English

Exact Kohn-Sham exchange kernel for insulators and its long-wavelength behavior

Materials Science 2016-08-31 v1

Abstract

We present an exact expression for the frequency-dependent Kohn-Sham exact-exchange (EXX) kernel for periodic insulators, which can be employed for the calculation of electronic response properties within time-dependent (TD) density-functional theory. It is shown that the EXX kernel has a long-wavelength divergence behavior of the exact full exchange-correlation kernel and thus rectifies one serious shortcoming of the adiabatic local-density approximation and generalized-gradient approximations kernels. A comparison between the TDEXX and the GW-approximation-Bethe-Salpeter-equation approach is also made.

Keywords

Cite

@article{arxiv.cond-mat/0205579,
  title  = {Exact Kohn-Sham exchange kernel for insulators and its long-wavelength behavior},
  author = {Yong-Hoon Kim and Andreas Goerling},
  journal= {arXiv preprint arXiv:cond-mat/0205579},
  year   = {2016}
}

Comments

two column format 6 pages + 1 figure, to be publisehd in Physical Review B

R2 v1 2026-07-22T10:37:31.485Z