English

Macroscopic vs. microscopic models of circular Quantum Dots

Mesoscale and Nanoscale Physics 2007-05-23 v2

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 50\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.

Keywords

Cite

@article{arxiv.cond-mat/0603591,
  title  = {Macroscopic vs. microscopic models of circular Quantum Dots},
  author = {J. Martorell and D. W. L. Sprung},
  journal= {arXiv preprint arXiv:cond-mat/0603591},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T11:30:08.887Z