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Nonadiabatic couplings from time-dependent density functional theory: Formulation by the Kohn-Sham derivative matrix within density functional perturbation theory

机译:时变密度泛函理论的非绝热耦合:在密度泛函微扰理论中由Kohn-Sham导数矩阵表示

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摘要

We present an improved method for accurately calculating nonadiabatic couplings (NACs) between the ground and excited states of electronic systems, using time-dependent density functional theory (TDDFT) within the plane-wave pseudopotential framework. Based on our previous work that the TDDFT formulation of NACs by the Kohn-Sham derivative matrix elements can avoid the accuracy problem caused by the nonlocal pseudopotentials, we extend the evaluation of these matrix elements to the analytical scheme, achieved by density functional perturbation theory (DFPT). As DFPT has been a standard implementation in many ab initio codes, our scheme requires little effort in the coding. Extensive calculations of NACs near various Jahn-Teller or Renner-Teller intersections show the good accuracy of our results. A comparison of our present and previous work has also clarified an important fact in the TDDFT computation of NACs, regarding the evaluation of the nuclear derivative of the many-body Hamiltonian after mapping to the Kohn-Sham system.
机译:我们提出了一种改进的方法,用于在平面波伪势框架内使用时间依赖的密度泛函理论(TDDFT)准确计算电子系统的基态和激发态之间的非绝热耦合(NAC)。基于我们以前的工作,即Kohn-Sham导数矩阵元素的NAC的TDDFT公式可以避免由非局部伪势引起的精度问题,我们将这些矩阵元素的评估扩展到通过密度泛函扰动理论实现的解析方案( DFPT)。由于DFPT已成为许多从头编写代码的标准实现,因此我们的方案在编码方面几乎不需要付出任何努力。在各个Jahn-Teller或Renner-Teller交叉口附近的NAC进行了广泛的计算,显示了我们结果的良好准确性。通过对当前和以前的工作进行比较,还可以得出NAC的TDDFT计算中的一个重要事实,即在映射到Kohn-Sham系统后评估多体哈密顿量的核导数。

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