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arXiv 2011.11520cond-mat.mtrl-sci
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从第一性原理得到的杂化原子轨道基:自能修正对大共价体系的自底向上映射

Hybrid atomic orbital basis from first principles: Bottom-up mapping of self-energy correction to large covalent systems

Manoar Hossain, Joydev De, Joydeep Bhattacharjee

摘要:

提出了一种构造杂化原子轨道的方法,作为有限个一阶矩矩阵的近似公共本征态。它们的杂交和取向可以根据它们的预期邻域先验地调整。从Kohn-Sham(KS)单粒子态构建的Wannier函数对应物构成了一个标准正交多轨道紧束缚(TB)基,类似于锁定到其直接原子近邻的混合原子轨道,同时跨越KS状态的子空间。因此,所提出的基础不仅使主要单一TB参数从第一原则为每个最近的邻居债券涉及不超过两个轨道,无论其方向,但也有利于一个简单的路线转移等结构系统的TB参数完全通过映射的邻居和投影的轨道电荷中心。对于杂化的2s,2 p和3s,3 p价电子,发现在所提出的基础中对TB参数的自能校正(SEC)的空间范围主要局限于第三最近邻域内,从而允许将自能校正的TB参数从较小的参考系有效地转移到大得多的目标系统,其名义上的附加计算成本超过了在参考系中显式计算SEC所需的计算成本。所提出的方法承诺廉价的估计大共价体系的准粒子结构与可行的准确性。

英文摘要:

Construction of hybrid atomic orbitals is proposed as the approximate common eigen states of finite first moment matrices. Their hybridization and orientation can be a-priori tunned as per their anticipated neighbourhood. Their Wannier function counterparts constructed from the Kohn-Sham(KS) single particle states constitute an orthonormal multi-orbital tight-binding(TB) basis resembling hybrid atomic-orbitals locked to their immediate atomic neighborhood, while spanning the subs-space of KS states. The proposed basis thus not only renders predominantly single TB parameters from first-principles for each nearest neighbour bonds involving no more than two orbitals irrespective of their orientation, but also facilitate an easy route for transfer of such TB parameters across isostructural systems exclusively through mapping of neighbourhoods and projection of orbital charge centres. With hybridized 2s,2p and 3s,3p valence electrons, the spatial extent of self-energy correction(SEC) to TB parameters in the proposed basis are found to be localized mostly within the third nearest neighbourhood, thus allowing effective transfer of self-energy corrected TB parameters from smaller reference systems to much larger target systems, with nominal additional computational cost beyond that required for explicit computation of SEC in the reference systems. The proposed approach promises inexpensive estimation of quasi-particle structure of large covalent systems with workable accuracy.

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