ELECTROSTATICS OF INTER-LANDAU-LEVEL DIODES

We present exact solution of an electrostatic problem in terms of the potential distribution and density profile of an incompletely depleted two-dimensional electron gas in a heterostructure covered by a half-i nfinite gate. Using this solution, we calculate configurations of comp ressible and incompressible (insulating) strips that are formed in the presence of a quantizing magnetic field. We discuss the application o f our results to transport experiments on the inter-Landau-level and s pin diodes, as well as edge-magnetoplasmon propagation.