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Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry

机译：具有反射和旋转对称性的稳定Dirac和Weyl半金属的分类

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摘要

Three-dimensional (3D) Dirac and Weyl semimetals are novel states of quantum matter. We classify stable 3D Dirac and Weyl semimetals with reflection and rotational symmetry in the presence of time reversal symmetry and spin-orbit coupling, which belong to seventeen different point groups. They have two classes of reflection symmetry, with the mirror plane parallel and perpendicular to rotation axis. In both cases two types of Dirac points, existing through accidental band crossing (ABC) or at a time reversal invariant momentum (TBC), are determined by four different reflection symmetries. We classify those two types of Dirac points with a combination of different reflection and rotational symmetries. We further classify Dirac and Weyl line nodes to show in which types of mirror plane they can exist. Finally we discuss that Weyl line nodes and Dirac points can exist at the same time taking C_(4v) symmetry as an example.
机译：三维（3D）Dirac和Weyl半金属是量子物质的新颖状态。在存在时间反转对称和自旋轨道耦合的情况下，我们将具有反射和旋转对称性的稳定3D Dirac和Weyl半金属分类，它们属于十七个不同的点组。它们具有两类反射对称性，镜平面平行于并垂直于旋转轴。在这两种情况下，通过四种不同的反射对称性确定两种类型的狄拉克点，这些点是通过偶然带穿越（ABC）或在时间反向不变动量（TBC）存在。我们将两种类型的狄拉克点与不同的反射和旋转对称性的组合进行分类。我们进一步对Dirac和Weyl线节点进行分类，以显示它们可以存在于哪种镜平面类型中。最后以C_（4v）对称性为例，讨论了Weyl线节点和狄拉克点可以同时存在。

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  • 来源
    《Physical review》 |2016年第20期|205109.1-205109.10|共10页
  • 作者

    Zihao Gao; Meng Hua; Haijun Zhang; Xiao Zhang;

  • 作者单位

    Department of Physics, Sun-Yat-Sen University, Guangzhou, China;

    Department of Physics, Sun-Yat-Sen University, Guangzhou, China;

    National Laboratory of Solid State Microstructures, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;

    Department of Physics, Sun-Yat-Sen University, Guangzhou, China;

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