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arXiv 1802.04815cond-mat.mtrl-scicond-mat.mes-hall
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Dirac-Weyl半金属:极性六方$ABC$晶体中Dirac-Weyl费米子的共存

The Dirac-Weyl semimetal: Coexistence of Dirac and Weyl fermions in polar hexagonal $ABC$ crystals

Heng Gao, Youngkuk Kim, Jörn W. F. Venderbos, C. L. Kane, E. J. Mele, Andrew M. Rappe, Wei Ren

摘要:

我们提出,非中心对称的LiGa Ge型六方$ABC$晶体SrHgPb实现了一种新型的拓扑半金属,主机的狄拉克和外尔点在动量空间。由于能带反转,受保护的狄拉克点出现在六重旋转$z$轴上,而六对与六重对称相关的外尔点位于垂直的$k_z=0$平面上。通过研究的电子结构作为一个函数的屈曲的汞铅层,这是起源的反演对称性破缺,我们建立的狄拉克和Weyl费米子的共存定义了一个阶段分离两个拓扑不同的狄拉克半金属。这两种狄拉克半金属的区别在于$k_z=0$平面的$\mathbb{Z}_2$指数和侧表面上相应的二维狄拉克费米子的存在或不存在。我们正式我们的第一性原理计算推导和研究的低能量模型描述的Dirac-Weyl半金属相的哈密顿量。最后,我们提出了其他几种材料的非中心对称的$ABC $材料类,特别是SrHgSn和CaHgSn,作为候选人实现Dirac-Weyl半金属。

英文摘要:

We propose that the noncentrosymmetric LiGaGe-type hexagonal $ABC$ crystal SrHgPb realizes a new type of topological semimetal that hosts both Dirac and Weyl points in momentum space. The symmetry-protected Dirac points arise due to a band inversion and are located on the sixfold rotation $z$-axis, whereas the six pairs of Weyl points related by sixfold symmetry are located on the perpendicular $k_z=0$ plane. By studying the electronic structure as a function of the buckling of the HgPb layer, which is the origin of inversion symmetry breaking, we establish that the coexistence of Dirac and Weyl fermions defines a phase separating two topologically distinct Dirac semimetals. These two Dirac semimetals are distinguished by the $\mathbb{Z}_2$ index of the $k_z=0$ plane and the corresponding presence or absence of 2D Dirac fermions on side surfaces. We formalize our first-principles calculations by deriving and studying a low-energy model Hamiltonian describing the Dirac-Weyl semimetal phase. We conclude by proposing several other materials in the non-centrosymmetric $ABC $ material class, in particular SrHgSn and CaHgSn, as candidates for realizing the Dirac-Weyl semimetal.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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