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A Simple Shell Model for Quantum Dots in a Tilted Magnetic Field

W. D. Heiss·R. G. Nazmitdinov
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Abstract

A model for quantum dots is proposed, in which the motion of a few electrons in a three-dimensional harmonic oscillator potential under the influence of a homogeneous magnetic field of arbitrary direction is studied. The spectrum and the wave functions are obtained by solving the classical problem. The ground state of the Fermi-system is obtained by minimizing the total energy with regard to the confining frequencies. From this a dependence of the equilibrium shape of the quantum dot on the electron number, the magnetic field parameters and the slab thickness is found.

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W. D. Heiss, R. G. Nazmitdinov. 1997-04-26. A Simple Shell Model for Quantum Dots in a Tilted Magnetic Field. https://doi.org/10.1103/physrevb.55.16310

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