  Electronic structure calculations based on Density Functional Theory have
successfully predicted numerous ground state properties of a variety of
molecules and materials. However, exchange and correlation functionals
currently used in the literature, including semi-local and hybrid functionals,
are often inaccurate to describe the electronic properties of heterogeneous
solids, especially systems composed of building blocks with large dielectric
mismatch. Here, we present a dielectric-dependent range-separated hybrid
functional, SE-RSH, for the investigation of heterogeneous materials. We define
a spatially dependent fraction of exact exchange inspired by the static
Coulomb-hole and screened-exchange (COHSEX) approximation used in many body
perturbation theory, and we show that the proposed functional accurately
predicts the electronic structure of several non-metallic interfaces, three-
and two-dimensional, pristine and defective solids and nanoparticles.
