Macroscopic vs. microscopic models of circular Quantum Dots

Details Macroscopic vs. microscopic models of circular Quantum Dots Macroscopic vs. microscopic models of circular Quantum Dots

2006-03-22

arxiv.org/abs/cond-mat/0603591v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

original: 16 pages, 14 figures revision: reduced size to 14 pages, 13 figures

Scientific paper

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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