

► New selection rules are obtained for radiative recombination in superlattices.
► A simple and correct theory is used to evaluate eigenvalues and eigenfunctions.
► The theory provides excellent description of observed photoemission spectra.
► The photoluminescence peaks are identified and correctly characterized.
► A substantial reduction of evaluations that may help in laser design.