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Etude des états excitoniques dans les nanostructures cylindriques de semi-conducteurs

Abstract : Semiconductor quantum boxes are heterostructures which lead to a total quantization of the exciton energy for sizes near the excitonic radius. Their pratical interest resides essentially in their nonlinear optical properties and the possibility to realize high performance quantum dot lasers. Whereas the shape of microcrystallites in a glass matrix is approximately spherical, cylindrical shape is more suitable to small size boxes obtained by molecular beam epitaxy litographic techniques. We present the results of the first variational calculation of the ground state energy of an exciton in a finite cylindrical quantum well. We use the envelope function approximation, leading to an effective two-particle Schrödinger equation where the electron and hole confinement potentials, and the coulombic potential are in competition. We have first modelized the confinement potentials by infinite square wells, for which the confinement effects prevail over the coulombic interaction for very small sizes. The study has been carried on by using finite square wells, which lead to a different behaviour for very small sizes. Indeed, as in the case in spherical microcrystallites, the part of the confinement potential is no longer the strongest for evanescent box sizes near the excitonic radius
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  • HAL Id : tel-01775991, version 1



Serge Le Goff. Etude des états excitoniques dans les nanostructures cylindriques de semi-conducteurs. Matière Condensée [cond-mat]. Université Paul Verlaine - Metz, 1992. Français. ⟨NNT : 1992METZ029S⟩. ⟨tel-01775991⟩



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