Self-consistent local GW method: Application to 3d and 4d metals

The spectral densities for 3d and 4d transition metals are calculated using the simplified version of the self-consistent GW method employing the local ͑one-site͒ approximation and the self-consistent quasiparticle basis set. The results are compared with those given by the traditional local density approximation ͑LDA͒ and also with experimental x-ray photoemission and inverse photoemission spectra. While no systematic improvements over LDA are observed, this fully self-consistent many-body technique generates quite reasonable results and can serve as a practical prototype for further development of the many-body electronic structure theory.