Beyond Static Screening

An interpolation formula is suggested for the wave-number and density dependence of the static screening function for an interacting electron gas in its ground state. The approximate screening function simulates a number of properties of the exact screening function which have been established by analysis of its many-body perturbation expansion. The accuracy of the interpolation formula is discussed and is considered to be adequate for practical calculations in the range of intermediate metallic densities.

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Static screening length behaviour in polystyrene solutions

Polymer ◽

10.1016/0032-3861(86)90110-2 ◽

1986 ◽

Vol 27 (10) ◽

pp. 1595-1600 ◽

Cited By ~ 2

Author(s):

Jeffrey T Koberstein ◽

Claude Picot

Keyword(s):

Screening Length ◽

Static Screening

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Theory of ionized-impurity scattering and static screening in semiconductors

Il Nuovo Cimento D ◽

10.1007/bf02450584 ◽

1987 ◽

Vol 9 (4) ◽

pp. 449-455

Author(s):

R. Lassnig

Keyword(s):

Impurity Scattering ◽

Ionized Impurity Scattering ◽

Static Screening

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Density-functional calculation of static screening in two-dimensional materials: The long-wavelength dielectric function of graphene

Physical Review B ◽

10.1103/physrevb.91.165428 ◽

2015 ◽

Vol 91 (16) ◽

Cited By ~ 13

Author(s):

Thibault Sohier ◽

Matteo Calandra ◽

Francesco Mauri

Keyword(s):

Dielectric Function ◽

Density Functional ◽

Two Dimensional ◽

Density Functional Calculation ◽

Long Wavelength ◽

Two Dimensional Materials ◽

Static Screening

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Wave-number dependence of the static screening function of an interacting electron gas. I. Lowest-order Hartree–Fock corrections

Canadian Journal of Physics ◽

10.1139/p70-022 ◽

1970 ◽

Vol 48 (2) ◽

pp. 155-165 ◽

Cited By ~ 177

Author(s):

D. J. W. Geldart ◽

Roger Taylor

Keyword(s):

Coulomb Interaction ◽

Ground State ◽

Electron Gas ◽

Perturbation Expansion ◽

Wave Number ◽

Many Body ◽

Hartree Fock ◽

The Many ◽

Static Screening ◽

Zero Frequency

The lowest-order Hartree–Fock contributions to the zero frequency screening function are examined for an interacting electron gas in its ground state. Computational methods are developed to treat singularities associated with the bare coulomb interaction and vanishing energy denominators of the many-body perturbation expansion. Numerical results are given. The wave-number dependence in the intermediate (k ~ kF) range differs considerably from that of previous estimates.

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