Performance and Self-Consistency of the Generalized Dielectric Dependent Hybrid Functional

We analyze the performance of the recently proposed screened exchange constant functional (SX) ( Brawand et al. Phys. Rev. X 2016 , 6 , 041002 ) on the GW100 test set, and we discuss results obtained at different levels of self-consistency. The SX functional is a generalization of dielectric dependent hybrid functionals to finite systems; it is nonempirical and depends on the average screening of the exchange interaction. We compare results for ionization potentials obtained with SX to those of CCSD(T) calculations and experiments, and we find excellent agreement, on par with recent state of the art methods based on many body perturbation theory. Applying SX perturbatively to correct PBE eigenvalues yields improved results in most cases, except for ionic molecules, for which wave function self-consistency is instead crucial. Calculations where wave functions and the screened exchange constant (α^SX) are determined self-consistently, and those where α^SX is fixed to the value determined within PBE, yield results of comparable accuracy. Perturbative G₀W₀ corrections of eigenvalues obtained with self-consistent α^SX are small on average, for all molecules in the GW100 test set.