Bose-Einstein Condensation of two-dimensional magnetoexcitons. Influence of the excited Landau levels

摘要

The indirect attractive interaction between the electron and holes lying on the lowest Landau levels on the surface of a two-dimensional structure in the presence of a strong perpendicular magnetic field appears due to their virtual quantum transitions to excited Landau levels as a result of the Coulomb scattering. The influence of this indirect interaction on the ground state energy and on the chemical potential of the Bose-Einstein condensed magnetoexcitons is determined. The corrections to the energy spectrum and to the wave function of the lowest magnetoexciton band due to the influence of the first three excited exciton bands were investigated.