Archive: 2005 - Moldavian Journal of the Physical Sciences

05 Mar 2005

2005
V. 4
2
(p.142 - 196)

Colective elementary excitations of bose-einstein condensed two-dimensional magnetoexcitons strongly interacting with electrom-hole plasma

Authors:

Moscalenco, Sveatoslav; Dumanov, Evgheni; Podlesnîi, Igor; Boţan, Victor; Liberman, Michael

Summary:

The collective elementary excitations of a system of Bose-Einstein condensed two- dimensional magnetoexcitons interacting with electron-hole(e-h) plasma in a strong perpendicular magnetic field are studied. The breaking of the gauge symmetry is introduced into the Hamiltonian following the Bogoliubov`s theory of quasiaverages. The motion equations for the summary operators describing the creation and annihilation of magnetoexcitons as well as the density fluctuations of the electronhole(e-h) plasma were derived. They suggest the existence of magneto-exciton-plasmon complexes, the energies of which differ by the energies of one or two plasmon quanta. Starting with these motion equations one can study the Bose-Einstein Condensation (BEC) of different magneto-exciton-plasmon complexes introducing different constants of the broken symmetry correlated with their energies. The Green`s functions constructed from these summary operators are two-particle Green`s functions. They obey the chains of equations expressing the two-particle Green`s functions through the four-particle and six-particle Green`s functions. These chains were truncated in such a way that the six-particle Green`s functions, were expressed through the two-particle ones. At the same time the elementary excitations with different wave vectors were decoupled. As a result of these simplifications the Dyson-type equation in a matrix form for the two-particle Green`s functions was obtained. The determinant constructed from the self-energy part 44 × ( , ) ij P ω ∑ G gives rise to dispersion equation. The dispersion relations were obtained in analytical form, when in the self-energy parts ( , ) ij P ω ∑ G only the terms linear in Coulomb interaction were kept. Taking into account also the terms quadratic in Coulomb interaction the dispersion equation becomes cumbersome and it can be solved only numerically.

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perpendicular magnetic field are studied. The breaking of the gauge symmetry is introduced 
into the Hamiltonian following the Bogoliubov`s theory of quasiaverages. 

The motion equations for the summary  operators describing the creation and annihilation of magnetoexcitons as well as the density fluctuations of the electronhole(e-h) plasma were derived. They suggest the existence of magneto-exciton-plasmon complexes, the 
energies of which differ by the energies of one or two plasmon quanta. 
Starting with these motion equations one  can study the Bose-Einstein Condensation 
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broken symmetry correlated with their energies. The Green`s functions constructed from these 
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the Dyson-type equation in a matrix form for the two-particle Green`s functions was obtained. 
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 gives rise to 
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BibTeX

@article{ibn_3176,
author = {Moscalenco, S.A. and Dumanov, E.V. and Podlesnîi, I.V. and Boţan, V.I. and Liberman, M.A.},
title = {Colective elementary excitations of bose-einstein condensed two-dimensional magnetoexcitons strongly interacting with electrom-hole plasma },
journal = {Moldavian Journal of the Physical Sciences},
year = {2005},
volume = {4 (2)},
pages = {142-196},
month = {Mar},
abstract = {(EN) The collective elementary excitations of  a system of Bose-Einstein condensed two-

dimensional magnetoexcitons interacting with electron-hole(e-h) plasma in a strong 

perpendicular magnetic field are studied. The breaking of the gauge symmetry is introduced 
into the Hamiltonian following the Bogoliubov`s theory of quasiaverages. 

The motion equations for the summary  operators describing the creation and annihilation of magnetoexcitons as well as the density fluctuations of the electronhole(e-h) plasma were derived. They suggest the existence of magneto-exciton-plasmon complexes, the 
energies of which differ by the energies of one or two plasmon quanta. 
Starting with these motion equations one  can study the Bose-Einstein Condensation 
(BEC) of different magneto-exciton-plasmon complexes introducing different constants of the 
broken symmetry correlated with their energies. The Green`s functions constructed from these 
summary operators are two-particle Green`s functions. They obey the chains of equations expressing the two-particle Green`s functions through the four-particle  and six-particle 
Green`s functions. These chains were truncated  in such a way that the six-particle Green`s 
functions, were expressed through the two-particle ones. At the same time the elementary excitations with different wave vectors were decoupled. As a result of these simplifications 
the Dyson-type equation in a matrix form for the two-particle Green`s functions was obtained. 
The determinant constructed from the self-energy part  44 × ( , ) ij P ω ∑
 G

 gives rise to 
dispersion equation. The dispersion relations were obtained in  analytical form, when in the 
self-energy parts  ( , ) ij P ω ∑
 G only the terms linear  in Coulomb interaction were kept. Taking 
into account also the terms quadratic in Coulomb interaction the dispersion equation becomes 
cumbersome and it can be solved only numerically.     },
url = {https://ibn.idsi.md/vizualizare_articol/3176},
}

