On the Surface Waves and Forced Oscillations in QHE Planar Samples

The dispersion relations and polarizations for the surface waves on infinite planar samples in QHE regime are explicitly determined in the small wavevector limit in which the dielectric tensor can be considered as local. The wavelength and frequency regions of applicability of the results extends up to the infrared region for typical experimental conditions. Then, standard samples with millimetric sizes seem to be able to support such excitations. Forced oscillations are also determined which should be generated in the 2DEG by external electromagnetic sources. They show an almost frequency independent wavevelength which decreases with the magnetic field. A qualitative model based in these solutions is also presented intending to describe a recently found new class of resonances appearing near the edge of a 2DEG in QHE regime. ∗Permanent Address: Grupo de F́ısica Teórica, Instituto de Cibernética, Matemática y F́ısica, Calle E, No. 309, Esq. a 15, Vedado, La Habana 4, Cuba