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Using both time-dependent density functional theory (TDDFT) and the``single-shot" $GW$ plus Bethe-Salpeter equation ($GW$-BSE) approach, wecompute optical band gaps and optical absorption spectra from first principlesfor eight common binary and ternary closed-shell metal oxides (MgO,Al$_2$O$_3$, CaO, TiO$_2$, Cu$_2$O, ZnO, BaSnO$_3$, and BiVO$_4$), based on thenon-empirical Wannier-localized optimally-tuned screened range-separated hybridfunctional. Overall, we find excellent agreement between our TDDFT and $GW$-BSEresults and experiment, with a mean absolute error less than 0.4 eV, includingfor Cu$_2$O and ZnO, traditionally considered to be challenging for bothmethods.

Optical absorption spectra of metal oxides from time-dependent density  functional theory and many-body perturbation theory based on optimally-tuned  hybrid functionals