A new class of higher-order topological insulators that localize energy at arbitrary multiple sites  

可将能量局域化在任意多个位点上的一类新型高阶拓扑绝缘体

作　　者：Yimeng Sun Linjuan Wang Huiling Duan Jianxiang Wang 孙艺萌;王林娟;段慧玲;王建祥

机构地区：[1]Department of Mechanics and Engineering Science,College of Engineering,Peking University,Beijing 100871,China [2]School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China

出　　处：《Science Bulletin》2025年第5期667-673,共7页科学通报(英文版)

基　　金：National Natural Science Foundation of China(11991033,11890681,and 12232001).

摘　　要：Z-classified topological phases lead to a larger-than-unity number of topological states.However,these multiple topological states are only localized at the corners in nonlocal systems.Here,first,we rigorously prove that the multiple topological states of nonlocal Su–Schrieffer–Heeger(SSH)chains can be inherited and realized by local aperiodic chains with only the nearest couplings.Then,we report a new class of higher-order topological insulators constructed with the local aperiodic chains,which can have any integer number of 0D topological states localized at arbitrary positions in the whole domain of the insulators,including within the bulk.The 0D topological states are protected by the local topological marker in each direction,instead of the bulk multipole chiral numbers in existing work.We experimentally demonstrate these multimode topological states in designed acoustic coupled-resonators systems.Our work enables multiple combinations of localized corner-bulk topological states,which leads to programmable lasers and sasers by selecting the excitation sites without altering the structure,and thus opens a new avenue to signal enhancement for computing and sensing.

关 键 词：Z-classified higher-order topology OD topological stateslocalized inthebulk Acoustic measurements 

分 类 号：O17[理学—数学]