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Magnetic field and symmetry effects in small quantum dots

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Abstract

Shell phenomena in small quantum dots with a few electrons under a perpendicular magnetic field are discussed within a simple model. It is shown that various kinds of shell structures, which occur at specific values for the magnetic field lead to a disappearance of the orbital magnetization for particular magic numbers for noninteracting electrons in small quantum dots. Including the Coulomb interaction between two electrons, we found that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest themselves as near-degeneracy in the quantum spectrum at specific values of the magnetic field and are robust at any strength of the electron-electron interaction. A remarkable agreement between experimental data and calculations exhibits the important role of the thickness for the two-electron quantum dot for analysis of ground state transitions in a perpendicular magnetic field.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics Joint, Institute for Nuclear Research, 141980, Dubna, Russia

    R. G. Nazmitdinov

  2. Departament de Fisica, Universitat de les Illes Balears, E-07122, Palma de Mallorca, Spain

    R. G. Nazmitdinov

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Nazmitdinov, R.G. Magnetic field and symmetry effects in small quantum dots. Phys. Part. Nuclei 40, 71–92 (2009). https://doi.org/10.1134/S1063779609010055

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