Title: Analytical calculation of eigen-energies for lens-shaped quantum dot with finite barriers
Authors: Rodriguez, A. H.
Ramirez, H. Y.
Department of Electrophysics
Issue Date: 1-Nov-2008
Abstract: The bound states of a particle in a lens-shaped quantum dot with finite confinement potential are obtained in the envelope function approximation. The quantum dot has circular base with radius a and maximum cap height b, and the effective mass of the particle is considered different inside and outside the dot. A 2D Fourier expansion is used in a semi-sphere domain with infinite walls which contains the geometry of the original potential. Electron energies for different values of lens deformation b/a, lens radius a and barrier height V(o) are calculated. In the very high confinement potential limit, the results for the infinite barrier case are recovered.
URI: http://dx.doi.org/10.1140/epjb/e2008-00394-3
ISSN: 1434-6028
DOI: 10.1140/epjb/e2008-00394-3
Volume: 66
Issue: 2
Begin Page: 235
End Page: 238
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