Edge magnetoplasmons in a bounded two-dimensional electron fluid

Abstract

A hydrodynamic model is used to study the magnetoplasma modes of a two-dimensional electron fluid confined to a half-plane. In addition to the usual bulk modes, an approximate theory predicts new localized edge modes that propagate along the boundary, with a frequency proportional to ${B}^{\mathrm{\ensuremath{-}}1}$ in high magnetic fields. These modes provide a good fit to those seen in recent experiments of Mast and Dehm.