2-DIMENSIONAL ELECTRON-GAS IN A MAGNETIC-FIELD AND POINT POTENTIALS

This paper presents a brief review of the electron properties in two-d imensional systems which contain zero-range scatterers which are subje cted to a magnetic field. The electron spectrum is described for a per iodic arrangement of point scatterers and rational magnetic flux per u nit cell. Delocalized states on the Landau levels are constructed for the case of positional disorder. The electron localization in a one-di mensional disordered set of scatterers is studied. Application to the study of electron transmission through quantum dots and ballistic chan nels is reviewed. (C) 1997 American Institute of Physics.