GROUP THEORY SYMBOL

GTPwDielectricF

GTPwDielectricF[wave vector,epsilon,Fermi wave vector,scaling]
defines a screening function.

DetailsDetails

  • An ionic model potential is screened in a diagonal manner. The Fourier transform of the screened potential is given by
  • The static limit of the dielectric function for semiconductors is used. is calculated for wave vector and the Fermi wave vector . epsilon is the finite dielectric constant of the semiconductor. scaling depends on the units used in the calculation.
  • See: Z. H. Levine, S. G. Louie, Phys. Rev. B 25, 6310 (1982)
  • G. Böhm, K. Unger, phys. stat. sol. (b) 216, 961 (1999)
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 9.5

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First load the package:

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We look up some data from the parameter sets to get the input data for the dielectric function.

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The empty core potential will be screened by ϵ(q).

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Using the data for the dielectric constant ϵ0 and the Fermi wave vector kF the dielectric function can be plotted.

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Out[5]=
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