Screening of periodically charged planes and filaments by a two-dimensional superlattice under the conditions of Stark quantization

The effect of a constant homogeneous electric field on the penetration of a field of periodically charged planes and filaments into a two-dimensional electron gas of a two-dimensional superlattice is studied. In the presence of a constant quantizing electric field, the potential oscillates with frequencies that are multiples of the Stark frequency. In the case of a non-degenerate electron gas, the amplitude of the constant component of the potential is found.