Electron Density Near An Impurity

Abstract

The behavior of the electron density n(r) [and potential energy V(r)] near an impurity of charge Z is studied by using the linear response theory of an electron gas at finite temperature and with exchange and correlation effects included. The odd powers series in the expansion of n(r) [and V(r)] are calculated exactly by using asymptotic methods, and the coefficients in the series are given in terms of moments taken over the Fermi–Dirac distribution function. In all linear response theories and at all temperatures, the derivative n'(0) = ‐2Zn0/a0, where n0 is the unperturbed electron density and a0 is the Bohr radius. The effects of exchange and correlation appear in the fifth‐ and higher‐order terms in nodd(r). Copyright © 1986 John Wiley & Sons, Inc.

Department(s)

Physics

International Standard Serial Number (ISSN)

1097-461X; 0020-7608

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Wiley, All rights reserved.

Publication Date

01 Jan 1986

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