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000021676 1001_ $$0P:(DE-Juel1)130539$$aBetzinger, M.$$b0$$uFZJ
000021676 245__ $$aPrecise response functions in all-electron methods: Application to the optimized-effective-potential approach
000021676 260__ $$aCollege Park, Md.$$bAPS$$c2012
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000021676 500__ $$3POF3_Assignment on 2016-02-29
000021676 500__ $$aA.G. gratefully acknowledges funding by the German Research Council (DFG) through the Cluster of Excellence "Engineering of Advanced Material" (www.eam.uni-erlangen.de) at the University of Erlangen-Nuremberg.
000021676 520__ $$aThe optimized-effective-potential method is a special technique to construct local Kohn-Sham potentials from general orbital-dependent energy functionals. In a recent publication [M. Betzinger, C. Friedrich, S. Blugel, A. Gorling, Phys. Rev. B 83, 045105 (2011)] 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 CaTiO3, SrTiO3, and BaTiO3. 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.
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