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- W1990479546 abstract "A two-band model, which previously was used successfully to evaluate the optical absorption in A1, is applied to derive the $stackrel{ensuremath{rightarrow}}{mathrm{k}}$- and $ensuremath{omega}$-dependent dielectric function ${ensuremath{epsilon}}_{M}(stackrel{ensuremath{rightarrow}}{mathrm{k}},ensuremath{omega})$ for $stackrel{ensuremath{rightarrow}}{mathrm{k}}$ parallel to the [100] direction with use of degenerate perturbation theory. Within the nearly-free-electron approximation, it is shown that a pair of (200) Bragg planes gives rise to another pole in the energy-loss function $mathrm{Im}[frac{ensuremath{-}1}{ensuremath{epsilon}}]$ and hence to a collective mode. Both the dispersion of the mode throughout the first Brillouin zone and the strength of the mode are evaluated and are found to agree very well with electron-energy-loss spectroscopy data. A detailed discussion of the nature of this mode is given. The mode is of the same origin as the so-called zone-boundary collective state (ZBCS) first proposed by Foo and Hopfield in Na. Comparison is made with a numerical calculation of ${ensuremath{epsilon}}_{M}(stackrel{ensuremath{rightarrow}}{mathrm{k}},ensuremath{omega})$ by Singhal for some discrete $stackrel{ensuremath{rightarrow}}{mathrm{k}}$ values. The general importance of the ZBCS for the understanding of the energy-loss spectrum and for more complicated systems is pointed out." @default.
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- W1990479546 date "1984-10-15" @default.
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- W1990479546 title "Theory of a zone-boundary collective state in A1: A model calculation" @default.
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- W1990479546 doi "https://doi.org/10.1103/physrevb.30.4351" @default.
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