Dielectric anisotropy in the GW space

article Dielectric anisotropy in the GW space–time method published yes Christoph Freysoldt author Philipp Eggert author Patrick Rinke author Arno Schindlmayr author 4580000-0002-4855-071X Rex W. Godby author Matthias Scheffler author Excited-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. https://ris.uni-paderborn.de/download/18595/18596/CPC-176-1-2007.pdf application/pdf Elsevier2007 eng Computer Physics Communications 0010-4655 cond-mat/0608215 00024368010000110.1016/j.cpc.2006.07.018 17611-13 yes Freysoldt, Christoph, et al. “Dielectric Anisotropy in the GW Space–Time Method.” Computer Physics Communications, vol. 176, no. 1, Elsevier, 2007, pp. 1–13, doi:<a href="https://doi.org/10.1016/j.cpc.2006.07.018">10.1016/j.cpc.2006.07.018</a>. @article{Freysoldt_Eggert_Rinke_Schindlmayr_Godby_Scheffler_2007, title={Dielectric anisotropy in the GW space–time method}, volume={176}, DOI={<a href="https://doi.org/10.1016/j.cpc.2006.07.018">10.1016/j.cpc.2006.07.018</a>}, number={1}, journal={Computer Physics Communications}, publisher={Elsevier}, author={Freysoldt, Christoph and Eggert, Philipp and Rinke, Patrick and Schindlmayr, Arno and Godby, Rex W. and Scheffler, Matthias}, year={2007}, pages={1–13} } Freysoldt C, Eggert P, Rinke P, Schindlmayr A, Godby RW, Scheffler M. Dielectric anisotropy in the GW space–time method. Computer Physics Communications. 2007;176(1):1-13. doi:<a href="https://doi.org/10.1016/j.cpc.2006.07.018">10.1016/j.cpc.2006.07.018</a> C. Freysoldt, P. Eggert, P. Rinke, A. Schindlmayr, R. W. Godby, and M. Scheffler, “Dielectric anisotropy in the GW space–time method,” Computer Physics Communications, vol. 176, no. 1, pp. 1–13, 2007, doi: <a href="https://doi.org/10.1016/j.cpc.2006.07.018">10.1016/j.cpc.2006.07.018</a>. Freysoldt, C., Eggert, P., Rinke, P., Schindlmayr, A., Godby, R. W., & Scheffler, M. (2007). Dielectric anisotropy in the GW space–time method. Computer Physics Communications, 176(1), 1–13. <a href="https://doi.org/10.1016/j.cpc.2006.07.018">https://doi.org/10.1016/j.cpc.2006.07.018</a> Freysoldt, Christoph, Philipp Eggert, Patrick Rinke, Arno Schindlmayr, Rex W. Godby, and Matthias Scheffler. “Dielectric Anisotropy in the GW Space–Time Method.” Computer Physics Communications 176, no. 1 (2007): 1–13. <a href="https://doi.org/10.1016/j.cpc.2006.07.018">https://doi.org/10.1016/j.cpc.2006.07.018</a>. C. Freysoldt, P. Eggert, P. Rinke, A. Schindlmayr, R.W. Godby, M. Scheffler, Computer Physics Communications 176 (2007) 1–13. 185952020-08-28T16:52:21Z2022-11-11T06:50:39Z