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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Autores principales:	Moscalenco, Sveatoslav, Liberman, Michael, Dumanov, Evgheni, Novikov, Boris, Kiseliova, Elena, Cerbu, Florin
Formato:	article
Lenguaje:	EN
Publicado:	D.Ghitu Institute of Electronic Engineering and Nanotechnologies 2012
Materias:	Physics QC1-999 Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/4fb8c99ee6794cbfa2e0e5529ad5a31b
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spelling	oai:doaj.org-article:4fb8c99ee6794cbfa2e0e5529ad5a31b2021-11-21T12:01:34ZThe nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons2537-63651810-648Xhttps://doaj.org/article/4fb8c99ee6794cbfa2e0e5529ad5a31b2012-01-01T00:00:00Zhttps://mjps.nanotech.md/archive/2012/article/18991https://doaj.org/toc/1810-648Xhttps://doaj.org/toc/2537-6365The 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.Moscalenco, SveatoslavLiberman, MichaelDumanov, EvgheniNovikov, BorisKiseliova, ElenaCerbu, FlorinD.Ghitu Institute of Electronic Engineering and NanotechnologiesarticlePhysicsQC1-999ElectronicsTK7800-8360ENMoldavian Journal of the Physical Sciences, Vol 11, Iss 1-2, Pp 23-36 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronics TK7800-8360
spellingShingle	Physics QC1-999 Electronics TK7800-8360 Moscalenco, Sveatoslav Liberman, Michael Dumanov, Evgheni Novikov, Boris Kiseliova, Elena Cerbu, Florin The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons
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.
format	article
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
title	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_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_sort	nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons
publisher	D.Ghitu Institute of Electronic Engineering and Nanotechnologies
publishDate	2012
url	https://doaj.org/article/4fb8c99ee6794cbfa2e0e5529ad5a31b
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The nambu-goldstone modes of bose-einstein condensed two-dimensional magnetoexcitons

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