Two-dimensional Bose plasma in a magnetic field

Abstract
We investigate the dielectric response of a planar Bose plasma in the presence of a constant external magnetic field. The conductivity tensor is derived in the self-consistent random-phase approximation. The tensor components are evaluated at zero temperature, leading to explicit dispersion relations for the electrodynamic modes of the plasma. For plasma layers, longitudinal and transverse modes are in general coupled. These coupled modes are investigated in detail.