Quan Y, Yin Z P, Pickett W E
Department of Physics and Center for Advanced Quantum Studies, Beijing Normal University, Beijing 100875, China.
Department of Physics, University of California Davis, Davis, California 95616, USA.
Phys Rev Lett. 2017 Apr 28;118(17):176402. doi: 10.1103/PhysRevLett.118.176402. Epub 2017 Apr 25.
The existence of closed loops of degeneracies in crystals has been intimately connected with associated crystal symmetries, raising the following question: What is the minimum symmetry required for topological character, and can one find an example? Triclinic CaAs_{3}, in the space group P1[over ¯] with only a center of inversion, has been found to display, without need for tuning, a nodal loop of accidental degeneracies with topological character, centered on one face of the Brillouin zone that is otherwise fully gapped. The small loop is very flat in energy, yet is cut four times by the Fermi energy, a condition that results in an intricate repeated touching of inversion related pairs of Fermi surfaces at Weyl points. Spin-orbit coupling lifts the fourfold degeneracy along the loop, leaving trivial Kramers pairs. With its single nodal loop that emerges without protection from any point group symmetry, CaAs_{3} represents the primal "hydrogen atom" of nodal loop systems.
晶体中简并性的封闭环的存在与相关的晶体对称性密切相关,这引发了以下问题:拓扑特性所需的最小对称性是什么,能否找到一个例子?三斜晶系的CaAs₃,属于空间群P1[上加一横],仅有一个反演中心,已被发现无需调节就能展示出具有拓扑特性的偶然简并性的节点环,该节点环以布里渊区的一个面为中心,而该面在其他情况下是完全带隙的。这个小环在能量上非常平坦,但被费米能级切割了四次,这种情况导致在魏尔点处反演相关的费米面的成对出现复杂的重复接触。自旋轨道耦合消除了沿环的四重简并,只留下平凡的克莱默斯对。CaAs₃具有单个节点环,它在没有任何点群对称性保护的情况下出现,代表了节点环系统的原始“氢原子”。