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Journal of Physical Studies 12(3), Article 3704 [6 pages] (2008)
DOI: https://doi.org/10.30970/jps.12.3704 INFLUENCE OF THE SYMMETRY OF A QUANTUM DOT SHAPE ON ITS ENERGY SPECTRUMV. I. Boichuk, I. V. Bilynsky, I. O. Shakleina
Ivan Franko Drohobych State Pedagogical University, |
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In the paper the influence of a quantum dot shape on energy state splitting by group symmetry is studied. In particular, energy levels splitting of cubic, hexagonal, tetrahedral quantum dots is analyzed in detail. A quantum dot of spherical symmetry which serves as a basis yields an exact value of the charge (electron, hole) energy as well as a Schrödinger equation solution. In the frames of the variational method (in case of the ground state) and perturbation theory the energies and wave functions of states are found. Specific calculations are performed for the GaAs/AlAs and InAs/GaSb heterostructures. It is necessary to take account of derived results in developing a consecutive theory of electron states in cubic, hexagonal and tetrahedral quantum dots.
PACS number(s): 78.20.Hp