The Energy Spectrum of Carriers between Two Concentric Spheres of Kane-Type Semiconductors

Babayev, Arif; Cakmaktepe, Sukru; Turkoz, Deniz

doi:https://doi.org/10.1155/JNM/2006/57519

Journal of Nanomaterials

On this page

Abstract References Copyright Related Articles

Open Access

Volume 2006 | Article ID 057519 | https://doi.org/10.1155/JNM/2006/57519

The Energy Spectrum of Carriers between Two Concentric Spheres of Kane-Type Semiconductors

Arif Babayev,^1,2Sukru Cakmaktepe,²and Deniz Turkoz²

Academic Editor: Michael Harris

Received04 Oct 2005

Accepted23 Feb 2006

Published04 Apr 2006

Abstract

The electronic states of carriers between two concentric spheres of Kane-type semiconductor are theoretically investigated and compared with the results of the parabolic band approximation. Calculations are performed for a hard-wall confinement potential and the eigenstates and the eigenvalues of the Kane Hamiltonian are obtained. Taking into account the real band structure (strong spin-orbital interaction, narrow band gap), the size dependence of the energy of electrons, light holes, and spin-orbital splitting holes in InSb semiconductor concentric spheres are calculated. According to the obtained results both in parabolic and nonparabolic (Kane model) cases, the electron energy levels come close to each other with the increasing of the radius.

References

T. Chakraborty, Quantum Dots, Elsevier, Amsterdam, The Netherlands, 1999.
D. Bimberg, M. Grundman, and M. Ledentsov, Quantum Dot Heterostructures, John Wiley & Sons, New York, NY, USA, 2001.
Al. L. Efros and M. Rosen, “Quantum size level structure of narrow-gap semiconductor nanocrystals: effect of band coupling,” Physical Review B, vol. 58, no. 11, pp. 7120–7135, 1998.
View at: Google Scholar
P. C. Sercel and K. J. Vahala, “Analytical formalism for determining quantum-wire and quantum-dot band structure in the multiband envelope-function approximation,” Physical Review B, vol. 42, no. 6, pp. 3690–3710, 1990.
View at: Google Scholar
F. M. Gashimzade, A. M. Babaev, and M. A. Bagirov, “Energy spectra of narrow- and zero-gap-semiconductor quantum dots,” Journal of Physics: Condensed Matter, vol. 12, no. 36, pp. 7923–7932, 2000.
View at: Google Scholar
E. P. Pokatilov, V. A. Fonoberov, V. M. Fomin, and J. T. Devreese, Journal of Physics: Condensed Matter, 1, vol. 12, no. 42, pp. 9037–9052, 2000.
V. Alonso, S. De Vincenzo, and L. Mondino, “On the boundary conditions for the Dirac equation,” European Journal of Physics, vol. 18, no. 5, pp. 315–320, 1997.
View at: Google Scholar
T. Darnhofer and U. Rössler, “Effects of band structure and spin in quantum dots,” Physical Review B, vol. 47, no. 23, pp. 16020–16023, 1993.
View at: Google Scholar
A. I. Anselm, Introduction to Semiconductor Theory, Nauka, Moscow, Russia; Prentice-Hall, Englewood Cliffs, NJ, USA, 1978.
R. L. Liboff, Introductory Quantum Mechanics, Addison-Wesley, San Francisco, Calif, USA, 4th edition, 2002.

Copyright

Copyright © 2006 Arif Babayev et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PDF Download Citation Order printed copies

Views

278

Downloads

917

Citations