A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices

In the present work, the Chern–Simons (CS) gauge field theory developed by Jackiw and Pi [8] and widely used to interpret the fractional quantum Hall effects, is applied to describe a two-dimensional (2D) electron–hole (e–h) system in a strong perpendicular magnetic field and under the influence of...

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Autores principales:	Moskalenko Sveatoslav, Moskalenko V., Podlesny Igor, Liberman Michael
Formato:	article
Lenguaje:	EN
Publicado:	D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2021
Materias:	Chern–Simons gauge field quantum point vortices electron–hole system two-dimensional (2D) Strong magnetic field сâmp de etalonare Chern–Simons vârtejuri punctiforme cuantice sistem din electroni și goluri bidimensionali (2D) câmp magnetic puternic Physics QC1-999 Electronics TK7800-8360
Acceso en línea:	https://doi.org/10.53081/mjps.2021.20-1.01 https://doaj.org/article/19023cc3b7d44868bc70e91dde419a3f
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spelling	oai:doaj.org-article:19023cc3b7d44868bc70e91dde419a3f2021-11-21T12:14:02ZA two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vorticeshttps://doi.org/10.53081/mjps.2021.20-1.01538.9+539.17+539.142537-63651810-648Xhttps://doaj.org/article/19023cc3b7d44868bc70e91dde419a3f2021-07-01T00:00:00Zhttps://mjps.nanotech.md/archive/2021/article/134653https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365In the present work, the Chern–Simons (CS) gauge field theory developed by Jackiw and Pi [8] and widely used to interpret the fractional quantum Hall effects, is applied to describe a two-dimensional (2D) electron–hole (e–h) system in a strong perpendicular magnetic field and under the influence of quantum point vortices creating the CS gauge field. Composite particles formed by electrons and holes with equal integer positive numbers Ø of attached quantum point vortices are described by dressed field operators, which obey the Fermi or Bose statistics depending on even or odd numbers Ø . It is shown that the phase operators, as well as the vector and scalar potentials of the CS gauge field, depend on the difference between the electron and hole density operators. They vanish in the mean field approximation, when the average values of electron and hole densities coincide. Nevertheless, even in this case, the quantum fluctuations of the CS gauge field lead to new physics of the 2D e–h system.În lucrarea de față, teoria câmpului de etalonare de tip Chern–Simons (CS), dezvoltată de Jackiw și Pi [8] și pe larg utilizată pentru a explica efectele cuantice fracționale de tip Hall, a fost aplicată pentru a descrie sistemul bidimensional (2D) compus din electroni și goluri (e–h) supuse unui câmp magnetic perpendicular puternic și sub influența vârtejurilor punctiforme cuantice care creează câmpul de etalonare de tip CS. Particulele compozite formate din electroni și din goluri cu numere pozitive întregi egale Ø de vârtejuri punctiforme cuantice atașate sunt descrise de operatorii de câmp modificați, care se supun statisticilor Fermi sau Bose în dependență de numerele pare sau impare Ø ale vârtejurilor atașate. Operatorii, care descriu fază, precum și potențialele vectoriale și scalare ale câmpului de etalonare de tip CS depind de diferența dintre operatorii de densitate ale electronilor și golurilor. Ele se anihilează în aproximarea câmpului mediu atunci când valorile medii ale densităților electronilor și golurilor coincid. Totuși, chiar și Moskalenko SveatoslavMoskalenko V.Podlesny IgorLiberman MichaelD.Ghitu Institute of Electronic Engineering and NanotechnologiesarticleChern–Simons gauge fieldquantum point vorticeselectron–hole systemtwo-dimensional (2D)Strong magnetic fieldсâmp de etalonare Chern–Simonsvârtejuri punctiforme cuanticesistem din electroni și goluri bidimensionali (2D)câmp magnetic puternicPhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 20, Iss 1, Pp 7-34 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Chern–Simons gauge field quantum point vortices electron–hole system two-dimensional (2D) Strong magnetic field сâmp de etalonare Chern–Simons vârtejuri punctiforme cuantice sistem din electroni și goluri bidimensionali (2D) câmp magnetic puternic Physics QC1-999 Electronics TK7800-8360
spellingShingle	Chern–Simons gauge field quantum point vortices electron–hole system two-dimensional (2D) Strong magnetic field сâmp de etalonare Chern–Simons vârtejuri punctiforme cuantice sistem din electroni și goluri bidimensionali (2D) câmp magnetic puternic Physics QC1-999 Electronics TK7800-8360 Moskalenko Sveatoslav Moskalenko V. Podlesny Igor Liberman Michael A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
description	In the present work, the Chern–Simons (CS) gauge field theory developed by Jackiw and Pi [8] and widely used to interpret the fractional quantum Hall effects, is applied to describe a two-dimensional (2D) electron–hole (e–h) system in a strong perpendicular magnetic field and under the influence of quantum point vortices creating the CS gauge field. Composite particles formed by electrons and holes with equal integer positive numbers Ø of attached quantum point vortices are described by dressed field operators, which obey the Fermi or Bose statistics depending on even or odd numbers Ø . It is shown that the phase operators, as well as the vector and scalar potentials of the CS gauge field, depend on the difference between the electron and hole density operators. They vanish in the mean field approximation, when the average values of electron and hole densities coincide. Nevertheless, even in this case, the quantum fluctuations of the CS gauge field lead to new physics of the 2D e–h system.În lucrarea de față, teoria câmpului de etalonare de tip Chern–Simons (CS), dezvoltată de Jackiw și Pi [8] și pe larg utilizată pentru a explica efectele cuantice fracționale de tip Hall, a fost aplicată pentru a descrie sistemul bidimensional (2D) compus din electroni și goluri (e–h) supuse unui câmp magnetic perpendicular puternic și sub influența vârtejurilor punctiforme cuantice care creează câmpul de etalonare de tip CS. Particulele compozite formate din electroni și din goluri cu numere pozitive întregi egale Ø de vârtejuri punctiforme cuantice atașate sunt descrise de operatorii de câmp modificați, care se supun statisticilor Fermi sau Bose în dependență de numerele pare sau impare Ø ale vârtejurilor atașate. Operatorii, care descriu fază, precum și potențialele vectoriale și scalare ale câmpului de etalonare de tip CS depind de diferența dintre operatorii de densitate ale electronilor și golurilor. Ele se anihilează în aproximarea câmpului mediu atunci când valorile medii ale densităților electronilor și golurilor coincid. Totuși, chiar și
format	article
author	Moskalenko Sveatoslav Moskalenko V. Podlesny Igor Liberman Michael
author_facet	Moskalenko Sveatoslav Moskalenko V. Podlesny Igor Liberman Michael
author_sort	Moskalenko Sveatoslav
title	A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
title_short	A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
title_full	A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
title_fullStr	A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
title_full_unstemmed	A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
title_sort	two–dimensional electron–hole system under the influence of the chern–simons gauge field created by quantum point vortices
publisher	D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate	2021
url	https://doi.org/10.53081/mjps.2021.20-1.01 https://doaj.org/article/19023cc3b7d44868bc70e91dde419a3f
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A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices

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