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- W2017661786 abstract "We present a theoretical study of the image potential resonances (IPRs) at metal surfaces. We develop the Green's functions approach allowing us to calculate binding energies ${E}_{n}$ and lifetimes ${ensuremath{tau}}_{n}$ of IPRs with high quantum numbers $n$ (up to 10 in this work). A systematic study is performed at the $overline{ensuremath{Gamma}}$ point for the close-packed metal surfaces: Cu(111), Ag(111), Au(111), Al(001), Al(111), Be(0001), Mg(0001), Na(110), Li(110), and also at the $overline{mathrm{Y}}$ point on Cu(110). The calculated lifetimes of IPRs on close-packed surfaces demonstrate the scaling law ${ensuremath{tau}}_{n}ensuremath{propto}{n}^{3}$. Our results are in agreement with available experimental data. We show that at the $overline{mathrm{Y}}$ point on Cu(110) each quantum number $n$ corresponds to a pair of IPRs ${n}^{+}$ and ${n}^{ensuremath{-}}$, where the energy difference ${E}_{n+}ensuremath{-}{E}_{nensuremath{-}}$ is proportional to ${n}^{ensuremath{-}3}$. The lifetimes ${ensuremath{tau}}_{n+}$ and ${ensuremath{tau}}_{nensuremath{-}}$ differ significantly, however, they both obey the scaling law ${ensuremath{tau}}_{nifmmodepmelsetextpmfi{}}ensuremath{propto}{n}^{3}$. Since the electrons trapped in the long-lived IPRs are strongly localized on the vacuum side, we argue that the inelastic electron-electron and electron-phonon scattering have a small contribution to the decay rate of these IPRs. The latter is dominated by the resonant electron transfer into the bulk." @default.
- W2017661786 created "2016-06-24" @default.
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- W2017661786 date "2013-07-31" @default.
- W2017661786 modified "2023-10-14" @default.
- W2017661786 title "Green's function approach to the lifetimes of image potential resonances at metal surfaces" @default.
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- W2017661786 doi "https://doi.org/10.1103/physrevb.88.035449" @default.
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