| Issue |
EPL
Volume 107, Number 3, August 2014
|
|
|---|---|---|
| Article Number | 37001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/107/37001 | |
| Published online | 23 July 2014 | |
Flat Thomas-Fermi artificial atoms
1 L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences - 142432, Chernogolovka, Moscow Region, Russia
2 Max Planck Institute for the Physics of Complex Systems - D-01187, Dresden, Germany
3 Department of Physics and Astronomy, University of Southern California - Los Angeles, CA 90089-0484, USA
Received: 26 May 2014
Accepted: 5 July 2014
We consider two-dimensional (2D) “artificial atoms” confined by an axially symmetric potential 
. Such configurations arise in circular quantum dots and other systems effectively restricted to a 2D layer. Using the semiclassical method, we present the first fully self-consistent and analytic solution yielding equations describing the density distribution, energy, and other quantities for any form of and an arbitrary number of confined particles. An essential and nontrivial aspect of the problem is that the 2D density of states must be properly combined with 3D electrostatics. The solution turns out to have a universal form, with scaling parameters 
and 
(R is the dot radius and 
is the effective Bohr radius).
PACS: 71.10.Ca – Electron gas, Fermi gas / 73.21.La – Quantum dots / 31.15.bt – Statistical model calculations (including Thomas-Fermi and Thomas-Fermi-Dirac models)
© EPLA, 2014
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