WPLASMAI: Difference between revisions
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Description: {{TAG|WPLASMAI}} sets the complex shift (in eV) for the Drude term in the dielectric function. | Description: {{TAG|WPLASMAI}} sets the complex shift (in eV) for the Drude term in the dielectric function. | ||
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Metallic systems show a characteristic peak at | Metallic systems show a characteristic peak at <math>\omega=0</math> in the imaginary dielectric function, which originates from intraband transitions. | ||
When {{TAG|WPLASMAI}}>0 in the calculation of the dielectric function with {{TAG|LOPTICS}}, these intraband transitions are accounted for via the Drude term: | When {{TAG|WPLASMAI}}>0 in the calculation of the dielectric function with {{TAG|LOPTICS}}, these intraband transitions are accounted for via the Drude term: | ||
<math> | |||
\varepsilon(\omega)=1-\frac{\omega_p^2}{\omega(\omega+i \gamma)}. | \varepsilon(\omega)=1-\frac{\omega_p^2}{\omega(\omega+i \gamma)}. | ||
</math> | |||
Here, | |||
Here, <math>\omega_p</math> is the plasma frequency and the complex shift <math>\gamma</math> introduces a Lorentzian broadening of the Drude peak which serves to account for scattering effects due to phonons, impurities, and electron-electron interactions. If {{TAG|WPLASMAI}}>0, the Drude term is introduced in both the density-density and current-current response functions. | |||
== Related Tags and Sections == | == Related Tags and Sections == | ||
*{{TAG|LOPTICS}} | *{{TAG|LOPTICS}} | ||
[[Category:Linear response]] [[Category:Dielectric properties]] | [[Category:Linear response]] [[Category:Dielectric properties]] | ||
Revision as of 07:22, 15 April 2026
WPLASMAI = [real]
Default: WPLASMAI = 0
Description: WPLASMAI sets the complex shift (in eV) for the Drude term in the dielectric function.
Metallic systems show a characteristic peak at [math]\displaystyle{ \omega=0 }[/math] in the imaginary dielectric function, which originates from intraband transitions. When WPLASMAI>0 in the calculation of the dielectric function with LOPTICS, these intraband transitions are accounted for via the Drude term:
[math]\displaystyle{ \varepsilon(\omega)=1-\frac{\omega_p^2}{\omega(\omega+i \gamma)}. }[/math]
Here, [math]\displaystyle{ \omega_p }[/math] is the plasma frequency and the complex shift [math]\displaystyle{ \gamma }[/math] introduces a Lorentzian broadening of the Drude peak which serves to account for scattering effects due to phonons, impurities, and electron-electron interactions. If WPLASMAI>0, the Drude term is introduced in both the density-density and current-current response functions.