A Simple Shell Model for Quantum Dots in a Tilted Magnetic Field
Mesoscale and Nanoscale Physics
2009-10-30 v1
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.
Cite
@article{arxiv.cond-mat/9704216,
title = {A Simple Shell Model for Quantum Dots in a Tilted Magnetic Field},
author = {W. D. Heiss and R. G. Nazmitdinov},
journal= {arXiv preprint arXiv:cond-mat/9704216},
year = {2009}
}
Comments
15 pages (Latex), 3 epsi figures, to appear in PhysRev B, 55 Nr. 20 (1997)