Polarization-resolved phonon-assisted optical transitions of bound excitons in wurtzite GaN

The selection rules of phonon-assisted optical transitions of bound excitons in bulk wurtzite GaN are studied both experimentally and theoretically. The linearly polarized photoluminescence is detected within the phonon replicas of the lines of impurity bound excitons in the geometry, when the light wave vector is normal to the hexagonal axis, and the electric field vector is either perpendicular or parallel to it. The degree and even sign of the linear polarization is found to depend on the symmetry of the involved optical phonon. To explain these data, a group-theory approach is applied to derive the selection rules for zero-phonon and phonon-assisted transitions involving excitons bound to either substitutional (C(3v) symmetry) or interstitial (C(3v), C(s), or C(1) symmetries) impurities. The obtained theoretical selection rules are in an agreement with the experimental results, provided the exciton is bound to the impurities with the C(3v) symmetry.