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

Autor:	Rodríguez, Arezky H., Ramírez, Hanz Y.
Rok vydání:	2008
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Materials Science
Druh dokumentu:	Working Paper
DOI:	10.1140/epjb/e2008-00394-3
Popis:	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. Comment: 5 pages, 3 figures, accepted for publication in The European Physical Journal B
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.1454 Zobrazit plný text záznamu View this record from Arxiv