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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2017-12-01
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| Series: | Moldavian Journal of the Physical Sciences |
| Online Access: | https://mjps.nanotech.md/archive/2017/article/71458 |
| _version_ | 1818345165999308800 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T16:58:03Z |
| format | Article |
| id | doaj.art-a56d7f8991b641e0987f56e778962231 |
| institution | Directory Open Access Journal |
| issn | 1810-648X 2537-6365 |
| language | English |
| last_indexed | 2024-12-13T16:58:03Z |
| publishDate | 2017-12-01 |
| publisher | D.Ghitu Institute of Electronic Engineering and Nanotechnologies |
| record_format | Article |
| series | Moldavian Journal of the Physical Sciences |
| spelling | doaj.art-a56d7f8991b641e0987f56e7789622312022-12-21T23:37:52ZengD.Ghitu Institute of Electronic Engineering and NanotechnologiesMoldavian Journal of the Physical Sciences1810-648X2537-63652017-12-01163-414917271458Metastable bound states of two-dimensional magnetoexcitons in the lowest landau levels approximationMoscalenco, SveatoslavHadji, PiotrPodlesnîi, IgorDumanov, EvgheniLiberman, MichaelZubac, IonThe 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.https://mjps.nanotech.md/archive/2017/article/71458 |
| spellingShingle | 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 Moldavian Journal of the Physical Sciences |
| title | 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_short | 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 |
| url | https://mjps.nanotech.md/archive/2017/article/71458 |
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