Eur. Phys. J. B 66, 235-238 (2008)
https://doi.org/10.1140/epjb/e2008-00394-3

Analytical calculation of eigen-energies for lens-shaped quantum dot with finite barriers

¹ Universidad Autónoma de la Ciudad de México (UACM), C.P. 09620, Calzada Ermita Iztapalapa s/n Col. Lomas de Zaragoza, México D.F., Mexico
² Physics Department, Universidad de Los Andes, Carrera 1. No. 18A-10, 4976 Bogotá, Colombia
³ Electrophysics Department, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu R.O.C., Taiwan

Corresponding author: ^a arezky@gmail.com

Received: 8 July 2008
Published online: 24 October 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.