Multipole higher-order topological semimetals

作     者：Yajuan Qi Zhaojian He Ke Deng Jing Li Yuhua Wang 

作者机构：College of Science Wuhan University of Science and Technology Wuhan 430081 China School of Physics and Electronic Science Hunan University of Science and Technology Xiangtan 411021 China Department of Physics Jishou University Jishou 416000 China 

出 版 物：《Physical Review B》 (物理学评论B辑：凝聚态物质与材料物理学)

年 卷 期：2024年第109卷第6期

页      面：L060101-L060101页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China, NSFC, (11964011, 12204365) China Postdoctoral Science Foundation, (2021M700104) 

主　　题：Phononic crystals Topological insulators Topological phases of matter Semimetals First-principles calculations Tight-binding model 

摘      要：Higher-order topological phases of matter, including insulators and semimetals, have attracted much attention, since they can induce novel multidimensional topological boundary states. Recently, a two-dimensional (2D) multipole chiral-symmetric higher-order topological insulator (MCTI) with multipole corner states, protected by multiple chiral numbers (MCNs), has been proposed theoretically and soon will be implemented in circuit and acoustic systems. However, the chiral-symmetry higher-order topological semimetals remain unexplored. In this work, we study the multipole chiral symmetry on the three-dimensional topological semimetals based on long-range hoppings. We theoretically propose two types of multiple chiral topological semimetals (MCTSs). The multipole hinge states, which are protected by kz-dependent MCNs, are observed at one-dimensional (1D) hinge boundaries in the corresponding subspace. To verify our theory, we construct one type of MCTS in acoustic crystal as an example. Four groups of topological hinge states are obtained at each 1D hinge boundary of the constructed acoustic system. These multiple hinge states may have potential applications to improve the sensing and calculation of quantum devices.