Investigating the effect of local field correction and thickness on the dielectric function of the two-dimensional electron gas system

In this paper، by using the Hubbard local field correction and also the form factor، we study the short-range interaction and thickness effects on two-dimensional electron gas system and its effect on dielectric function. It is well known that، at low electron densities، it is necessary to include short-range effects through Hubbard approximation. We show that while the dielectric function within RPA and Hubbard approximation behaves qualitatively similarly، the effect of different approximations and also thickness is considerable.