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26 April 2024
 
  » arxiv » 1901.7523

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Exact factorization-based density functional theory of electron-phonon systems
Ryan Requist ; C. R. Proetto ; E. K. U. Gross ;
Date 22 Jan 2019
AbstractDensity functional theory is generalized to incorporate electron-phonon coupling. Kohn-Sham equations yielding the electronic density $n_U(mathbf{r})$, a conditional probability density depending parametrically on the set of phonon normal mode amplitudes $U={U_{mathbf{q}lambda}}$, are coupled to the nuclear Schr"odinger equation of the exact factorization scheme. It is shown that a nonzero Berry curvature on nuclear configuration space affects the phonon modes. An orbital-dependent functional approximation for the nonadiabatic exchange-correlation energy reproduces the leading-order nonadiabatic electron-phonon-induced band structure renormalization in the Fr"ohlich model.
Source arXiv, 1901.7523
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