THEORY OF PHOTOLUMINESCENCE OF THE NU=1 QUANTUM HALL STATE - EXCITONS, SPIN-WAVES, AND SPIN TEXTURES

We study the theory of intrinsic photoluminescence of two-dimensional electron systems in the vicinity of the v=1 quantum Hall state. We foc us predominantly on the recombination of a band of initial ''excitonic states'' that are the low-lying energy states of our model at v=1. It is shown that the recombination of excitonic states can account for r ecent observations of the polarization-resolved spectra of a high-mobi lity GaAs quantum well. The asymmetric broadening of the spectral line in the sigma_ polarization is explained to be the result of the ''sha keup'' of spin waves upon radiative recombination of excitonic states. We derive line shapes for the recombination of excitonic states in th e presence of long-range disorder that compare favorably with the expe rimental observations. We also discuss the stabilities and recombinati on spectra of other (''charged'') initial states of our model. An addi tional high-energy line observed in experiment is shown to be consiste nt with the recombination of a positively charged state. The recombina tion spectrum of a negatively charged initial state, predicted by our model but not observed in the present experiments, is shown to provide a direct measure of the formation energy of the smallest ''charged sp in texture'' of the v=1 state.