|標題:||Analytical calculation of eigen-energies for lens-shaped quantum dot with finite barriers|
|作者:||Rodriguez, A. H.|
Ramirez, H. Y.
Department of Electrophysics
|摘要:||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.|
|期刊:||EUROPEAN PHYSICAL JOURNAL B|