J Phys Condens Matter. 2014 Sep 03;26(35):355501. doi: 10.1088/0953-8984/26/35/355501. Epub 2014 Aug 08.

Prediction of quantum dot characteristics through universal scaling relations.

Journal of physics. Condensed matter : an Institute of Physics journal

A Odriazola, A González, E Räsänen

PMID: 25105794 DOI: 10.1088/0953-8984/26/35/355501

Abstract

We derive scaling relations for the electrochemical potential and addition energy of 2D quantum dots charged with N electrons. In the derivation we apply the Thomas-Fermi theory for the harmonic model of a quantum dot in the effective mass approximation. We demonstrate that the resulting scaling relations yield excellent agreement with measured chemical potentials and addition energies for both lateral and vertical quantum dots. Moreover, we show that the scaling relation has predictive power in estimating the confinement strength and the number of electrons trapped in the quantum dot.

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't