拓扑绝缘体
物理
等级制度
拓扑(电路)
曲面(拓扑)
无质量粒子
石墨烯
Dirac(视频压缩格式)
铰链
拓扑序
格子(音乐)
量子力学
几何学
经典力学
量子
数学
组合数学
经济
市场经济
中微子
声学
作者
Linyun Yang,Yin Wang,Yan Meng,Zhenxiao Zhu,Xiang Xi,Bei Yan,Shuxin Lin,Jingming Chen,Bin-jie Shi,Yong Ge,Shouqi Yuan,Hongsheng Chen,Hong-xiang Sun,Gui-Geng Liu,Yihao Yang,Zhen Gao
标识
DOI:10.1103/physrevlett.129.125502
摘要
Dirac cones (DCs) play a pivotal role in various unique phenomena ranging from massless electrons in graphene to robust surface states in topological insulators (TIs). Recent studies have theoretically revealed a full Dirac hierarchy comprising an eightfold bulk DC, a fourfold surface DC, and a twofold hinge DC, associated with a hierarchy of topological phases including first-order to third-order three-dimensional (3D) topological insulators, using the same 3D base lattice. Here, we report the first experimental observation of the Dirac hierarchy in 3D acoustic TIs. Using acoustic measurements, we unambiguously reveal that lifting of multifold DCs in each hierarchy can induce two-dimensional topological surface states with a fourfold DC in a first-order 3D TI, one-dimensional topological hinge states with a twofold DC in a second-order 3D TI, and zero-dimensional topological corner states in a third-order 3D TI. Our Letter not only expands the fundamental research scope of Dirac physics, but also opens up a new route for multidimensional robust wave manipulation.
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