COULOMB RENORMALIZATION OF DRIFT EXCITATION FREQUENCIES IN FINITE ELECTRONIC SYSTEMS IN THE QUANTUM HALL-EFFECT REGIME

Two-dimensional electronic systems placed in a high magnetic field and edge potentials with the filling factors corresponding to the plateau in the quantum Hall effect regime are investigated. It is shown that only one type of edge excitations (EE) exist in the system with the frequency governed by both the Coulomb interaction of electrons and the edge potential gradient; the relation between these factors may be arbitrary. The effects of interaction of the excitations localized on different edges are studied in terms of two models: EE in two concentric circles and EE in two circles situated externally. The excitation frequency renormalization due to Coulomb repulsion between the electrons localized on different edges is shown to be small in the case when the distance between edges exceeds the EE localization width.