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arXiv 1107.2047cond-mat.mtrl-sci
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平面波轨道相关计算周期性分子结构的电子能级和电响应

Electronic levels and electrical response of periodic molecular structures from plane-wave orbital-dependent calculations

Yanli Li, Ismaila Dabo

摘要:

基于轨道相关密度泛函理论(OD-DFT)近似的平面波电子结构预测,如混合密度泛函方法和自相互作用密度泛函修正,受到计算不准确的严重影响,在评估电子相互作用的平面波表示。这些错误产生的发散奇点的平面波的静电和交换相互作用的贡献。附加函数修正是倒空间反荷修正,通过向进入相互作用项表达式的点电荷静电核添加辅助函数来消除平面波奇异性。与在密度泛函理论(DFT)的上下文中采用的实空间反荷校正不同,倒易空间校正在计算上是便宜的,使得它们适合于更苛刻的OD-DFT计算。然而,在辅助函数的选择上存在很大的自由度,并且不同的定义导致在消除平面波不准确性方面的不同水平的性能。在这项工作中,我们推导出精确的点电荷辅助函数的描述分子结构的任意平移对称性,包括尚未解决的一维情况。此外,我们提供了一个关键的评估不同的倒数空间电荷的修正,并证明了提高精度的点电荷辅助功能预测的电子水平和共轭聚合物的电响应从平面波OD-DFT计算。

英文摘要:

Plane-wave electronic-structure predictions based upon orbital-dependent density-functional theory (OD-DFT) approximations, such as hybrid density-functional methods and self-interaction density-functional corrections, are severely affected by computational inaccuracies in evaluating electron interactions in the plane-wave representation. These errors arise from divergence singularities in the plane-wave summation of electrostatic and exchange interaction contributions. Auxiliary-function corrections are reciprocal-space countercharge corrections that cancel plane-wave singularities through the addition of an auxiliary function to the point-charge electrostatic kernel that enters into the expression of interaction terms. At variance with real-space countercharge corrections that are employed in the context of density-functional theory (DFT), reciprocal-space corrections are computationally inexpensive, making them suited to more demanding OD-DFT calculations. Nevertheless, there exists much freedom in the choice of auxiliary functions and various definitions result in different levels of performance in eliminating plane-wave inaccuracies. In this work, we derive exact point-charge auxiliary functions for the description of molecular structures of arbitrary translational symmetry, including the yet unaddressed one-dimensional case. In addition, we provide a critical assessment of different reciprocal-space countercharge corrections and demonstrate the improved accuracy of point-charge auxiliary functions in predicting the electronic levels and electrical response of conjugated polymers from plane-wave OD-DFT calculations.

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