Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory

The Chern–Simons (C–S) theory developed by Jackiw and Pi [1] and widely used in the theory of the fractional quantum Hall effects (FQHEs) was applied to describe a two-dimensional coplanar electron–hole system in a perpendicular magnetic field interacting with quantum point vortices. The Hamiltonian...

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Autores principales: Moscalenco, Sveatoslav, Moscalenco, Vsevolod
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Lenguaje:EN
Publicado: D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2017
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Acceso en línea:https://doaj.org/article/6ec8bcc9ba2c4a238e351c21b0caa24a
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spelling oai:doaj.org-article:6ec8bcc9ba2c4a238e351c21b0caa24a2021-11-21T11:56:41ZTwo-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory538.915:530.1452537-63651810-648Xhttps://doaj.org/article/6ec8bcc9ba2c4a238e351c21b0caa24a2017-12-01T00:00:00Zhttps://mjps.nanotech.md/archive/2017/article/71457https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365The Chern–Simons (C–S) theory developed by Jackiw and Pi [1] and widely used in the theory of the fractional quantum Hall effects (FQHEs) was applied to describe a two-dimensional coplanar electron–hole system in a perpendicular magnetic field interacting with quantum point vortices. The Hamiltonian of free bare conduction and valence electrons in the periodic lattice potential and the respective wave functions were subjected to the C–S unitary transformation leading to the new Schrodinger equations describing the dressed quasiparticles composed of bare electrons and holes with attached quantum point vortices. It was shown that the numbers of the attached point quantum vortices to each conduction electron and to each hole are the same. In contrast to a one-component two-dimensional electron gas, where the FQHEs were revealed, in the electron–hole system, the C–S vector potential is created together by the electron quantum vortices and by the hole quantum vortices and depends on the difference of the density operators of the two subsystems. In the mean-field approximation, the C–S vector potential and the effective magnetic field generated by it vanish if the average densities of the conduction electrons and holes coincide. Nevertheless, even in this case, the quantum fluctuation of the C–S field will lead to new branches of the collective elementary excitations..   Moscalenco, SveatoslavMoscalenco, VsevolodD.Ghitu Institute of Electronic Engineering and NanotechnologiesarticlePhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 16, Iss 3-4, Pp 133-148 (2017)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
Electronics
TK7800-8360
spellingShingle Physics
QC1-999
Electronics
TK7800-8360
Moscalenco, Sveatoslav
Moscalenco, Vsevolod
Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
description The Chern–Simons (C–S) theory developed by Jackiw and Pi [1] and widely used in the theory of the fractional quantum Hall effects (FQHEs) was applied to describe a two-dimensional coplanar electron–hole system in a perpendicular magnetic field interacting with quantum point vortices. The Hamiltonian of free bare conduction and valence electrons in the periodic lattice potential and the respective wave functions were subjected to the C–S unitary transformation leading to the new Schrodinger equations describing the dressed quasiparticles composed of bare electrons and holes with attached quantum point vortices. It was shown that the numbers of the attached point quantum vortices to each conduction electron and to each hole are the same. In contrast to a one-component two-dimensional electron gas, where the FQHEs were revealed, in the electron–hole system, the C–S vector potential is created together by the electron quantum vortices and by the hole quantum vortices and depends on the difference of the density operators of the two subsystems. In the mean-field approximation, the C–S vector potential and the effective magnetic field generated by it vanish if the average densities of the conduction electrons and holes coincide. Nevertheless, even in this case, the quantum fluctuation of the C–S field will lead to new branches of the collective elementary excitations..   
format article
author Moscalenco, Sveatoslav
Moscalenco, Vsevolod
author_facet Moscalenco, Sveatoslav
Moscalenco, Vsevolod
author_sort Moscalenco, Sveatoslav
title Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
title_short Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
title_full Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
title_fullStr Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
title_full_unstemmed Two-dimensional electron–hole system interacting with quantum point vortices in the frame of the Chern–Simons theory
title_sort two-dimensional electron–hole system interacting with quantum point vortices in the frame of the chern–simons theory
publisher D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate 2017
url https://doaj.org/article/6ec8bcc9ba2c4a238e351c21b0caa24a
work_keys_str_mv AT moscalencosveatoslav twodimensionalelectronholesysteminteractingwithquantumpointvorticesintheframeofthechernsimonstheory
AT moscalencovsevolod twodimensionalelectronholesysteminteractingwithquantumpointvorticesintheframeofthechernsimonstheory
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