Two Dimensional Magnetopolaritons and the Associated Landau Quantized Magnetoconductivity Tensor.

We address the magnetopolariton spectrum and magnetoconductivity tensor of a two dimensional plasma of nonrelativistic charge carriers subject to Landau quantization in a normal magnetic field. The analysis is carried out in the random phase approximation for linear electromagnetic response. Various regimes of magnetic field strength and wave number are considered. An exact integral representation of the magnetoconductivity tensor is derived and several expansions in terms of modified Bessel functions and Laguerre polynomials are obtained, as well as a low wave number power expansion. These results encompass the nondegenerate and degenerate statistical regimes as well as intermediate field and quantum strong field strengths. The two-dimensional magnetopolariton dispersion relation is formulated and solved for the electromagnetic normalmodes, and local and nonlocal magnetopolaritons/ plasmons are discussed, including nonlocal Bernstein modes, all subject to Landau quantization. The leading nonlocal corrections to the local modes are shown to exhibit de Haas-van Alphen oscillatory quantum structure in the degenerate statistical regime. [ABSTRACT FROM AUTHOR]