Hole, impurity and exciton states in a spherical quantum dot

The 3x3 kp hole Hamiltonian for the wave-function envelopes (effective mass Hamiltonian) was used for calculation of discrete states of the hole and acceptor hydrogenic impurity in a spherical Si/SiO2 nanoheterostructure as a function of the quantum dot radius by neglecting the corrugation of consta...

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Bibliographic Details
Date:2010
Main Authors: Boichuk, V.I., Bilynskyi, I.V., Leshko, R.Ya.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2010
Series:Condensed Matter Physics
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/32046
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hole, impurity and exciton states in a spherical quantum dot / V.I. Boichuk, I.V. Bilynskyi, R.Ya. Leshko // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13702: 1-12. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The 3x3 kp hole Hamiltonian for the wave-function envelopes (effective mass Hamiltonian) was used for calculation of discrete states of the hole and acceptor hydrogenic impurity in a spherical Si/SiO2 nanoheterostructure as a function of the quantum dot radius by neglecting the corrugation of constant-energy surfaces. A study was conducted in the case of finite potential well at the separation boundary of the nanoheterosystem. The dependence of the hole energy spectrum on polarization charges, which arise at the separation boundary of the media, and on the dielectric permittivity, was defined. Using the exact electron and hole solutions, the exciton wave-function was constructed and the exciton ground-state energy was defined. The theoretical results have been compared with experimental data.