A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices
CZU: 538.9+539.17+539.14
DOI: https://doi.org/10.53081/mjps.2021.20-1.01
Authors:
Moskalenko Sveatoslav; Moskalenko V.; Podlesny Igor; Liberman Michael
Summary:
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
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<meta name="citation_title" content="<p>A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices</p>"> <meta name="citation_author" content="Moskalenko Sveatoslav"> <meta name="citation_author" content="Moskalenko V."> <meta name="citation_author" content="Podlesny Igor"> <meta name="citation_author" content="Liberman Michael"> <meta name="citation_publication_date" content="2021/07/06"> <meta name="citation_journal_title" content="Moldavian Journal of the Physical Sciences"> <meta name="citation_volume" content="20"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" content="7"> <meta name="citation_lastpage" content="34"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/7-34_1.pdf">
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CERIF
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DataCite
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <identifier identifierType='DOI'>10.53081/mjps.2021.20-1.01</identifier> <creators> <creator> <creatorName>Moscalenco, S.A.</creatorName> <affiliation>Institutul de Fizică Aplicată, Moldova, Republica</affiliation> </creator> <creator> <creatorName>Moscalenco, V.A.</creatorName> <affiliation>Institutul de Fizică Aplicată, Moldova, Republica</affiliation> </creator> <creator> <creatorName>Podlesnîi, I.V.</creatorName> <affiliation>Institutul de Fizică Aplicată, Moldova, Republica</affiliation> </creator> <creator> <creatorName>Liberman, M.A.</creatorName> <affiliation>Nordic Institute for Theoretical Physics (NORDITA) KTH, Suedia</affiliation> </creator> </creators> <titles> <title xml:lang='en'><p>A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices</p></title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>2021</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1810-648X</relatedIdentifier> <subjects> <subject>Chern–Simons gauge field</subject> <subject>quantum point vortices</subject> <subject>electron–hole system</subject> <subject>two-dimensional (2D)</subject> <subject>Strong magnetic field</subject> <subject>сâmp de etalonare Chern–Simons</subject> <subject>vârtejuri punctiforme cuantice</subject> <subject>sistem din electroni și goluri bidimensionali (2D)</subject> <subject>câmp magnetic puternic</subject> <subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>538.9+539.17+539.14</subject> </subjects> <dates> <date dateType='Issued'>2021-07-06</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'><p>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 <strong>Ø</strong> of attached quantum point vortices are described by dressed field operators, which obey the Fermi or Bose statistics depending on even or odd numbers <strong>Ø</strong> . 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.</p></description> <description xml:lang='ro' descriptionType='Abstract'><p>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 <strong>Ø</strong> 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 <strong>Ø</strong> 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</p></description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>
Dublin Core
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Moscalenco, S.A.</dc:creator> <dc:creator>Moscalenco, V.A.</dc:creator> <dc:creator>Podlesnîi, I.V.</dc:creator> <dc:creator>Liberman, M.A.</dc:creator> <dc:date>2021-07-06</dc:date> <dc:description xml:lang='en'><p>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 <strong>Ø</strong> of attached quantum point vortices are described by dressed field operators, which obey the Fermi or Bose statistics depending on even or odd numbers <strong>Ø</strong> . 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.</p></dc:description> <dc:description xml:lang='ro'><p>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 <strong>Ø</strong> 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 <strong>Ø</strong> 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</p></dc:description> <dc:identifier>10.53081/mjps.2021.20-1.01</dc:identifier> <dc:source>Moldavian Journal of the Physical Sciences 20 (1) 7-34</dc:source> <dc:subject>Chern–Simons gauge field</dc:subject> <dc:subject>quantum point vortices</dc:subject> <dc:subject>electron–hole system</dc:subject> <dc:subject>two-dimensional (2D)</dc:subject> <dc:subject>Strong magnetic field</dc:subject> <dc:subject>сâmp de etalonare Chern–Simons</dc:subject> <dc:subject>vârtejuri punctiforme cuantice</dc:subject> <dc:subject>sistem din electroni și goluri bidimensionali (2D)</dc:subject> <dc:subject>câmp magnetic puternic</dc:subject> <dc:title><p>A two–dimensional electron–hole system under the influence of the Chern–Simons gauge field created by quantum point vortices</p></dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>