Properties of a charge in the nanoheterosystems with quantum wells and barriers

Properties of a charge in the nanoheterosystems with quantum wells and barriers

In the paper a quasi-one-dimensional three-layer nanowire (NW) with an intermediate layer at the separation boundaries is described by the Kronig-Penney model with δ-function potentials. The distance between the last or supreme atoms of the intermediate layer is a parameter of the problem and ranges...

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Дата:2010
Автори: Boichuk, V.I., Bilynskyi, I.V., Shakleina, I.O., Holskyi, V.B.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2010
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/32045
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Properties of a charge in the nanoheterosystems with quantum wells and barriers / V.I. Boichuk, I.V. Bilynskyi, I.O. Shakleina, V.B. Holskyi // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13701: 1-11. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-320452012-04-07T12:21:14Z Properties of a charge in the nanoheterosystems with quantum wells and barriers Boichuk, V.I. Bilynskyi, I.V. Shakleina, I.O. Holskyi, V.B. In the paper a quasi-one-dimensional three-layer nanowire (NW) with an intermediate layer at the separation boundaries is described by the Kronig-Penney model with δ-function potentials. The distance between the last or supreme atoms of the intermediate layer is a parameter of the problem and ranges from zero to two lattice parameters of crystals. A precise solution is obtained for the quantum-mechanical reflection coefficient R which makes it possible to determine the dependence of the factor on a wave vector, widths of an intermediate layer and a monolayer of the nanoheterostructure. The specific calculations are performed for the GaAs/AlAs/GaAs and AlAs/GaAs/AlAS nanowires. The comparison of the reflection coefficients in the envelope-function approximation and in the effective mass method is performed at small values of a wave vector. It is shown that similar results can be received using the refined procedure, originally proposed by Harrison, with appropriately taken parameters. For the cosinusoidal dependence of the energy on a wave vector which arises in the Kronig-Penney model within the framework of the S-matrix scattering method, we determined the binding states energy for a AlAs/GaAs/AlAs quantum well wire. 2010 Article Properties of a charge in the nanoheterosystems with quantum wells and barriers / V.I. Boichuk, I.V. Bilynskyi, I.O. Shakleina, V.B. Holskyi // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13701: 1-11. — Бібліогр.: 24 назв. — англ. 1607-324X PACS: 71.55.-i, 73.21.La, 79.60.Jv http://dspace.nbuv.gov.ua/handle/123456789/32045 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In the paper a quasi-one-dimensional three-layer nanowire (NW) with an intermediate layer at the separation boundaries is described by the Kronig-Penney model with δ-function potentials. The distance between the last or supreme atoms of the intermediate layer is a parameter of the problem and ranges from zero to two lattice parameters of crystals. A precise solution is obtained for the quantum-mechanical reflection coefficient R which makes it possible to determine the dependence of the factor on a wave vector, widths of an intermediate layer and a monolayer of the nanoheterostructure. The specific calculations are performed for the GaAs/AlAs/GaAs and AlAs/GaAs/AlAS nanowires. The comparison of the reflection coefficients in the envelope-function approximation and in the effective mass method is performed at small values of a wave vector. It is shown that similar results can be received using the refined procedure, originally proposed by Harrison, with appropriately taken parameters. For the cosinusoidal dependence of the energy on a wave vector which arises in the Kronig-Penney model within the framework of the S-matrix scattering method, we determined the binding states energy for a AlAs/GaAs/AlAs quantum well wire.
format Article
author Boichuk, V.I.
Bilynskyi, I.V.
Shakleina, I.O.
Holskyi, V.B.
spellingShingle Boichuk, V.I.
Bilynskyi, I.V.
Shakleina, I.O.
Holskyi, V.B.
Properties of a charge in the nanoheterosystems with quantum wells and barriers
Condensed Matter Physics
author_facet Boichuk, V.I.
Bilynskyi, I.V.
Shakleina, I.O.
Holskyi, V.B.
author_sort Boichuk, V.I.
title Properties of a charge in the nanoheterosystems with quantum wells and barriers
title_short Properties of a charge in the nanoheterosystems with quantum wells and barriers
title_full Properties of a charge in the nanoheterosystems with quantum wells and barriers
title_fullStr Properties of a charge in the nanoheterosystems with quantum wells and barriers
title_full_unstemmed Properties of a charge in the nanoheterosystems with quantum wells and barriers
title_sort properties of a charge in the nanoheterosystems with quantum wells and barriers
publisher Інститут фізики конденсованих систем НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/32045
citation_txt Properties of a charge in the nanoheterosystems with quantum wells and barriers / V.I. Boichuk, I.V. Bilynskyi, I.O. Shakleina, V.B. Holskyi // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13701: 1-11. — Бібліогр.: 24 назв. — англ.
series Condensed Matter Physics
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first_indexed 2023-10-18T17:33:51Z
last_indexed 2023-10-18T17:33:51Z
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