The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons
The collective elementary excitations of the two-dimensional (2D) electron-hole systems in a strong perpendicular magnetic field are discussed from the point of view of the Bogoliubov [1]and Goldstone [2] theorems concerning the many-body Hamiltonian with continuous symmetries,continuously degenerat...
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| Format: | Article |
| Language: | English |
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D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2012-01-01
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| Series: | Moldavian Journal of the Physical Sciences |
| Online Access: | https://mjps.nanotech.md/archive/2012/article/18991 |
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| author | Moscalenco, Sveatoslav Liberman, Michael Dumanov, Evgheni Novikov, Boris Kiseliova, Elena Cerbu, Florin |
| author_facet | Moscalenco, Sveatoslav Liberman, Michael Dumanov, Evgheni Novikov, Boris Kiseliova, Elena Cerbu, Florin |
| author_sort | Moscalenco, Sveatoslav |
| collection | DOAJ |
| description | The collective elementary excitations of the two-dimensional (2D) electron-hole systems in a strong perpendicular magnetic field are discussed from the point of view of the Bogoliubov [1]and Goldstone [2] theorems concerning the many-body Hamiltonian with continuous symmetries,continuously degenerate ground states, forming a ring of minima on the energy scale in
dependence on the phase of the field operator. This system due to the quantum fluctuations does select a concrete ground state with a fixed phase of the field operator forming a ground state with a spontaneously broken continuous symmetry [1-3]. The collective excitation of this new ground state related only with the changes of the field operator phase without changing its amplitude leads to the quantum transitions along the ring of the minima and does not need excitation energy in the long wavelength limit. This type of gapless excitations is referred to as Nambu-Goldstone
modes [2-8]. They are equivalent to massless particles in the relativistic physics. The concrete realization of these theorems in the case of 2D magnetoexcitons with direct implications of the plasmon-type excitations side by side with the exciton ones is discussed below in terms of the Bogoliubov [1] theory of quasiaverages. |
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| id | doaj.art-4fb8c99ee6794cbfa2e0e5529ad5a31b |
| institution | Directory Open Access Journal |
| issn | 1810-648X 2537-6365 |
| language | English |
| last_indexed | 2024-12-19T04:40:19Z |
| publishDate | 2012-01-01 |
| publisher | D.Ghitu Institute of Electronic Engineering and Nanotechnologies |
| record_format | Article |
| series | Moldavian Journal of the Physical Sciences |
| spelling | doaj.art-4fb8c99ee6794cbfa2e0e5529ad5a31b2022-12-21T20:35:38ZengD.Ghitu Institute of Electronic Engineering and NanotechnologiesMoldavian Journal of the Physical Sciences1810-648X2537-63652012-01-01111-2233618991The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitonsMoscalenco, SveatoslavLiberman, MichaelDumanov, EvgheniNovikov, BorisKiseliova, ElenaCerbu, FlorinThe collective elementary excitations of the two-dimensional (2D) electron-hole systems in a strong perpendicular magnetic field are discussed from the point of view of the Bogoliubov [1]and Goldstone [2] theorems concerning the many-body Hamiltonian with continuous symmetries,continuously degenerate ground states, forming a ring of minima on the energy scale in dependence on the phase of the field operator. This system due to the quantum fluctuations does select a concrete ground state with a fixed phase of the field operator forming a ground state with a spontaneously broken continuous symmetry [1-3]. The collective excitation of this new ground state related only with the changes of the field operator phase without changing its amplitude leads to the quantum transitions along the ring of the minima and does not need excitation energy in the long wavelength limit. This type of gapless excitations is referred to as Nambu-Goldstone modes [2-8]. They are equivalent to massless particles in the relativistic physics. The concrete realization of these theorems in the case of 2D magnetoexcitons with direct implications of the plasmon-type excitations side by side with the exciton ones is discussed below in terms of the Bogoliubov [1] theory of quasiaverages.https://mjps.nanotech.md/archive/2012/article/18991 |
| spellingShingle | Moscalenco, Sveatoslav Liberman, Michael Dumanov, Evgheni Novikov, Boris Kiseliova, Elena Cerbu, Florin The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons Moldavian Journal of the Physical Sciences |
| title | The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons |
| title_full | The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons |
| title_fullStr | The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons |
| title_full_unstemmed | The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons |
| title_short | The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons |
| title_sort | nambu goldstone modes of bose einstein condensed two dimensional magnetoexcitons |
| url | https://mjps.nanotech.md/archive/2012/article/18991 |
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