Collective elementary excitations of two-dimensional magnetoexcitons in the bose-einstein condensation state with wave vector k = 0
The collective elementary excitations of the two-dimensional magnetoexcitons in a state of Bose-Einstein condensation (BEC) with wave vector k = 0 were investigated in terms of the Bogoliubov theory of quasiaverages. The starting Hamiltonian of the electrons and holes lying on the lowest Land...
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| Autores principales: | , , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
D.Ghitu Institute of Electronic Engineering and Nanotechnologies
2010
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/5b280e15e40442e99e475907596346a4 |
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| Sumario: | The collective elementary excitations of the two-dimensional magnetoexcitons in a state
of Bose-Einstein condensation (BEC) with wave vector k =
0 were investigated in terms of the
Bogoliubov theory of quasiaverages. The starting Hamiltonian of the electrons and holes lying
on the lowest Landau levels (LLLs) contains the supplementary interactions due to the virtual
quantum transitions of the particles to the excited Landau levels (ELLs) and return back. As a
result, the interaction between the magnetoexcitons with k =
0 does not vanish and their BEC
becomes stable as regards the collapse. The energy spectrum of the collective elementary excitations consists of two exciton-type branches (energy and quasienergy branches) each of them
with energy gap and roton-type section, the gapless optical plasmon branch, and the acoustical
plasmon branch, which reveals the absolute instability in the range of small wave vectors. |
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