V U Nazarov et al 2004 J. Phys.: Condens. Matter 16 8621 doi:10.1088/0953-8984/16/47/014
Time-dependent density-functional theory approach to nonlinear particle–solid interactions in comparison with scattering theory
V U Nazarov1,2, J M Pitarke3,4, C S Kim1 and Y Takada2
Show affiliationsAn 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.
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Issue 47 (1 December 2004)
Received 8 September 2004, in final form 18 October 2004
Published 12 November 2004
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Time-dependent density-functional theory approach to nonlinear particle–solid interactions in comparison with scattering theory
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