Alfredo A. Correa edited untitled.tex  over 8 years ago

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\textbf{Abstract}   Time-dependent density functional theory coupled with molecular dynamics is used to study electronic excitations produced by energetic protons   %($\mathrm{H^+}$)   in solid copper  %$\mathrm{Cu}$   over a wide range of proton velocities.   A plane-wave pseudopotential scheme is employed to solve the time-dependent Kohn-Sham equations for a moving ion  %$\mathrm{H^+}$ ion   in a periodic  %$\mathrm{Cu}$   crystal.   These electronic excitations determine the stopping power of the material and alter the interatomic forces for both channeling and off-channeling trajectories.   Our off-channeling results are in quantitative agreement with experiments.   Present results unveil a region of superlinear velocity dependence related to copper crystalline band structure.