Microscopic electronic susceptibility, χ (ω, q11, z, z'), of the jellium halfspace: a successful average-density ansatz for complex frequency

John Dobson, Geoffrey Harris

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9 Citations (Scopus)

Abstract

Using time-dependent local density theory and a Lang-Kohn zero-order density profile n0(z), the authors present accurate values of the jellium half-space susceptibility chi ( omega ,q11,z,z') for complex frequencies omega in the upper half-plane. For rs=2.07 the numerically-obtained susceptibility is compared with a useful mimic function, chi bulk( omega ,q11, mod z-z' mod :n), based on the response of a uniform electron gas of density n equal to an average of n0(z) between the points z and z'. This is found to be an excellent approximation away from the real frequency axis, especially when the surface-parallel wavevector q11 is large.
Original languageEnglish
Pages (from-to)6127-6136
Number of pages10
JournalJournal of Physics Condensed Matter
Volume20
Issue number36
DOIs
Publication statusPublished - 1987
Externally publishedYes

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Electron gas
magnetic permeability
electronics
half planes
half spaces
electron gas
profiles
approximation

Cite this

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title = "Microscopic electronic susceptibility, χ (ω, q11, z, z'), of the jellium halfspace: a successful average-density ansatz for complex frequency",
abstract = "Using time-dependent local density theory and a Lang-Kohn zero-order density profile n0(z), the authors present accurate values of the jellium half-space susceptibility chi ( omega ,q11,z,z') for complex frequencies omega in the upper half-plane. For rs=2.07 the numerically-obtained susceptibility is compared with a useful mimic function, chi bulk( omega ,q11, mod z-z' mod :n), based on the response of a uniform electron gas of density n equal to an average of n0(z) between the points z and z'. This is found to be an excellent approximation away from the real frequency axis, especially when the surface-parallel wavevector q11 is large.",
author = "John Dobson and Geoffrey Harris",
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language = "English",
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journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
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Microscopic electronic susceptibility, χ (ω, q11, z, z'), of the jellium halfspace: a successful average-density ansatz for complex frequency. / Dobson, John; Harris, Geoffrey.

In: Journal of Physics Condensed Matter, Vol. 20, No. 36, 1987, p. 6127-6136.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Microscopic electronic susceptibility, χ (ω, q11, z, z'), of the jellium halfspace: a successful average-density ansatz for complex frequency

AU - Dobson, John

AU - Harris, Geoffrey

PY - 1987

Y1 - 1987

N2 - Using time-dependent local density theory and a Lang-Kohn zero-order density profile n0(z), the authors present accurate values of the jellium half-space susceptibility chi ( omega ,q11,z,z') for complex frequencies omega in the upper half-plane. For rs=2.07 the numerically-obtained susceptibility is compared with a useful mimic function, chi bulk( omega ,q11, mod z-z' mod :n), based on the response of a uniform electron gas of density n equal to an average of n0(z) between the points z and z'. This is found to be an excellent approximation away from the real frequency axis, especially when the surface-parallel wavevector q11 is large.

AB - Using time-dependent local density theory and a Lang-Kohn zero-order density profile n0(z), the authors present accurate values of the jellium half-space susceptibility chi ( omega ,q11,z,z') for complex frequencies omega in the upper half-plane. For rs=2.07 the numerically-obtained susceptibility is compared with a useful mimic function, chi bulk( omega ,q11, mod z-z' mod :n), based on the response of a uniform electron gas of density n equal to an average of n0(z) between the points z and z'. This is found to be an excellent approximation away from the real frequency axis, especially when the surface-parallel wavevector q11 is large.

U2 - 10.1088/0022-3719/20/36/014

DO - 10.1088/0022-3719/20/36/014

M3 - Article

VL - 20

SP - 6127

EP - 6136

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 36

ER -