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http://dx.doi.org/10.5012/bkcs.2009.30.2.315

On the Size of Quantum Dots with Bound Hydrogenic Impurity States  

Sun, Ho-Sung (Department of Chemistry, Sungkyunkwan University)
Publication Information
Bulletin of the Korean Chemical Society / v.30, no.2, 2009 , pp. 315-318 More about this Journal
Abstract
Some particular bound state energies of an electron, under Coulomb potential field, confined in a two-dimensional circle and a three-dimensional sphere are analytically derived. The derivation shows that the electron cannot be bound in a negative energy state when the circle (or sphere) is smaller than a certain critical size. The critical size dependency on the strength of Coulomb potential and the angular momentum of the electron is also analytically derived. This system mimics quantum dots. Therefore the derivation provides new information on a minimum critical size of quantum dots with hydrogenic impurity.
Keywords
Coulomb potential; Quantum dots; Confluent hypergeometric functions;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
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