J. Martorell, D. W. L. Sprung
Published 2006-03-22, updated 2007-02-15Version 2
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.
Comments: original: 16 pages, 14 figures revision: reduced size to 14 pages, 13 figures
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