论文标题
详尽的拓扑沙漏带交叉口230个空间组
Exhaustive List of Topological Hourglass Band Crossings in 230 Space Groups
论文作者
论文摘要
在过去的几年中,费米级附近的带有带横梁(BC)的拓扑半学吸引了激烈的研究活动。在各种BC中,由沙漏状连通性模式强制执行的,这些连接模式位于一个沙漏的脖子上的顶点,因此称为Hourglass BCS(HBC),显示出有趣的拓扑特性,并且与空间组的对称性密切相关。 Through checking compatibility relations in the Brillouin zone (BZ), we list all possible HBCs for all 230 space groups by identifying positions of HBCs as well as the compatibility relations related with the HBCs.The HBCs can be coexisting with conventional topological BCs such as Dirac andWeyl fermions and based on our exhaustive list, the dimensionality and degeneracy of the HBCs can be quickly identified.还发现,HBC可以分为两类:一个包含确保存在的必需HBC,而另一个类别中的HBC可能会调整为消失。我们的结果可以有助于有效预测沙漏半学结合第一原理计算以及研究各种拓扑结晶相之间的过渡。
Topological semimetals with band crossings (BCs) near the Fermi level have attracted intense research activities in the past several years. Among various BCs, those enforced by an hourglass-like connectivity pattern, which are just located at the vertex in the neck of an hourglass and thus called hourglass BCs (HBCs), show interesting topological properties and are intimately related with the space group symmetry. Through checking compatibility relations in the Brillouin zone (BZ), we list all possible HBCs for all 230 space groups by identifying positions of HBCs as well as the compatibility relations related with the HBCs.The HBCs can be coexisting with conventional topological BCs such as Dirac andWeyl fermions and based on our exhaustive list, the dimensionality and degeneracy of the HBCs can be quickly identified. It is also found that the HBCs can be classified into two categories: one contains essential HBCs which are guaranteed to exist, while the HBCs in the other category may be tuned to disappear. Our results can help in efficiently predicting hourglass semimetals combined with first-principles calculations as well as studying transitions among various topological crystalline phases.