Effects of varying curvature and width on the electronic states of GaAs quantum rings

Stationary states of an electron in thin GaAs elliptical quantum rings are calculated within the effective-mass approximation. The width of the ring varies smoothly along the centerline, which is an ellipse. The solutions of the Schrödinger equation with Dirichlet boundary conditions are approximate...

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Bibliographic Details
Published in:Brazilian journal of physics 2006-06, Vol.36 (2a), p.434-437
Main Authors: Bruno-Alfonso, A., Oliveira, T. A. de
Format: Article
Language:English
Subjects:
PHYSICS, MULTIDISCIPLINARY
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Summary:Stationary states of an electron in thin GaAs elliptical quantum rings are calculated within the effective-mass approximation. The width of the ring varies smoothly along the centerline, which is an ellipse. The solutions of the Schrödinger equation with Dirichlet boundary conditions are approximated by a product of longitudinal and transversal wave functions. The ground-state probability density shows peaks: (i) where the curvature is larger in a constant-with ring, and (ii) in thicker parts of a circular ring. For rings of typical dimensions, it is shown that the effects of a varying width may be stronger than those of the varying curvature. Also, a width profile which compensates the main localization effects of the varying curvature is obtained.
ISSN:0103-9733
1678-4448
DOI:10.1590/S0103-97332006000300054