Binding energy of an off-centre hydrogenic donor impurity in a spherical quantum dot

• Published in: Physica Status Solidi (b) Vol. 244; no. 10; pp. 3647 - 3659
• Main Authors: Mikhail, I. F. I., Ismail, I. M. M.
• Format: Journal Article
• Language: English
• Published: Berlin WILEY-VCH Verlag 01.10.2007; WILEY‐VCH Verlag; Wiley
• Subjects: 71.55.−i; 73.21.La; Cross-disciplinary physics: materials science; rheology; Exact sciences and technology; Materials science; Nanoscale materials and structures: fabrication and characterization; Physics; Quantum dots; H-like ions; Spherical shape; Energy levels; Ground states; Impurities; Variational methods; Quantum dots; Binding energy; Donor center
• ISSN: 0370-1972; 1521-3951
• DOI: 10.1002/pssb.200642618

A variational calculation is given of the binding energy of an off‐centre hydrogenic donor impurity placed in a spherical quantum dot. The study is restricted to the ground state binding energy in the quantum dot. The cases of both infinite and finite confining potentials are considered. The variation of the binding energy as a function of the dot radius and as a function of the impurity position has been investigated. In the case of high finite confining potentials, the initial deviation of the binding energy from the result of infinite potential has been derived. The critical impurity location at which the deviation in the binding energy due to any finite confining potential changes its sign has been determined. The maximum binding energy and the dot radius at which it occurs have further been calculated for any confining potential or any impurity location. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)