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

It is known that the presence of Fermi sea modifies scattering an electron from a point-like impurity. This due to Friedel oscillations density around These create additional potential for incident electrons. The closer energy level, stronger scattering. We study this effect case when impurity not but rather hard disk, with radius much bigger than de Broglie wavelength. start careful examination full and transport cross sections extended target. Both approach their limiting values upon increasing wave vector electron. establish section saturates faster section. With regard interaction correction, we it vanishes section, while enhanced compared scatterer.