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19. Shallow-Donor States in Spherical Quantum Dots with Parabolic Confinement

Author

UNIVERSIDAD DEL VALLE CALI (COLOMBIA), Duque, C. A., Porras-Montenegro, N., Dios-Leyva, M. de, Oliveira, L. E., UNIVERSIDAD DEL VALLE CALI (COLOMBIA), Duque, C. A., Porras-Montenegro, N., Dios-Leyva, M. de, and Oliveira, L. E.

Abstract

The evidence of a parabolic potential well in quantum wires and dots was reported in the literature, and a parabolic potential is often considered to be a good representation of the 'barrier' potential in semiconductor quantum dots. In the present work, the variational and fractional-dimensional space approaches are used in a thorough study of the binding energy of on-center shallow donors in spherical GaAs-Ga(1-x)Al(x)As quantum dots with potential barriers taken either as rectangular V(sub b) (eV) = 1.247 x for r > R or parabolic V(sub b) (r) = Beta(sup 2) r(sup 2) isotropic barriers. We define the parabolic potential with a Beta parameter chosen so that it results in the same E0 ground state energy as for the spherical quantum dot of radius R and rectangular potential in the absence of the impurity. Calculations using either the variational or fractional-dimensional approaches both for rectangular and parabolic potential result in essentially the same on-center binding energies provided the dot radius is not too small. This indicates that both potentials are alike representations of the quantum-dot barrier potential for a radius R quantum dot provided the parabolic potential is defined with Beta chosen as mentioned above., Pub in: Materials Research Society Symposium Proceedings, Volume 692. This article is from ADA405047 Progress in Semiconductor Materials for Optoelectronic Applications Symposium held in Boston, Massachusetts on November 26-29, 2001.

Published
2002

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