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We study the current and charge distribution of a two dimensional electrongas under strong perpendicular magnetic fields within the linear responseregime. We show within a self-consistent screening theory that incompressiblestrips with integer values of local Landau-level filling factor exist forfinite intervals of the magnetic field strength $B$. Within an essentiallylocal conductivity model, we find that the current density in these $B$intervals is confined to the incompressible strips of vanishing locallongitudinal resistivity. This leads to vanishing longitudinal and exactlyquantized Hall resistance, and to a nice agreement of the calculated Hallpotential profiles with the measured ones.Comment: 6 pages, 3 figure

THE INTERRELATION BETWEEN INCOMPRESSIBLE STRIPS AND QUANTIZED HALL PLATEAUS