Евгений Думанов » Публикация
Опубликовано
2007-03-06
Опубликовано на SciPeople2009-03-27 13:15:17
ЖурналPhysica E
Influence of Coulomb scattering of electrons and holes between Landau levels on energy spectrum and collective properties of two-dimensional magnetoexcitons
Physica E 39 (2007) 137–149
Аннотация
This study is concerned with a two-dimensional electron–hole system in a strong perpendicular magnetic field with special attention
devoted to the influence of the virtual quantum transitions of interacting particles between the Landau levels. It is shown that virtual
quantum transitions of two Coulomb interacting particles from the lowest Landau levels to excited Landau levels with arbitrary
quantum numbers n and m and their transition back to the lowest Landau levels in the second order of the perturbation theory result in
indirect attraction between the particles supplementary to their Coulomb interaction. The influence of this indirect interaction on the
chemical potential of the Bose–Einstein condensed magnetoexcitons and on the ground state energy of the metallic-type electron–hole
liquid (EHL) is investigated in the Hartree–Fock approximation. The supplementary electron–electron and hole–hole interactions being
averaged with direct pairing of operators increases the binding energy of magnetoexciton and the energy per pair in the EHL phase. The
terms obtained in the exchange pairing of operators give rise to repulsion. Together with the Bogoliubov self-energy terms arising from
the electron–hole supplementary interaction they both influence in the favor of BEC of magnetoexcitons with small momentum. The
influence of the excited exciton bands on the energy spectrum and on the wave function of the lowest magnetoexciton band is studied in
the second order of the perturbation theory. The BEC of magnetoexcitons in the superposition state is considered. The generalized
Bogoliubov transformations, the BCS-type ground state wave function and the phase-space filling factors of the lowest and first excited
Landau levels are determined.
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