Efficient Self-Consistent Implementation of Local Hybrid Functionals

Local hybrid density functionals, with position-dependent exact-exchange admixture, are an important extension to the popular global hybrid functionals, promising improved accuracy for many properties. An efficient implementation is crucial to make local hybrids available for widespread application. The resolution-of-the-identity approach used in previous implementations to compute nonstandard two-electron integrals has been found to require large uncontracted basis sets, rendering the cost of local hybrid calculations impractical for large-scale systems. On the basis of recently promoted seminumerical implementations of exact exchange in global hybrid functionals, we present an efficient, self-consistent implementation of local hybrid functionals within the generalized Kohn-Sham scheme. The final cost of a local hybrid calculation is equal to that of a meta-GGA global hybrid using the seminumerical algorithm. Since seminumerical schemes exhibit superior scaling with respect to system and basis set size over analytical exact exchange, and this advantage is not affected by a position-dependent admixture of exact exchange, local hybrid calculations for large systems are now possible.