THEORY OF EXCITON RECOMBINATION FROM THE MAGNETICALLY INDUCED WIGNER CRYSTAL

We study the theory of itinerant-hole photoluminescence of two-dimensi onal electron systems in the regime of the magnetically induced Wigner crystal. We show that the exciton recombination transition develops s tructure related to the presence of the Wigner crystal. The form of th is structure depends strongly on the separation d between the photoexc ited hole and the plane of the two-dimensional electron gas. When d is small compared to the magnetic length, additional peaks appear in the spectrum due to the recombination of exciton states with wave vectors equal to the reciprocal lattice vectors of the crystal. For d larger than the magnetic length, the exciton becomes strongly confined to an interstitial site of the lattice, and the structure in the spectrum re flects the short-range correlations of the Wigner crystal. We derive e xpressions for the energies and the radiative lifetimes of the states contributing to photoluminescence, and discuss how the results of our analysis compare with experimental observations.