Optical recombination of biexcitons in semiconductors

Abstract

We calculate the photoluminescence spectrum and lifetime of a biexciton in a semiconductor using Fermi's golden rule. Our biexciton wavefunction is obtained using a Quantum Monte Carlo calculation. We consider a recombination process where one of the excitons within the biexciton annihilates. For hole masses greater than or equal to the electron mass, we find that the surviving exciton is most likely to populate the ground state. We also investigate how the confinement of excitons in a quantum dot would modify the lifetime in the limit of a large quantum dot where confinement principally affects the centre of mass wavefunction. The lifetimes we obtain are in reasonable agreement with experimental values. Our calculation can be used as a benchmark for comparison with approximate methods.

6 pages, 2 figures

References in corpus (10)

• Continuum variational and diffusion quantum Monte Carlo calculations
• Jastrow correlation factor for atoms, molecules, and solids
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Cited by in corpus (4)

• Trion formation in a two-dimensional hole-doped electron gas
• Roton-maxon spectrum and instability for weakly interacting dipolar excitons in a semiconductor layer
• Quantum Monte Carlo study of three-dimensional Coulomb complexes: trions and biexcitons; hydrogen molecules and ions; helium hydride cations; and positronic and muonic complexes
• Composite boson description of a low density gas of excitons