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Theory of photoluminescence of the ν=1 quantum Hall state:Excitons, spin waves, and spin textures

1997; American Physical Society; Volume: 55; Issue: 4 Linguagem: Inglês

10.1103/physrevb.55.2436

1095-3795

Nigel R. Cooper, Dmitri B. Chklovskii,

Advancements in Semiconductor Devices and Circuit Design

We study the theory of intrinsic photoluminescence of two-dimensional electron systems in the vicinity of the \ensuremath{\nu}=1 quantum Hall state. We focus predominantly on the recombination of a band of initial ``excitonic states'' that are the low-lying energy states of our model at \ensuremath{\nu}=1. It is shown that the recombination of excitonic states can account for recent observations of the polarization-resolved spectra of a high-mobility GaAs quantum well. The asymmetric broadening of the spectral line in the ${\mathrm{\ensuremath{\sigma}}}_{\mathrm{\ensuremath{-}}}$ polarization is explained to be the result of the ``shakeup'' of spin waves upon radiative recombination of excitonic states. We derive line shapes for the recombination of excitonic states in the presence of long-range disorder that compare favorably with the experimental observations. We also discuss the stabilities and recombination spectra of other (``charged'') initial states of our model. An additional high-energy line observed in experiment is shown to be consistent with the recombination of a positively charged state. The recombination 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 spin texture'' of the \ensuremath{\nu}=1 state.