Physics – Condensed Matter – Materials Science
Scientific paper
2008-03-20
Int. J. Mod. Phys. B 22, 3813 (2008).
Physics
Condensed Matter
Materials Science
26 pages, 3 figures
Scientific paper
10.1142/S0217979208048759
Due to the strongly nonlocal nature of $f_{xc}({\bf r},{\bf r}',\omega)$ the {\em scalar} exchange and correlation (xc) kernel of the time-dependent density-functional theory (TDDFT), the formula for Q the friction coefficient of an interacting electron gas (EG) for ions tends to give a too large value of Q for heavy ions in the medium- and low-density EG, if we adopt the local-density approximation (LDA) to $f_{xc}({\bf r},{\bf r}',\omega)$, even though the formula itself is formally exact. We have rectified this unfavorable feature by reformulating the formula for Q in terms of the {\em tensorial} xc kernel of the time dependent current-density functional theory, to which the LDA can be applied without intrinsic difficulty. Our numerical results find themselves in a considerably better agreement with the experimental stopping power of Al and Au for slow ions than those previously obtained within the LDA to the TDDFT.
Chang Yen-Chang
Nazarov V. U.
Pitarke J. M.
Takada Yasutami
Vignale Giovanni
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