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Orbital-dependent second-order scaled-opposite-spin correlation functionals in the optimized effective potential method

机译:轨道相关的二阶缩放 - 反向 - 自旋相关   功能优化的有效势方法

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摘要

The performance of correlated optimized effective potential (OEP) functionalsbased on the spin-resolved second-order correlation energy is analyzed. Therelative importance of singly- and doubly- excited contributions as well as theeffect of scaling the same- and opposite- spin components is investigated indetail comparing OEP results with Kohn-Sham (KS) quantities determined via aninversion procedure using accurate ab initio electronic densities. Specialattention is dedicated in particular to the recently proposedscaled-opposite-spin OEP functional [I. Grabowski, E. Fabiano and F. DellaSala, Phys. Rev. B, 87, 075103, (2013)] which is the most advantageous from acomputational point of view. We find that for high accuracy a careful, systemdependent, selection of the scaling coefficient is required. We analyze severalsize-extensive approaches for this selection. Finally, we find that a compositeapproach, named OEP2-SOSh, based on a post-SCF rescaling of the correlationenergy can yield high accuracy for many properties, being comparable with themost accurate OEP procedures previously reported in the literature but atsubstantially reduced computational effort.
机译:分析了基于自旋分辨的二阶相关能量的相关优化有效电位(OEP)功能的性能。详细研究了单激发和双激发贡献的相对重要性以及缩放相同和相反自旋分量的效果,将OEP结果与通过反演程序使用准确的从头算电子密度确定的Kohn-Sham(KS)量进行了比较。特别要特别注意最近提出的比例相反旋转OEP功能[I. Grabowski,E。Fabiano和F. DellaSala,物理。 Rev. B,87,075103,(2013)],从计算的角度来看,这是最有利的。我们发现,要获得高精度,需要仔细选择与系统相关的缩放系数。我们分析了这种选择的几种规模广泛的方法。最后,我们发现一种基于OCF2-SOSh的复合方法,该方法基于SCF后对相关能量的重新缩放,可以对许多属性产生高精度,可以与先前文献中报道的最准确的OEP程序相提并论,但却大大减少了计算量。

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