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It is known that the presence of the Fermi sea modifies the scattering of anelectron from a point-like impurity. This is due to the Friedel oscillations ofthe electron density around the impurity. These oscillations create anadditional scattering potential for incident electrons. The closer the energyof the incident electron to the Fermi level, the stronger the additionalscattering. We study this effect for the case when the impurity is notpoint-like but rather a hard disk, with a radius much bigger than the deBroglie wavelength. We start with a careful examination of the full andtransport cross sections from an extended target. Both cross sections approachtheir limiting values upon increasing the wave vector of the incident electron.We establish that the transport cross section saturates much faster than thefull cross section. With regard to the interaction correction, we establishthat it vanishes for the full cross section, while for the transport crosssection, it is enhanced compared to the case of a point-like scatterer.

Scattering of electron from a disk in 2D electron gas: full cross section, transport cross section, and the interaction correction