Theoretical Description of Shell Filling in Cylindrical Quantum Dots
B. Szafran, S. Bednarek and J. Adamowski
Faculty of Physics and Nuclear Techniques, Technical University (AGH), Al. Mickiewicza 30, 30-059 Kraków, Poland
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A theoretical quantitative description is given for non-periodic oscillations observed in a current vs. gate voltage characteristics of cylindrical quantum dots. Energy eigenvalues and chemical potentials for a system of N confined electrons (N=1,...,13) are calculated by the unrestricted Hartree-Fock method with a confinement potential proportional to the gate voltage. The positions of the observed peaks of the current are reproduced with a very good accuracy. The non-periodicity of the characteristic is explained as a result of the shell filling, which is a signature of the quantum Coulomb blockade.
DOI: 10.12693/APhysPolA.94.555
PACS numbers: 73.20.Dx