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arXiv 1808.07686cond-mat.mtrl-sci
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超越准粒子近似:完全自洽的$GW$计算

Beyond the quasiparticle approximation: Fully self-consistent $GW$ calculations

Manuel Grumet, Peitao Liu, Merzuk Kaltak, Jiří Klimeš, Georg Kresse

摘要:

我们提出了准粒子(QP)的能量从完全自洽的$GW$(SC $GW$)计算的一组原型半导体和绝缘体的框架内的投影增广波方法。为了获得收敛的结果,有限的基组校正和$k$点校正都包括在内,并提出了一个简单的程序来处理库仑核的奇异性在长波长的限制,所谓的头校正。它示出,在SC $GW$计算中的头部校正的列入是至关重要的,以获得准确的QP能量与合理的$k$ -点集。我们首先验证我们的实施,提出详细的结果,为选定的钻石的情况下,然后我们讨论了收敛的QP能量,特别是带隙,为一组有间隙的化合物,并比较它们的单发$G_0W_0$,QP自洽$GW$,和以前可用的SC $GW$的结果以及实验结果。

英文摘要:

We present quasiparticle (QP) energies from fully self-consistent $GW$ (sc$GW$) calculations for a set of prototypical semiconductors and insulators within the framework of the projector-augmented wave methodology. To obtain converged results, both finite basis-set corrections and $k$-point corrections are included, and a simple procedure is suggested to deal with the singularity of the Coulomb kernel in the long-wavelength limit, the so called head correction. It is shown that the inclusion of the head corrections in the sc$GW$ calculations is critical to obtain accurate QP energies with a reasonable $k$-point set. We first validate our implementation by presenting detailed results for the selected case of diamond, and then we discuss the converged QP energies, in particular the band gaps, for a set of gapped compounds and compare them to single-shot $G_0W_0$, QP self-consistent $GW$, and previously available sc$GW$ results as well as experimental results.

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