DataCite

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<title xml:lang='ro'>Colective elementary excitations of bose-einstein condensed two-dimensional magnetoexcitons strongly interacting with electrom-hole plasma </title>
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<description xml:lang='en' descriptionType='Abstract'>The collective elementary excitations of  a system of Bose-Einstein condensed two-

dimensional magnetoexcitons interacting with electron-hole(e-h) plasma in a strong 

perpendicular magnetic field are studied. The breaking of the gauge symmetry is introduced 
into the Hamiltonian following the Bogoliubov`s theory of quasiaverages. 

The motion equations for the summary  operators describing the creation and annihilation of magnetoexcitons as well as the density fluctuations of the electronhole(e-h) plasma were derived. They suggest the existence of magneto-exciton-plasmon complexes, the 
energies of which differ by the energies of one or two plasmon quanta. 
Starting with these motion equations one  can study the Bose-Einstein Condensation 
(BEC) of different magneto-exciton-plasmon complexes introducing different constants of the 
broken symmetry correlated with their energies. The Green`s functions constructed from these 
summary operators are two-particle Green`s functions. They obey the chains of equations expressing the two-particle Green`s functions through the four-particle  and six-particle 
Green`s functions. These chains were truncated  in such a way that the six-particle Green`s 
functions, were expressed through the two-particle ones. At the same time the elementary excitations with different wave vectors were decoupled. As a result of these simplifications 
the Dyson-type equation in a matrix form for the two-particle Green`s functions was obtained. 
The determinant constructed from the self-energy part  44 × ( , ) ij P ω ∑
 G

 gives rise to 
dispersion equation. The dispersion relations were obtained in  analytical form, when in the 
self-energy parts  ( , ) ij P ω ∑
 G only the terms linear  in Coulomb interaction were kept. Taking 
into account also the terms quadratic in Coulomb interaction the dispersion equation becomes 
cumbersome and it can be solved only numerically.     </description>
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Dublin Core

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<dc:creator>Moscalenco, S.A.</dc:creator>
<dc:creator>Dumanov, E.V.</dc:creator>
<dc:creator>Podlesnîi, I.V.</dc:creator>
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<dc:date>2005-03-05</dc:date>
<dc:description xml:lang='en'>The collective elementary excitations of  a system of Bose-Einstein condensed two-

dimensional magnetoexcitons interacting with electron-hole(e-h) plasma in a strong 

perpendicular magnetic field are studied. The breaking of the gauge symmetry is introduced 
into the Hamiltonian following the Bogoliubov`s theory of quasiaverages. 

The motion equations for the summary  operators describing the creation and annihilation of magnetoexcitons as well as the density fluctuations of the electronhole(e-h) plasma were derived. They suggest the existence of magneto-exciton-plasmon complexes, the 
energies of which differ by the energies of one or two plasmon quanta. 
Starting with these motion equations one  can study the Bose-Einstein Condensation 
(BEC) of different magneto-exciton-plasmon complexes introducing different constants of the 
broken symmetry correlated with their energies. The Green`s functions constructed from these 
summary operators are two-particle Green`s functions. They obey the chains of equations expressing the two-particle Green`s functions through the four-particle  and six-particle 
Green`s functions. These chains were truncated  in such a way that the six-particle Green`s 
functions, were expressed through the two-particle ones. At the same time the elementary excitations with different wave vectors were decoupled. As a result of these simplifications 
the Dyson-type equation in a matrix form for the two-particle Green`s functions was obtained. 
The determinant constructed from the self-energy part  44 × ( , ) ij P ω ∑
 G

 gives rise to 
dispersion equation. The dispersion relations were obtained in  analytical form, when in the 
self-energy parts  ( , ) ij P ω ∑
 G only the terms linear  in Coulomb interaction were kept. Taking 
into account also the terms quadratic in Coulomb interaction the dispersion equation becomes 
cumbersome and it can be solved only numerically.     </dc:description>
<dc:source>Moldavian Journal of the Physical Sciences 4 (2) 142-196</dc:source>
<dc:title>Colective elementary excitations of bose-einstein condensed two-dimensional magnetoexcitons strongly interacting with electrom-hole plasma </dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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“ ... ”

SM ISO690:2012

MOSCALENCO, Sveatoslav; DUMANOV, Evgheni; PODLESNÎI, Igor; BOŢAN, Victor; LIBERMAN, Michael. Colective elementary excitations of bose-einstein condensed two-dimensional magnetoexcitons strongly interacting with electrom-hole plasma . In: Moldavian Journal of the Physical Sciences. 2005, nr. 2(4), pp. 142-196. ISSN 1810-648X.