Density functional theory for dielectric properties of warm dense matter

ABSTRACT

Density functional theory (DFT) is applied for the calculation of the dielectric function (DF), reflectivity, conductivity, plasma frequency and effective free electron density of warm dense matter (WDM). Shock-compressed xenon plasma and warm dense hydrogen are considered. The longitudinal expression in the long wavelength limit is applied for the calculation of the imaginary part of the DF. The real part of the DF is calculated by means of the Kramers–Kronig transformation. Sum rule within the framework of the DFT is used for determination of the plasma frequency and effective free electron density. Corrections to the reflectivity are considered, which allow for the finite width of the transient layer (wave front) at the WDM border.

KEYWORDS:

• Warm dense matter
• density functional theory
• dielectric function
• reflectivity
• free electron density

Acknowledgements

The author would like to thank V. B. Mintsev and Yu. B. Zaporozhets for the information about the results of the measurements and M. P. Desjarlais for the useful criticism. The calculations are carried out on the computing cluster K-100 of the Keldysh Institute of Applied Mathematitcs RAS. This work was supported by the grant 14-19-01295 of the Russian Science Foundation.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by the Russian Science Foundation [grant 14-19-01295].