EDGE ASYMPTOTICS OF PLANAR ELECTRON-DENSITIES

The N --> infinity limit of the edges of finite planar electron densit ies is discussed for higher Landau levels. For full filling, the parti cle number is correlated with the magnetic flux, and hence with the bo undary location, making the N --> infinity limit more subtle at the ed ges than in the bulk. In the nth Landau level, the density exhibits n distinct steps at the edge, in both circular and rectangular samples. The boundary characteristics for individual Landau levels, and for suc cessively filled Landau levels, are computed in an asymptotic expansio n.