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arXiv 1404.2804cond-mat.mtrl-sci
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基于增广平面波和Muffin-tin轨道方法的准粒子自洽GW方法

Quasiparticle self-consistent GW method based on the augmented plane-wave and muffin-tin orbital method

Takao Kotani

摘要:

我们发展了准粒子自洽GW(QSGW)方法的基础上,最近开发的混合基全电子全势方法(PMT方法),它使用增广平面波(APW)和高度本地化的松饼-锡轨道(MTO)的同时。我们称之为PMT-QSGW。由于这两种增广基的存在,我们可以用少量的基函数有效地描述材料中的单粒子本征函数。在量子体系的量子阱中,我们必须处理一个静态的非定域交换关联势,它是由自能产生的。我们在高度本地化的MTO中扩大潜力。这使得我们能够在整个布里渊区进行稳定的自能插值。此外,我们还改进了布里渊区积分的偏移-Γ法,使之在计算自能时考虑了屏蔽库仑相互作用的各向异性。对于GaAs和立方SiO2,我们检查计算的带隙截止参数的收敛性。PMT-QSGW在第一原理电子结构包ecalj中实现,该包可从github免费获得。

英文摘要:

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized muffin-tin orbitals (MTOs) simultaneously. We call this PMT-QSGW. Because of the two kinds of augmented bases, we have efficient description of one-particle eigenfunctions in materials with small number of basis functions. In QSGW, we have to treat a static non-local exchange-correlation potential, which is generated from the self-energy. We expand the potential in the highly localized MTOs. This allows us to make stable interpolation of the self-energy in the whole Brillouin zone. In addition, we have improved the offset-Γ method for the Brillouin zone integration, so that we take into account the anisotropy of the screened Coulomb interaction in the calculation of the self-energy. For GaAs and cubic SiO2 , we checked convergence of calculated band gaps on cutoff parameters. PMT-QSGW is implemented in a first-principles electronic structure package ecalj, which is freely available from github.

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