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Proceedings Paper

The collective elementary excitations of 2D magnetoexcitons in the BEC state with wave vector k=0
Author(s): S. A. Moskalenko; M. A. Liberman; E. V. Dumanov
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Paper Abstract

The energy spectrum of the collective elementary excitations of a 2D electrom-hole (e-h) system situated in a strong perpendicular magnetic field in a state of Bose-Einstein condensation (BEC) with wave vector k=0 was investigated in the frame of Bogoliubov theory of quasiaveraes. The starting Hamiltonian describing the e-h system contains not only the Coulomb interaction between the particles lying on the lowest Landau levels(LLLs), but also the supplementary interaction due to their virtual quantum transitions from the LLLs to the excited Landau levels and return back. This supplementary interaction generates after the averaging on the ground BCS-type state wave function the direct Hartree-type terms with attractive character, the exchange Fock-type terms giving rise to repulsion as well as the similar terms arising after the Bogoliubov u - v transformation. The interplay of these three parameters gives rise to the resulting different from zero interaction between the magnetoexcitons with wave vector k=0 and to stability of their BEC as regards the collapse. It influences also on the single particle energy spectrum as well as on the collective elementary excitations. It consists from six branches. Four of them are excitonic-type branches, two of them being of exciton origin whereas the second two are the quasienergy branches representing the mirror reflection of previous two branches. Another two branches are the optical and acoustical plasmon branches.

Paper Details

Date Published: 6 January 2011
PDF: 10 pages
Proc. SPIE 7993, ICONO 2010: International Conference on Coherent and Nonlinear Optics, 79930D (6 January 2011); doi: 10.1117/12.881324
Show Author Affiliations
S. A. Moskalenko, Institute of Applied Physics (Moldova)
M. A. Liberman, Uppsala Univ. (Sweden)
E. V. Dumanov, Institute of Applied Physics (Moldova)

Published in SPIE Proceedings Vol. 7993:
ICONO 2010: International Conference on Coherent and Nonlinear Optics
Claude Fabre; Victor Zadkov; Konstantin Drabovich, Editor(s)

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