Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation

The possible existence of the two-dimensional bimagnetoexcitons and metastable bound states formed by two magnetoexcitons with opposite in-plane wave vectors and has been studied. Magnetoexcitons taking part in the formation of molecules look as two electric dipoles with the arms oriented in-plane p...

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Autores principales:	Moscalenco, Sveatoslav, Hadji, Piotr, Podlesnîi, Igor, Dumanov, Evgheni, Liberman, Michael, Zubac, Ion
Formato:	article
Lenguaje:	EN
Publicado:	D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2017
Materias:	Physics QC1-999 Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/a56d7f8991b641e0987f56e778962231
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spelling	oai:doaj.org-article:a56d7f8991b641e0987f56e7789622312021-11-21T11:56:42ZMetastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation532537-63651810-648Xhttps://doaj.org/article/a56d7f8991b641e0987f56e7789622312017-12-01T00:00:00Zhttps://mjps.nanotech.md/archive/2017/article/71458https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365The possible existence of the two-dimensional bimagnetoexcitons and metastable bound states formed by two magnetoexcitons with opposite in-plane wave vectors and has been studied. Magnetoexcitons taking part in the formation of molecules look as two electric dipoles with the arms oriented in-plane perpendicular to the respective wave vectors and with the length of the arms where is the magnetic length. Two antiparallel dipoles moving with equal, yet antiparallel, wave vectors have the possibility of moving with equal probability in any direction of the plane, which is determined by the trial wave function of relative motion depending on modulus The magnetoexcitons are composed of electrons and holes situated on the lowest Landau levels with the cyclotron energies greater than the binding energy of the 2D Wannier–Mott exciton. The description has been made in Landau gauge. The spin states of two electrons have been chosen in the form of antisymmetric or symmetric combinations with parameter The effective spins of two heavy holes have been combined in the same resultant spinor states as the spin of the electrons. Because the projections of the both spinor states with are equal to zero, the influence of the Zeeman splitting effect vanishes. In the case of trial wave function , the maximal density of the magnetoexcitons in the momentum space is concentrated on the in-plane ring with radius In the approximation of the lowest Landau levels, when the influence of the excited Landau levels is neglected, stable bound states of bimagnetoexcitons do not exist for both spin orientations. Instead, in the case of and , a deep metastable bound state with the activation barrier comparable with two magnetoexciton ionization potentials has been revealed. In the case of and , only a shallow metastable bound state can appear.Moscalenco, SveatoslavHadji, PiotrPodlesnîi, IgorDumanov, EvgheniLiberman, MichaelZubac, IonD.Ghitu Institute of Electronic Engineering and NanotechnologiesarticlePhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 16, Iss 3-4, Pp 149-172 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronics TK7800-8360
spellingShingle	Physics QC1-999 Electronics TK7800-8360 Moscalenco, Sveatoslav Hadji, Piotr Podlesnîi, Igor Dumanov, Evgheni Liberman, Michael Zubac, Ion Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
description	The possible existence of the two-dimensional bimagnetoexcitons and metastable bound states formed by two magnetoexcitons with opposite in-plane wave vectors and has been studied. Magnetoexcitons taking part in the formation of molecules look as two electric dipoles with the arms oriented in-plane perpendicular to the respective wave vectors and with the length of the arms where is the magnetic length. Two antiparallel dipoles moving with equal, yet antiparallel, wave vectors have the possibility of moving with equal probability in any direction of the plane, which is determined by the trial wave function of relative motion depending on modulus The magnetoexcitons are composed of electrons and holes situated on the lowest Landau levels with the cyclotron energies greater than the binding energy of the 2D Wannier–Mott exciton. The description has been made in Landau gauge. The spin states of two electrons have been chosen in the form of antisymmetric or symmetric combinations with parameter The effective spins of two heavy holes have been combined in the same resultant spinor states as the spin of the electrons. Because the projections of the both spinor states with are equal to zero, the influence of the Zeeman splitting effect vanishes. In the case of trial wave function , the maximal density of the magnetoexcitons in the momentum space is concentrated on the in-plane ring with radius In the approximation of the lowest Landau levels, when the influence of the excited Landau levels is neglected, stable bound states of bimagnetoexcitons do not exist for both spin orientations. Instead, in the case of and , a deep metastable bound state with the activation barrier comparable with two magnetoexciton ionization potentials has been revealed. In the case of and , only a shallow metastable bound state can appear.
format	article
author	Moscalenco, Sveatoslav Hadji, Piotr Podlesnîi, Igor Dumanov, Evgheni Liberman, Michael Zubac, Ion
author_facet	Moscalenco, Sveatoslav Hadji, Piotr Podlesnîi, Igor Dumanov, Evgheni Liberman, Michael Zubac, Ion
author_sort	Moscalenco, Sveatoslav
title	Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
title_short	Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
title_full	Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
title_fullStr	Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
title_full_unstemmed	Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
title_sort	metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation
publisher	D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate	2017
url	https://doaj.org/article/a56d7f8991b641e0987f56e778962231
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_version_	1718419381310980096

Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximation

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