From 0ee79b6521dc94d15bdd9d2df7236b202e1746bb Mon Sep 17 00:00:00 2001 From: Pierre-Francois Loos Date: Fri, 5 Jun 2020 14:43:10 +0200 Subject: [PATCH] new fig --- Manuscript/BSE_JPCL.tex | 12 ++++++++++-- Manuscript/CTfig.pdf | Bin 0 -> 95442 bytes 2 files changed, 10 insertions(+), 2 deletions(-) create mode 100644 Manuscript/CTfig.pdf diff --git a/Manuscript/BSE_JPCL.tex b/Manuscript/BSE_JPCL.tex index c2ed4c9..47bb3bc 100644 --- a/Manuscript/BSE_JPCL.tex +++ b/Manuscript/BSE_JPCL.tex @@ -511,6 +511,14 @@ As a result, BSE singlet excitation energies starting from such improved quasipa For sake of illustration, an average error of $0.2$ eV was found for the well-known Thiel set \cite{Schreiber_2008} gathering more than hundred representative singlet excitations from a large variety of representative molecules. \cite{Jacquemin_2015a,Bruneval_2015,Gui_2018,Krause_2017} This is equivalent to the best TD-DFT results obtained by scanning a large variety of global hybrid functionals with various amounts of exact exchange. +%%% FIG 3 %%% +\begin{figure} + \includegraphics[width=6cm]{CTfig} + \caption{ + Symbolic representation of (Top) extended Wannier exciton with large electron-hole average distance, and (Bottom) Frenkel and charge-transfer (CT) excitations at a donor-acceptor interface. Wannier and CT excitations require long-range electron-hole interaction accounting for the dielectric constant of the host. In the case of Wannier exciton, the binding energy $E_B$ can be well approximated by the standard hydrogenoid model with $\mu$ the effective mass and $\epsilon$ the dielectric constant. + \label{fig:CTfig}} +\end{figure} +%%% %%% %%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Successes \& Challenges} @@ -520,8 +528,8 @@ This is equivalent to the best TD-DFT results obtained by scanning a large varie %========================================== \subsection{Charge-transfer excited states} %========================================== -A very remarkable success of the BSE formalism lies in the description of the charge-transfer (CT) excitations, a notoriously difficult problem for TD-DFT calculations adopting standard functionals. \cite{Dreuw_2004} -Similar difficulties emerge in solid-state physics for semiconductors where extended Wannier excitons, characterized by weakly overlapping electrons and holes, cause a dramatic deficit of spectral weight at low energy. \cite{Botti_2004} +A very remarkable success of the BSE formalism lies in the description of charge-transfer (CT) excitations, a notoriously difficult problem for TD-DFT adopting standard (semi-)local or hybrid functionals. \cite{Dreuw_2004} +Similar difficulties emerge in solid-state physics for semiconductors where extended Wannier excitons, characterized by weakly overlapping electrons and holes (Fig.~\ref{fig:CTfig}), cause a dramatic deficit of spectral weight at low energy. \cite{Botti_2004} These difficulties can be ascribed to the lack of long-range electron-hole interaction with local xc functionals. 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