$_{6}$ Ge $_{4}$（RE =Y，La，Lu）中的三重简并结点
Triply degenerate nodal points in RERh$_{6}$Ge$_{4}$ (RE=Y, La, Lu)
摘要：
三重简并费米子作为高能物理中一种新的没有对应物的费米子，表现出奇异的物理性质，在拓扑半金属中表现为三重简并节点。在这里，基于空间群理论的分析，我们提出了一个实用的指导寻找拓扑半金属与三重退化节点位于对称轴，这是适用于两个对称和非对称晶体。结合第一性原理电子结构计算，我们预测了一类三重简并拓扑半金属RERh $_{6}$ Ge $_{4}$（RE=Y，La，Lu）.在这些化合物中，三重简并节点位于$Γ$ -A轴上，离费米能级不远。特别地，LaRh $_{6}$ Ge $_{4}$具有一对三重简并节点，其位置非常接近费米能级。考虑到RERh $_{6}$ Ge $_{4}$的单晶已经在实验上合成，RERh $_{6}$ Ge $_{4}$类化合物将成为研究三重简并拓扑半金属奇异物理性质的合适平台。
英文摘要：
As a new type of fermions without counterpart in high energy physics, triply degenerate fermions show exotic physical properties, which are represented by triply degenerate nodal points in topological semimetals. Here, based on the space group theory analysis, we propose a practical guidance for seeking a topological semimetal with triply degenerate nodal points located at a symmetric axis, which is applicable to both symmorphic and nonsymmorphic crystals. By using this guidance in combination with the first-principles electronic structure calculations, we predict a class of triply degenerate topological semimetals RERh$_{6}$Ge$_{4}$ (RE=Y, La, Lu). In these compounds, the triply degenerate nodal points are located at the $Γ$-A axis and not far from the Fermi level. Especially, LaRh$_{6}$Ge$_{4}$ has a pair of triply degenerate nodal points located very closely to the Fermi level. Considering the fact that the single crystals of RERh$_{6}$Ge$_{4}$ have been synthesized experimentally, the RERh$_{6}$Ge$_{4}$ class of compounds will be an appropriate platform for studying exotic physical properties of triply degenerate topological semimetals.
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