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Electron energy spectrum and wave functions in complicated elliptic quantum wires

V. A. HOLOVATSKY1,* , V. I. GUTSUL1

Affiliation

  1. Chernivtsi National University, Chernivtsi, Ukraine

Abstract

Within the effective mass approximation the electron spectra in single and complicated elliptic quantum wire constructed on the base of AlxGa1-xAs crystals are researched. The exact energy spectrum of electron in elliptic quantum wire is obtained for the case of infinite potential barriers at the media interfaces at the different ratios between ellipse semi widths. The approximated electron energy spectrum in elliptic semiconductor quantum wire GaAs covered by the AlxGa1-xAs shell embedded into the dielectric medium is calculated. It is shown that in such system the splitting of energy spectrum is caused by the ellipticity of both media interfaces. The dependences of electron energy spectrum on the sizes and geometrical shape of the quantum wire cross-section are obtained. There one can see the anti crossing effect of the energy levels with the same symmetry..

Keywords

Quantum wire, Elliptical core-shell nanowires.

Submitted at: Nov. 14, 2006
Accepted at: May 15, 2007

Citation

V. A. HOLOVATSKY, V. I. GUTSUL, Electron energy spectrum and wave functions in complicated elliptic quantum wires, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 5, pp. 1437-1441 (2007)