Dielectric anisotropy in the GW space–time method

C. Freysoldt, P. Eggert, P. Rinke, A. Schindlmayr, R.W. Godby, M. Scheffler, Computer Physics Communications 176 (2007) 1–13.

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Abstract
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.
Publishing Year
Journal Title
Computer Physics Communications
Volume
176
Issue
1
Page
1-13
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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:10.1016/j.cpc.2006.07.018
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. https://doi.org/10.1016/j.cpc.2006.07.018
@article{Freysoldt_Eggert_Rinke_Schindlmayr_Godby_Scheffler_2007, title={Dielectric anisotropy in the GW space–time method}, volume={176}, DOI={10.1016/j.cpc.2006.07.018}, 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, 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. https://doi.org/10.1016/j.cpc.2006.07.018.
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.
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:10.1016/j.cpc.2006.07.018.
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