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Time-Dependent Density-Functional Theory for the Stopping Power of an Interacting Electron Gas for Slow Ions

V. U. Nazarov·J. M. Pitarke·C. S. Kim·Y. Takada
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Abstract

Based on the time-dependent density-functional theory, we have derived a rigorous formula for the stopping power of an {\it interacting} electron gas for ions in the limit of low projectile velocities. If dynamical correlation between electrons is not taken into account, this formula recovers the corresponding stopping power of {\it noninteracting} electrons in an effective Kohn-Sham potential. The correlation effect, specifically the excitonic one in electron-hole pair excitations, however, is found to considerably enhance the stopping power for intermediately charged ions, bringing our theory into good agreement with experiment.

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V. U. Nazarov, J. M. Pitarke, C. S. Kim, Y. Takada. 2005-02-19. Time-Dependent Density-Functional Theory for the Stopping Power of an Interacting Electron Gas for Slow Ions. https://doi.org/10.1103/physrevb.71.121106

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