Quantizing of transition radiation of the surface polaritons by the charge, intersecting two-layer two-dimensional electron system, placed into strong magnetic field

The transition radiation of surface polaritons, which appears when the charge is moving through a homogeneous isotropic medium with dielectric constant ε, into which a two-layer 2D electron system (2DES), placed in a transverse quantizing magnetic field, is implanted, is theoretically investigated. The two layer 2DES consists of two GaAs infinitely deep quantum wells separated by an AlGaAs potential barrier of finite width and height. The quantizing magnetic field and the direction of the charge movement are perpendicular to the 2DES. The energy spectrum of the electrons in such a system is fully discrete, and this leads to stepwise dependencies of Landau level filling factor and Hall conductivity of the two-layer 2DES on on the magnetic field