Center-of-Mass Properties of the Exciton in Quantum Wells

Details Center-of-Mass Properties of the Exciton in Quantum Wells Center-of-Mass Properties of the Exciton in Quantum Wells

2000-01-19

arxiv.org/abs/cond-mat/0001281v1

Physics

Condensed Matter

Materials Science

19 pages, 12 figures included, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.10854

We present high-quality numerical calculations of the exciton center-of-mass dispersion for GaAs/AlGaAs quantum wells of widths in the range 2-20 nm. The k.p-coupling of the heavy- and light-hole bands is fully taken into account. An optimized center-of-mass transformation enhances numerical convergence. We derive an easy-to-use semi-analytical expression for the exciton groundstate mass from an ansatz for the exciton wavefunction at finite momentum. It is checked against the numerical results and found to give very good results. We also show multiband calculations of the exciton groundstate dispersion using a finite-differences scheme in real space, which can be applied to rather general heterostructures.

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