Quasiatomic orbitals for ab initio tight-binding analysis

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AUGMENTED-WAVE METHOD
PARRINELLO MOLECULAR-DYNAMICS
LOCALIZED WANNIER FUNCTIONS
COMPOSITE ENERGY-BANDS
MINIMAL BASIS-SETS
ULTRASOFT PSEUDOPOTENTIALS
ELECTRON CORRELATION
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Qian, Xiaofeng
Wang, Cai-Zhuang
Chan, Tzu-Liang
Yao, Yong-Xin
Ho, Kai-Ming
Yip, Sidney
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Wave functions obtained from plane-wave density-functional theory (DFT) calculations using norm-conserving pseudopotential, ultrasoft pseudopotential, or projector augmented-wave method are efficiently and robustly transformed into a set of spatially localized nonorthogonal quasiatomic orbitals (QOs) with pseudoangular momentum quantum numbers. We demonstrate that these minimal-basis orbitals can exactly reproduce all the electronic structure information below an energy threshold represented in the form of environment-dependent tight-binding Hamiltonian and overlap matrices. Band structure, density of states, and the Fermi surface are calculated from this real-space tight-binding representation for various extended systems (Si, SiC, Fe, and Mo) and compared with plane-wave DFT results. The Mulliken charge and bond order analyses are performed under QO basis set, which satisfy sum rules. The present work validates the general applicability of Slater and Koster's scheme of linear combinations of atomic orbitals and points to future ab initio tight-binding parametrizations and linear-scaling DFT development.

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2008-12-16
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Quasiatomic orbitals for ab initio tight-binding analysis Xiaofeng Qian, Ju Li, Liang Qi, Cai-Zhuang Wang, Tzu-Liang Chan, Yong-Xin Yao, Kai-Ming Ho, and Sidney Yip, Phys. Rev. B 78, 245112 (2008), DOI:10.1103/PhysRevB.78.245112 Copyright American Physical Society. Reprinted from Physical Review B, Volume 78, Issue 24, Article 2245112, December 2008, 22 pages. Publisher URL: http://link.aps.org/doi/10.1103/PhysRevB.78.245112
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