Numéro
Le Journal de Physique IV
Volume 03, Numéro C5, Octobre 1993
Third International Conference on Optics of Excitons in Confined
Page(s) C5-355 - C5-358
DOI http://dx.doi.org/10.1051/jp4:1993574
Third International Conference on Optics of Excitons in Confined

Le Journal de Physique IV 03 (1993) C5-355-C5-358

DOI: 10.1051/jp4:1993574

Calculation of exchange energy in quantum dots : application to porous silicon

G. FISHMAN, R. ROMESTAIN and J.C. VIAL

Laboratoire de Spectrométrie Physique, Université J. Fourier, Grenoble I, BP. 87, 38402 St Martin d'Hères cedex, France


Abstract
We present a variational calculation of the envelope wave function of an exciton inside a cube, in the effective mass approximation, with one parameter which plays the part of a Bohr radius. This geometry allows one to reduce the sixfold integrals to threefold integrals which shortens tremendously computer calculations. This wave function is used to obtain the exchange energy and the oscillator strength. The limiting cases (large or small cubes) are recovered. We show that recent experimental results in porous silicon can be explained without further hypothesis.



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