Edwin E. Quashie edited Recently_from_a_phenomenological_point__.tex  about 8 years ago

Commit id: 73e230d866c85f59c0350befccb357732bf37b61

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%At low velocities experimental data becomes more scarce and the fitted models less reliable.   %Fitted models tend to extrapolate linearly from the lowest point to zero velocity, possibly leaving out important physics that we try to investigate here.  The recent measurements by Cantero \emph{et al.} \cite{Cantero_2009} and by Markin \emph{et al.} \cite{Markin_2009} of slow ($v \leq 0.6~\mathrm{a.u.}$) $\mathrm{H^+}$ in $\mathrm{Cu}$ give a glimpse to of  the extreme low velocity limit. Although disagreeing with each other in absolute scale by $\sim 40\%$ (Fig. \ref{fig:stopping_power}), both reveal the stopping due to conduction band electronic excitations at lower velocity, evidenced as a change in slope near $v=0.15$ or $0.10~\mathrm{a.u.}$ respectively.   The change of slope was deduced to be caused by the participation of $\mathrm{d}$-electrons \cite{Goebl_2013}.  %This study supports this even down to $v = 0.02 ~\mathrm{a.u.}$ (see Figure \ref{fig:log_stopping_power}).