Precise response functions in all-electron methods: Application to the optimized-effective-potential approach
Betzinger M, Friedrich C, Görling A, Bluegel S (2012)
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Original Authors: Betzinger M., Friedrich C., Görling A., Blügel S.
Publisher: American Physical Society
Book Volume: 85
Article Number: 245124
Journal Issue: 24
DOI: 10.1103/PhysRevB.85.245124
Abstract
The optimized-effective-potential method is a special technique to construct local Kohn-Sham potentials from general orbital-dependent energy functionals. In a recent publication we showed that uneconomically large basis sets were required to obtain a smooth local potential without spurious oscillations within the full-potential linearized augmented-plane-wave method. This could be attributed to the slow convergence behavior of the density response function. In this paper, we derive an incomplete-basis-set correction for the response, which consists of two terms: (1) a correction that is formally similar to the Pulay correction in atomic-force calculations and (2) a numerically more important basis response term originating from the potential dependence of the basis functions. The basis response term is constructed from the solutions of radial Sternheimer equations in the muffin-tin spheres. With these corrections the local potential converges at much smaller basis sets, at much fewer states, and its construction becomes numerically very stable. We analyze the improvements for rock-salt ScN and report results for BN, AlN, and GaN, as well as the perovskites CaTiO , SrTiO , and BaTiO . The incomplete-basis-set correction can be applied to other electronic-structure methods with potential-dependent basis sets and opens the perspective to investigate a broad spectrum of problems in theoretical solid-state physics that involve response functions. © 2012 American Physical Society.
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APA:
Betzinger, M., Friedrich, C., Görling, A., & Bluegel, S. (2012). Precise response functions in all-electron methods: Application to the optimized-effective-potential approach. Physical Review B, 85(24). https://doi.org/10.1103/PhysRevB.85.245124
MLA:
Betzinger, Markus, et al. "Precise response functions in all-electron methods: Application to the optimized-effective-potential approach." Physical Review B 85.24 (2012).
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