We present self-energy calculations for Hg chalcogenides (HgX, X = S, Se, and Te) with inverted band structures using an explicit spin-dependent formulation of the GW approximation. Spin-orbit coupling is fully taken into account in calculating the single-particle Green function G and the screened interaction W . We have found, apart from an upward shift of the occupied conductionlike 6 state by about 0.7 eV, an enhancement of spin-orbit splitting by about 0.1 eV, in good agreement with experiment. This renormalization originates mainly from spin-orbit induced changes in G rather than W , which is affected only little by spin-orbit coupling.

A procedure to construct symmetry-adapted Wannier functions in the framework of the maximally-localized Wannier function approach [Marzari and Vanderbilt, Phys. Rev. B 56, 12847 (1997); Souza, Marzari, and Vanderbilt, ibid. 65, 035109 (2001)] is presented. In this scheme the minimization of the spread functional of the Wannier functions is performed with constraints that are derived from symmetry properties of the specified set of the Wannier functions and the Bloch functions used to construct them, therefore one can obtain a solution that does not necessarily yield the global minimum of the spread functional. As a test of this approach, results of atom-centered Wannier functions for GaAs and Cu are presented.

We present a detailed calculation of the electronic structure of SrVO 3 based on the GW + DMFT method. We show that a proper inclusion of the frequency-dependent Hubbard U and the nonlocal self-energy via the GW approximation, as well as a careful treatment of the Fermi level, are crucial for obtaining an accurate and coherent picture of the quasiparticle band structure and satellite features of SrVO 3 . The GW + DMFT results for SrVO 3 are not attainable within the GW approximation or the LDA + DMFT scheme. We also compare the results of GW + DMFT to DMFT calculations based on the GW quasiparticle bands.

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