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- W2258349018 abstract "The exchange-correlation potential experienced by an electron in the free space adjacent to a solid surface or to a low-dimensional system defines the fundamental image states and is generally important in surface- and nano-science. Here we determine the potential near the two- and one-dimensional electron gases (EG), doing this analytically at the level of the exact exchange of the density-functional theory (DFT). We find that, at $r_perpgg k_F^{-1}$, where $r_perp$ is the distance from the EG and $k_F$ is the Fermi radius, the potential obeys the already known asymptotic $-e^2/r_perp$, while at $r_perp lesssim k_F^{-1}$, but {em still in vacuum}, qualitative and quantitative deviations of the exchange potential from the asymptotic law occur. The playground of the excitations to the low-lying image states falls into the latter regime, causing significant departure from the Rydberg series. In general, our analytical exchange potentials establish benchmarks for numerical approaches in the low-dimensional science, where DFT is by far the most common tool." @default.
- W2258349018 created "2016-06-24" @default.
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- W2258349018 date "2016-01-26" @default.
- W2258349018 modified "2023-09-26" @default.
- W2258349018 title "Quantal image potential in two and one dimensions" @default.
- W2258349018 hasPublicationYear "2016" @default.
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