DOI: https://doi.org/10.30970/jps.10.108
ELECTRON ENERGY SPECTRUM IN ELLIPTIC QUANTUM WIRE AND ELLIPTIC NANOTUBE
V. A. Holovatsky, V. I. Gutsul
Chernivtsi National Univercity, 58012, Chernivtsi, st.Kotsubynsky, 2
E-mail: theorphys@chnu.cv.ua
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Journal of Physical Studies 10(2), 108–116 (2006)
DOI: https://doi.org/10.30970/jps.10.108 ELECTRON ENERGY SPECTRUM IN ELLIPTIC QUANTUM WIRE AND ELLIPTIC NANOTUBEV. A. Holovatsky, V. I. Gutsul
Chernivtsi National Univercity, 58012, Chernivtsi, st.Kotsubynsky, 2 |
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Whithin the effective mass approximation, the electron energy spectrum in elliptic quantum wire (EQW) and elliptic semiconductor nanotube (ESN) is investigated. The exact electron energy spectrum in EQW and ESN GaAs with hard walls and approximate solution of the Shrödinger equation at the finite height of the potential barrier in EQW GaAs/Al$_x$Ga$_{1-x}$As are obtained. It is shown that the ellipticity of a quantum wire and a nanotube leads to the breaking of the degeneration quasiparticle energy spectrum. The dependencies of the energy of odd and even electron states on the ratio semiaxes have a nonmonotonous character. In the limited case of the degeneracy of elliptic quantum wires and elliptic nanotubes into circle ones the quasiparticle energy spectrum coincides with the corresponding quasiparticle spectrum in cylindrical nanosystems.
PACS number(s): 68.65.Hb, 68.65.La, 74.25.Kc, 79.60.Jv