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Binding energy of a hydrogenic impurity in a 2D circular quantum dot

✍ Scribed by Y.P. Varshni

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 188 KB
Volume: 30
Category: Article
ISSN: 0749-6036
DOI: 10.1006/spmi.2001.1012

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✦ Synopsis

The binding energies of hydrogenic impurity states with an impurity atom located at the center of a two-dimensional circular quantum dot confined by an infinite barrier potential are studied as a function of the dot radius and of the screening parameter in the potential. Accurate binding energies are obtained for the 1s, 2s and 2p states by numerical integration of the 2D Schrödinger equation. The binding energies are found to increase with a decrease in the dot radius, and decrease with an increase in the value of the screening parameter q s in all cases. Further the levels become unbound at a finite value of the dot radius.

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