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arXiv 2005.14603cond-mat.mtrl-scicond-mat.str-el
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用准自洽G $_0$ W $_0$方法计算TiSe $_2$的电子结构

Electronic structure of TiSe$_2$ from a quasi-self-consistent G$_0$W$_0$ approach

Maria Hellgren, Lucas Baguet, Matteo Calandra, Francesco Mauri, Ludger Wirtz

摘要:

在以前的工作中,它被证明,包括确切的交换是必不可少的第一原理描述的电子和振动性质的TiSe $_2$,M。Hellgren等人[Phys. Rev. Lett. 119,176401(2017)]。$GW$近似提供了屏蔽交换的无参数描述,但通常采用微扰($G_0W_0$),使结果或多或少依赖于起始点。在本工作中,我们基于无规相位近似(RPA)和混合密度泛函理论的优化有效势,发展了一个准自洽的$G_0W_0$推广。该方法生成最优的$G_0W_0$起始点和与RPA一致的混合交换参数。虽然自洽起着次要的作用,如Ar,BN和ScN系统,它被证明是至关重要的TiS $_2$和TiSe $_2$。我们发现TiSe $_2$的高温相是一种具有能带结构的半金属,这与实验结果很好地吻合。此外,优化的混合泛函同意与我们以前的估计,因此准确地再现了低温电荷密度波相位。

英文摘要:

In a previous work it was shown that the inclusion of exact exchange is essential for a first principles description of both the electronic- and the vibrational properties of TiSe$_2$, M. Hellgren et al. [Phys. Rev. Lett. 119, 176401 (2017)]. The $GW$ approximation provides a parameter-free description of screened exchange but is usually employed perturbatively ($G_0W_0$) making results more or less dependent on the starting point. In this work, we develop a quasi-self-consistent extension of $G_0W_0$ based on the random phase approximation (RPA) and the optimized effective potential of hybrid density functional theory. This approach generates an optimal $G_0W_0$ starting-point and a hybrid exchange parameter consistent with the RPA. While self-consistency plays a minor role for systems such as Ar, BN and ScN, it is shown to be crucial for TiS$_2$ and TiSe$_2$. We find the high-temperature phase of TiSe$_2$ to be a semi-metal with a band structure in good agreement with experiment. Furthermore, the optimized hybrid functional agrees well with our previous estimate and therefore accurately reproduces the low-temperature charge density wave phase.

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