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 $B^{\mathrm{-}1}$ in high magnetic fields. These modes provide a good fit to those seen in recent experiments of Mast and Dehm.

• Received 29 April 1985

DOI:https://doi.org/10.1103/PhysRevB.32.7676