scholarly journals Including nonlocality in the exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids

2007 ◽  
Vol 76 (20) ◽  
Author(s):  
V. U. Nazarov ◽  
J. M. Pitarke ◽  
Y. Takada ◽  
G. Vignale ◽  
Y.-C. Chang
Keyword(s):  
Density Functional Theory ◽  
Current Density ◽  
Density Functional ◽  
Time Dependent ◽  
Stopping Power ◽  
Functional Theory ◽  
Correlation Kernel ◽  
Exchange Correlation ◽  
Electron Liquids ◽  
Theory Application

scholarly journals Application of time-dependent current-density-functional theory to nonlocal exchange-correlation effects in polymers

2003 ◽  
Vol 118 (3) ◽  
pp. 1044-1053 ◽  
Author(s):  
M. van Faassen ◽  
P. L. de Boeij ◽  
R. van Leeuwen ◽  
J. A. Berger ◽  
J. G. Snijders
Keyword(s):  
Density Functional Theory ◽  
Current Density ◽  
Density Functional ◽  
Time Dependent ◽  
Correlation Effects ◽  
Functional Theory ◽  
Exchange Correlation

EXCHANGE–CORRELATION KERNEL IN TIME-DEPENDENT DENSITY FUNCTIONAL THEORY DERIVED FROM MANY-BODY THEORY

2004 ◽  
Vol 18 (07) ◽  
pp. 1055-1067 ◽  
Author(s):  
K. KARLSSON ◽  
F. ARYASETIAWAN
Keyword(s):  
Density Functional Theory ◽  
Optical Absorption ◽  
Density Functional ◽  
Time Dependent ◽  
Many Body ◽  
Functional Theory ◽  
Correlation Kernel ◽  
Exchange Correlation ◽  
Many Body Theory ◽  
Dependent Density

We derive a simplified Bethe–Salpeter equation for calculating optical absorption based on the assumption of a local electron–hole interaction. The original four-point equation for the kernel is reduced to a two-point one. A connection to the exchange–correlation kernel in time-dependent density functional theory can be established. The resulting fxc is found to be -W/2 where W contains only the short-range (local) part of the Coulomb screened interaction. This simple approximation was successfully applied to optical absorption spectra of some excitonic crystals, reproducing not only the continuum excitons but also the bound ones.

scholarly journals Long-range contribution to the exchange-correlation kernel of time-dependent density functional theory

2004 ◽  
Vol 69 (15) ◽  
Author(s):  
Silvana Botti ◽  
Francesco Sottile ◽  
Nathalie Vast ◽  
Valerio Olevano ◽  
Lucia Reining ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Long Range ◽  
Density Functional ◽  
Time Dependent ◽  
Functional Theory ◽  
Correlation Kernel ◽  
Exchange Correlation ◽  
Dependent Density
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