Self-consistent random phase approximation and optimized hybrid functionals for solids

The random phase approximation (RPA) is a widely used electronic structure approach but so far it has been implemented mostly in a non-self-consistent fashion. Here, the authors show that accurate, fully self-consistent RPA calculations are feasible for various solids. Thanks to the variational properties of the RPA functional, the authors also succeed in presenting a way to optimize lower-level hybrid functionals, which are able to predict band structures, lattice constants, and G${}_{0}$W${}_{0}$ band gaps similar to RPA.