Dynamic real-space electronic response of the Lang-Kohn jellium halfspace: adsorbate damping including exchange and correlation

John F. Dobson, Geoffrey H. Harris

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)

Abstract

The electronic susceptibility, x(ω, q1, z, z'), of the jellium half-space is evaluated microscopically for finite frequency ω and surface-parallel wavenumber (formula presented) Screening is performed both with and without a self-consistent exchange and correlation potential,(formula presented)whose form is derived from static local density functional theory. The resulting x-functions can be termed local density functional (ldf) and random-phase approximation (rpa) susceptibilities respectively.A q1 integration yields the damping time of an adsorbed oscillating point dipole, which, for separations up to a few angstroms from an aluminium surface, is almost independent of frequency up to around two-thirds of the surface plasmon frequency. The ldf and rpa decay times differ markedly, especially for metals such as sodium with higher rs values, as previously predicted by Liebsch on the basis of a low-frequency expansion. The rpa lifetime for ‘point- dipole’ N, physisorbed on aluminium is in agreement with that deduced from calculations of Eguiluz. Both rpa and ldf lifetimes are, however, substantially longer than that obtained by extrapolation of previous results valid for large dipole-surface separations (i.e. for small q). This in turn means that electron-hole damping of a point dipole is not after all sufficient by itself to explain the lifetime measurements of Avouris, Schmeisser and Demuth. It is nevertheless a substantial contributor to the damping.

Original languageEnglish
Pages (from-to)3971-3981
Number of pages11
JournalJournal of Physics Condensed Matter
Volume19
Issue number21
DOIs
Publication statusPublished - 30 Jul 1986
Externally publishedYes

Fingerprint

Adsorbates
Damping
damping
dipoles
approximation
electronics
life (durability)
aluminum
magnetic permeability
Aluminum
half spaces
Extrapolation
Density functional theory
extrapolation
Screening
screening
Sodium
sodium
density functional theory
low frequencies

Cite this

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title = "Dynamic real-space electronic response of the Lang-Kohn jellium halfspace: adsorbate damping including exchange and correlation",
abstract = "The electronic susceptibility, x(ω, q1, z, z'), of the jellium half-space is evaluated microscopically for finite frequency ω and surface-parallel wavenumber (formula presented) Screening is performed both with and without a self-consistent exchange and correlation potential,(formula presented)whose form is derived from static local density functional theory. The resulting x-functions can be termed local density functional (ldf) and random-phase approximation (rpa) susceptibilities respectively.A q1 integration yields the damping time of an adsorbed oscillating point dipole, which, for separations up to a few angstroms from an aluminium surface, is almost independent of frequency up to around two-thirds of the surface plasmon frequency. The ldf and rpa decay times differ markedly, especially for metals such as sodium with higher rs values, as previously predicted by Liebsch on the basis of a low-frequency expansion. The rpa lifetime for ‘point- dipole’ N, physisorbed on aluminium is in agreement with that deduced from calculations of Eguiluz. Both rpa and ldf lifetimes are, however, substantially longer than that obtained by extrapolation of previous results valid for large dipole-surface separations (i.e. for small q). This in turn means that electron-hole damping of a point dipole is not after all sufficient by itself to explain the lifetime measurements of Avouris, Schmeisser and Demuth. It is nevertheless a substantial contributor to the damping.",
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Dynamic real-space electronic response of the Lang-Kohn jellium halfspace: adsorbate damping including exchange and correlation. / Dobson, John F.; Harris, Geoffrey H.

In: Journal of Physics Condensed Matter, Vol. 19, No. 21, 30.07.1986, p. 3971-3981.

Research output: Contribution to journalArticleResearchpeer-review

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N2 - The electronic susceptibility, x(ω, q1, z, z'), of the jellium half-space is evaluated microscopically for finite frequency ω and surface-parallel wavenumber (formula presented) Screening is performed both with and without a self-consistent exchange and correlation potential,(formula presented)whose form is derived from static local density functional theory. The resulting x-functions can be termed local density functional (ldf) and random-phase approximation (rpa) susceptibilities respectively.A q1 integration yields the damping time of an adsorbed oscillating point dipole, which, for separations up to a few angstroms from an aluminium surface, is almost independent of frequency up to around two-thirds of the surface plasmon frequency. The ldf and rpa decay times differ markedly, especially for metals such as sodium with higher rs values, as previously predicted by Liebsch on the basis of a low-frequency expansion. The rpa lifetime for ‘point- dipole’ N, physisorbed on aluminium is in agreement with that deduced from calculations of Eguiluz. Both rpa and ldf lifetimes are, however, substantially longer than that obtained by extrapolation of previous results valid for large dipole-surface separations (i.e. for small q). This in turn means that electron-hole damping of a point dipole is not after all sufficient by itself to explain the lifetime measurements of Avouris, Schmeisser and Demuth. It is nevertheless a substantial contributor to the damping.

AB - The electronic susceptibility, x(ω, q1, z, z'), of the jellium half-space is evaluated microscopically for finite frequency ω and surface-parallel wavenumber (formula presented) Screening is performed both with and without a self-consistent exchange and correlation potential,(formula presented)whose form is derived from static local density functional theory. The resulting x-functions can be termed local density functional (ldf) and random-phase approximation (rpa) susceptibilities respectively.A q1 integration yields the damping time of an adsorbed oscillating point dipole, which, for separations up to a few angstroms from an aluminium surface, is almost independent of frequency up to around two-thirds of the surface plasmon frequency. The ldf and rpa decay times differ markedly, especially for metals such as sodium with higher rs values, as previously predicted by Liebsch on the basis of a low-frequency expansion. The rpa lifetime for ‘point- dipole’ N, physisorbed on aluminium is in agreement with that deduced from calculations of Eguiluz. Both rpa and ldf lifetimes are, however, substantially longer than that obtained by extrapolation of previous results valid for large dipole-surface separations (i.e. for small q). This in turn means that electron-hole damping of a point dipole is not after all sufficient by itself to explain the lifetime measurements of Avouris, Schmeisser and Demuth. It is nevertheless a substantial contributor to the damping.

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