Time-dependent density-functional theory approach to nonlinear particle-solid interactions in comparison with scattering theory
Abstract
An explicit expression for the quadratic density-response function of a many-electron system is obtained in the framework of the time-dependent density-functional theory, in terms of the linear and quadratic density-response functions of noninteracting Kohn-Sham electrons and functional derivatives of the time-dependent exchange-correlation potential. This is used to evaluate the quadratic stopping power of a homogeneous electron gas for slow ions, which is demonstrated to be equivalent to that obtained up to second order in the ion charge in the framework of a fully nonlinear scattering approach. Numerical calculations are reported, thereby exploring the range of validity of quadratic-response theory.
Keywords
Cite
@article{arxiv.cond-mat/0411095,
title = {Time-dependent density-functional theory approach to nonlinear particle-solid interactions in comparison with scattering theory},
author = {V. U. Nazarov and J. M. Pitarke and C. S. Kim and Y. Takada},
journal= {arXiv preprint arXiv:cond-mat/0411095},
year = {2009}
}
Comments
14 pages, 3 figures. To appear in Journal of Physics: Condensed Matter