The dielectric constant of an interacting electron gas
V.D. Gorobchenko,
E.G. Maksimov^{ a}
^{a }Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
A simple method is proposed for finding the localfield correction to the dielectric constant of a system of interacting electrons. In this method, the local distortion of the mean induced density near an individual electron owing to exchangecorrelation effects is automatically taken into account by determining the selfconsistent potential at the given spacetime point under the extra condition that one of the electrons of the system lies at that point. The stated method for accounting for exchangecorrelation effects is initially developed within the framework of the singleparticle approximation, and then is generalized to the case of analyzing the complete manyelectron problem. By using it one can easily reproduce most of the currently known results on the dielectric constant, including those derived by the powerful methods of manybody theory. This study analyzes the contemporary state of the theory of the dielectric constant of an interacting electron gas and briefly presents an application of this theory for describing the physical properties of simple metals.
