A theoretical model for quantum nanostructures electronic wave functions, magnetic field effects |
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Authors: | J. Even C. Cornet S. Loualiche |
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Affiliation: | FOTON-INSA UMR6082, Laboratoire LENS, INSA de Rennes, 20 Avenue des Buttes de Coesmes, CS 14315, F34043 Rennes Cedex, France |
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Abstract: | Analytical solutions of electronic wave functions in symmetric quantum ring (QR), quantum wire (QWR) and quantum dots (QD) structures are given using a parabolic coordinates system. The solutions for low-energy states are combinations of Bessel functions. The density of states of perfect 1D QR and QWR are shown to be equivalent. The continuous evolution from a 0D QD to a perfect 1D QR can be precisely described. The sharp variation of electronic properties, related to the build up of a potential energy barrier at the early stage of the QR formation, is studied analytically. Paramagnetic and diamagnetic couplings to a magnetic field are computed for QR and QD. It is shown theoretically that magnetic field induces an oscillation of the magnetization in QR. |
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Keywords: | Density of states Quantum dot Quantum ring Quantum wire Magnetic field |
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