Abstract

The dispersion and damping of new electromagnetic modes are obtained in a model superlattice with conventional and quantum Hall (QH) effects in conducting layers. Two separate cases are considered: the magnetoimpurity waves arising from the admixture of the impurity states to the classical conductivity in conduction layers and quantum Helicon mode originating in the nondissipative quantum Hall effect state in the plateau regions. The novelity of this mode is in taking into account the polarization currents, contributing to the imaginary part of the diagonal conductivity. It is conjectured that this mode can be used to study the finite frequency breakdown of the relativistic invariance of the quantum Hall medium.

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