Abstract
This work describes a calculation of the density response function of an electron gas subject to a one-dimensional sinusoidal potential Ū cos(Q⋅r). We present a first-principles formulation of the wave-vector- and frequency-dependent noninteracting susceptibility (q,q’;ω), based on a Green’s-function approach where the susceptibility χ corresponding to the interacting electron system can be related to using ideas from density-functional theory. Numerical results are presented for the static noninteracting susceptibility which are seen to exhibit structure associated with the Fermi wave vector as well as the potential wave vector Q. Preliminary numerical results are also presented for χ and the linear density response to a point-charge impurity with electron-electron interactions treated in the random-phase approximation. Possible applications of these results to problems which require a more realistic model of metals beyond the uniform electron gas are discussed.
- Received 2 October 1986
DOI:https://doi.org/10.1103/PhysRevB.35.4310
©1987 American Physical Society