Optical spectra of solids obtained by time-dependent density-functional   theory with the jellium-with-gap model exchange-correlation kernel
  Within the framework of ab initio time-dependent density-functional theory (TD-DFT), we propose a static approximation to the exchange-correlation kernel based on the jellium-with-gap model. This kernel accounts for electron-hole interactions and it is able to address both strongly bound excitons and weak excitonic effects. TD-DFT absorption spectra of several bulk materials (both semiconductor and insulators) are reproduced in very good agreement with the experiments and with a low computational cost. 
Paolo E. Trevisanutto, Aleksandrs Terentjevs, Lucian A. Constantin,   Valerio Olevano, and Fabio Della Sala
cond-mat.other cond-mat.mtrl-sci cond-mat.str-el