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A technique is developed which allows for the detailed mapping of theelectronic wave function in two-dimensional electron gases with low-temperaturemobilities up to 15E6 cm^2/Vs. Thin ("delta") layers of aluminium are placedinto the regions where the electrons reside. This causes electron scatteringwhich depends very locally on the amplitude of the electron wave function atthe position of the Al "delta"-layer. By changing the distance of this layerfrom the interface we map the shape of the wave function perpendicular to theinterface. Despite having a profound effect on the electron mobiliy, the"delta"-layers do not cause a widening of the quantum Hall plateaus.

Mapping an electron wave function by a local electron scattering probe