A fast and reliable method for the calculation of band structure of   solids with hybrid functionals
  A simple approximation within the framework of the hybrid methods for the calculation of the electronic structure of solids is presented. By considering only the diagonal elements of the perturbation operator (Hartree-Fock exchange minus semilocal exchange) calculated in the basis of the semilocal orbitals, the computational time is drastically reduced, while keeping the accuracy of the results obtained with hybrid functionals when applied without any approximations. 
Fabien Tran
cond-mat.mtrl-sci