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• W2017112361 abstract "We use the hydrodynamic model of the bounded electron gas to evaluate the density response function of a thin film, including the effects of electron-gas dispersion (nonlocal effects). We obtain the contribution from the complete spectrum of plasma modes to the inelastic differential scattering cross section for keV electrons. Our results are for a sharp electron-density profile at the slab surfaces. Because of nonlocal effects, the spectrum is composed of a series of distinct bulk plasmons, in addition to the two surface plasmons of a thin film. We present a detailed analysis of the dynamic structure factor of a thin film in the small-wave-vector limit. We show that for sufficiently thin films, the limits $ensuremath{beta}ensuremath{rightarrow}0$ (which defines the local limit) and ${q}_{ensuremath{parallel}}Lensuremath{rightarrow}0$ (where ${q}_{ensuremath{parallel}}$ is the wave vector of the plasmon and $L$ is half the film thickness) are not interchangable in our expression for the differential cross section. Thus the local-approximation result of Ritchie for the transmission probability of a fast electron through a thin film is recovered in the $ensuremath{beta}ensuremath{rightarrow}0$ limit only for ${q}_{ensuremath{parallel}}L>1$. We also show the close relationship between the hydrodynamic density response function and the density response function obtained in the semiclassical random-phase approximation with classical specular scattering at the boundaries." @default.
• W2017112361 created "2016-06-24" @default.
• W2017112361 creator A5021366791 @default.
• W2017112361 date "1979-02-15" @default.
• W2017112361 modified "2023-09-26" @default.
• W2017112361 title "Density response function and the dynamic structure factor of thin metal films: Nonlocal effects" @default.
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• W2017112361 doi "https://doi.org/10.1103/physrevb.19.1689" @default.
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