Macroscopic vs. microscopic models of circular Quantum Dots

J. Martorell; D. W. L. Sprung

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arXiv · cond-mat/0603591

Macroscopic vs. microscopic models of circular Quantum Dots

J. Martorell·D. W. L. Sprung

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Abstract

The confinement mechanism of electrons in gated circular quantum dots is studied in a sequence of models, from self-consistent 3D Hartree calculations to the semiclassical model of Shikin et al. Separation of the vertical from transverse confinement allows accurate 2D Hartree calculations. For moderate size dots containing $\sim 50$ electrons, 2D Thomas-Fermi can also be accurate. Finally, a Shikin type parameterization of the electron density allows quantitative study of the importance of the many contributions to the confinement potential.

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J. Martorell, D. W. L. Sprung. 2007-02-15. Macroscopic vs. microscopic models of circular Quantum Dots. https://arxiv.org/abs/cond-mat/0603591

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