We demonstrate the use of a scanned probe microscope (SPM) at 4 Kelvin
to study electron transport through a ballistic point contact in the
two-dimensional electron gas inside a GaAs/AlGaAs heterostructure. The
electron gas density profile is locally perturbed by the charged SPM
tip providing information about the electron flow through the point co
ntact. As the tip is scanned, one obtains a spatial image of the balli
stic electron flux as well as the topographic profile of the structure
. Calculations indicate the spatial resolution is comparable to the el
ectron gas depth. (C) 1996 American Institute of Physics.