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Accurate tight-binding Hamiltonian matrices from ab initio calculations: Minimal basis sets

机译:从头算计算得出的精确紧束缚哈密顿矩阵:最小基集

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摘要

Projection of Bloch states obtained from quantum-mechanical calculations onto atomic orbitals is the fastest scheme to construct ab initio tight-binding Hamiltonian matrices. However, the presence of spurious states and unphysical hybridizations of the tight-binding eigenstates has hindered the applicability of this construction. Here we demonstrate that those spurious effects are due to the inclusion of Bloch states with low projectability. The mechanism for the formation of those effects is derived analytically. We present an improved scheme for the removal of the spurious states which results in an efficient scheme for the construction of highly accurate ab initio tight-binding Hamiltonians.
机译:从量子力学计算获得的布洛赫状态在原子轨道上的投影是构造从头开始紧密结合的哈密顿矩阵的最快方案。但是,杂散态和紧密结合的本征态的非物理杂交的存在阻碍了这种结构的适用性。在这里,我们证明了这些杂散效应是由于包含了低可投影性的布洛赫状态。这些效应形成的机理是通过分析得出的。我们提出了一种消除杂散状态的改进方案,从而为构建高精度的从头开始紧密结合的哈密顿量提供了有效的方案。

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  • 来源
    《Physical review》 |2016年第3期|035104.1-035104.9|共9页
  • 作者单位

    Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA, Department of Physics, University of North Texas, Denton, Texas 76203, USA;

    Department of Applied Physics and Center for Research on Interface Structures and Phenomena (CRISP), Yale University, New Haven, Connecticut 06511, USA;

    Center for Materials Genomics, Duke University, Durham, North Carolina 27708, USA, Materials Science, Electrical Engineering, Physics and Chemistry, Duke University, Durham, North Carolina 27708, USA;

    Center for Materials Genomics, Duke University, Durham, North Carolina 27708, USA, Department of Physics, Central Michigan University, Mt. Pleasant, Michigan 48859, USA;

    Department of Physics, University of North Texas, Denton, Texas 76203, USA, Center for Materials Genomics, Duke University, Durham, North Carolina 27708, USA;

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