000055618 001__ 55618 000055618 005__ 20200423204425.0 000055618 017__ $$aPreprint submitted to Elsevier, the definitive version is available at http://dx.doi.org/10.1016/j.cpc.2006.07.018 000055618 0247_ $$2DOI$$a10.1016/j.cpc.2006.07.018 000055618 0247_ $$2WOS$$aWOS:000243680100001 000055618 0247_ $$2Handle$$a2128/3080 000055618 037__ $$aPreJuSER-55618 000055618 041__ $$aeng 000055618 082__ $$a004 000055618 084__ $$2WoS$$aComputer Science, Interdisciplinary Applications 000055618 084__ $$2WoS$$aPhysics, Mathematical 000055618 1001_ $$0P:(DE-HGF)0$$aFreysoldt, C.$$b0 000055618 245__ $$aDielectric anisotropy in the GW space-time method 000055618 260__ $$aAmsterdam$$bNorth Holland Publ. Co.$$c2007 000055618 300__ $$a1 - 13 000055618 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article 000055618 3367_ $$2DataCite$$aOutput Types/Journal article 000055618 3367_ $$00$$2EndNote$$aJournal Article 000055618 3367_ $$2BibTeX$$aARTICLE 000055618 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000055618 3367_ $$2DRIVER$$aarticle 000055618 440_0 $$01439$$aComputer Physics Communications$$v176$$x0010-4655 000055618 500__ $$aRecord converted from VDB: 12.11.2012 000055618 520__ $$aExcited-state calculations, notably for quasiparticle band structures, are nowadays routinely performed within the GW approximation for the electronic self-energy. Nevertheless, certain numerical approximations and simplifications are still employed in practice to make the computations feasible. An important aspect for periodic systems is the proper treatment of the singularity of the screened Coulomb interaction in reciprocal space, which results from the slow 1/r decay in real space. This must be done without introducing artificial interactions between the quasiparticles and their periodic images in repeated cells, which occur when integrals of the screened Coulomb interaction are discretised in reciprocal space. An adequate treatment of both aspects is crucial for a numerically stable computation of the self-energy. In this article we build on existing schemes for isotropic screening and present an extension for anisotropic systems. We also show how the contributions to the dielectric function arising from the non-local part of the pseudopotentials can be computed efficiently. These improvements are crucial for obtaining a fast convergence with respect to the number of points used for the Brillouin zone integration and prove to be essential to make GW calculations for strongly anisotropic systems, such as slabs or multilayers, efficient. (C) 2006 Elsevier B.V. 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