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.

14 pages, 3 figures. To appear in Journal of Physics: Condensed Matter

References in corpus (4)

• Theory of inelastic lifetimes of low-energy electrons in metals
• Extending Linear Response: Inferences from Electron-Ion Structure Factors
• Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation
• Many-body approach to the nonlinear interaction of charged particles with an interacting free electron gas

Cited by in corpus (3)

• Time-dependent current-density functional theory for the friction of ions in an interacting electron gas
• Energy loss of charged particles moving parallel to a magnesium surface
• Variational approach to the scattering of charged particles by a many-electron system