Effective potential of electron-electron interaction in the semiinfinite electron gas

TL;DR

This paper calculates the effective electron-electron interaction potential and correlation functions in a semi-infinite metal, considering local-field corrections and interface effects, providing insights into surface electron behavior.

Contribution

It introduces a detailed calculation of the effective potential and correlation functions in semi-infinite metals, including local-field corrections and interface influences.

Findings

Interface effects significantly alter the effective potential.

Local-field corrections impact electron correlation functions.

Results enhance understanding of surface electron interactions.

Abstract

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the local-field correction. The influences of a flat interface and various models of local-field correction on the results of calculations are analyzed.