A novel way to investigate perturbations of the electrostatic potentia
l across a sample surface is presented, aiming at application in 2D co
ntact phenomena. The idea is to deposit surface state electrons (SSE)
on a thin layer of liquid helium covering the surface of a solid state
sample. The density of the SSE adjusts to screen perturbations of the
electrostatic potential across the sample. As a result, the helium la
yer thickness varies due to the variation of the electrostatic pressur
e, thus providing a map. This ma?, may be read interferometrically by
a technique already employed for the investigation of multi-electron d
imples on helium. We realized this mapping for a structured metal elec
trode as a test sample to investigate the resolution of the method.