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Open AccessJournal ArticleDOI

Simple shell model for quantum dots in a tilted magnetic field

W. D. Heiss, +1 more
- 15 Jun 1997 - 
- Vol. 55, Iss: 24, pp 16310-16317
TLDR
In this paper, 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.
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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Effects of symmetry breaking in finite quantum systems

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Effects of symmetry breaking in finite quantum systems

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Magnetic field and symmetry effects in small quantum dots

TL;DR: In this paper, a model of shell phenomena in small quantum dots with a few electrons under a perpendicular magnetic field is discussed within a simple model, and 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.
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Fluctuon effects in ferroelectric polarization switching

TL;DR: In this article, the authors show that the surface energy of a nucleus can be compensated for the depolarization field term by a redistribution of free charges, but this term alone is too large for thermal-fluctuation-aided nucleation to be possible.
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