Size effects of a nanoobject in magnetic field

A theoretical analysis of physical properties of the effect of size of a nanoobject in the form of a rectangular parallelepiped whose sides a, b, c, are oriented along the OX, OY, OZ, respectively, is carried out. In the framework of the perturbation theory, changes in the electronic spectrum of the...

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Main Authors: B.A. Lukiyanets, D.V. Matulka
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2019-06-01
Series:Condensed Matter Physics
Subjects:
Online Access:https://doi.org/10.5488/CMP.22.23704
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spelling doaj-528738ec5e304da4ba533860be97a0a52020-11-25T02:28:27ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792019-06-012222370410.5488/CMP.22.23704Size effects of a nanoobject in magnetic field B.A. LukiyanetsD.V. MatulkaA theoretical analysis of physical properties of the effect of size of a nanoobject in the form of a rectangular parallelepiped whose sides a, b, c, are oriented along the OX, OY, OZ, respectively, is carried out. In the framework of the perturbation theory, changes in the electronic spectrum of the nanoobject caused by an external magnetic field B, depending on its size, are analyzed. We consider two cases of the fields which are described 1) by the Landau gauge, A(r) = (0, Bx ,0) (B is oriented along the side c) and 2) by A(r) = (Bz, 0, αBy) (α is a parameter; at α = 0, B is directed along OX axis, and at α = 1, B is directed along the diagonal in XOY plane). Firstly, it is shown that the first correction to the spectrum is zero, regardless of B orientation. Secondly, it is established that, in contrast to the case of the field orientation 1), where the correction does not depend on the length of c, in the case 2) such correction depends both on c and on its ratios to the lengths of a and b. There was found the existence of such nanoobject sizes in XOY plane at which the corrections to the spectrum are the same for different lengths of c of the nanoobject. https://doi.org/10.5488/CMP.22.23704nanoobjectmagnetic fieldelectronic spectrumsize effect
collection DOAJ
language English
format Article
sources DOAJ
author B.A. Lukiyanets
D.V. Matulka
spellingShingle B.A. Lukiyanets
D.V. Matulka
Size effects of a nanoobject in magnetic field
Condensed Matter Physics
nanoobject
magnetic field
electronic spectrum
size effect
author_facet B.A. Lukiyanets
D.V. Matulka
author_sort B.A. Lukiyanets
title Size effects of a nanoobject in magnetic field
title_short Size effects of a nanoobject in magnetic field
title_full Size effects of a nanoobject in magnetic field
title_fullStr Size effects of a nanoobject in magnetic field
title_full_unstemmed Size effects of a nanoobject in magnetic field
title_sort size effects of a nanoobject in magnetic field
publisher Institute for Condensed Matter Physics
series Condensed Matter Physics
issn 1607-324X
2224-9079
publishDate 2019-06-01
description A theoretical analysis of physical properties of the effect of size of a nanoobject in the form of a rectangular parallelepiped whose sides a, b, c, are oriented along the OX, OY, OZ, respectively, is carried out. In the framework of the perturbation theory, changes in the electronic spectrum of the nanoobject caused by an external magnetic field B, depending on its size, are analyzed. We consider two cases of the fields which are described 1) by the Landau gauge, A(r) = (0, Bx ,0) (B is oriented along the side c) and 2) by A(r) = (Bz, 0, αBy) (α is a parameter; at α = 0, B is directed along OX axis, and at α = 1, B is directed along the diagonal in XOY plane). Firstly, it is shown that the first correction to the spectrum is zero, regardless of B orientation. Secondly, it is established that, in contrast to the case of the field orientation 1), where the correction does not depend on the length of c, in the case 2) such correction depends both on c and on its ratios to the lengths of a and b. There was found the existence of such nanoobject sizes in XOY plane at which the corrections to the spectrum are the same for different lengths of c of the nanoobject.
topic nanoobject
magnetic field
electronic spectrum
size effect
url https://doi.org/10.5488/CMP.22.23704
work_keys_str_mv AT balukiyanets sizeeffectsofananoobjectinmagneticfield
AT dvmatulka sizeeffectsofananoobjectinmagneticfield
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