A Simple Shell Model for Quantum Dots in a Tilted Magnetic Field
arXiv:cond-mat/9704216 · doi:10.1103/PhysRevB.55.16310
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.
15 pages (Latex), 3 epsi figures, to appear in PhysRev B, 55 Nr. 20 (1997)
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