典型文献
Observation of fractal higher-order topological states in acoustic metamaterials
文献摘要：
Topological phases of matter have been extensively investigated in solid-state materials and classical wave systems with integer dimensions.However,topological states in non-integer dimensions remain almost unexplored.Fractals,being self-similar on different scales,are one of the intriguing complex geometries with non-integer dimensions.Here,we demonstrate fractal higher-order topological states with unprecedented emergent phenomena in a Sierpiński acoustic metamaterial.We uncover abundant topological edge and corner states in the acoustic metamaterial due to the fractal geometry.Interestingly,the numbers of the edge and corner states depend exponentially on the system size,and the leading exponent is the Hausdorff fractal dimension of the Sierpiński carpet.Furthermore,the results reveal the unconventional spectrum and rich wave patterns of the corner states with consistent simulations and experiments.This study thus unveils unconventional topological states in fractal geometry and may inspire future studies of topological phenomena in non-Euclidean geometries.
文献关键词：
中图分类号：
作者姓名：
Shengjie Zheng;Xianfeng Man;Ze-Lin Kong;Zhi-Kang Lin;Guiju Duan;Ning Chen;Dejie Yu;Jian-Hua Jiang;Baizhan Xia
作者机构：
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha 410082,China;College of Mechanical and Electrical Engineering,Changsha University,Changsha 410022,China;Institute of Theoretical and Applied Physics,School of Physical Science and Technology&Collaborative Innovation Center of Suzhou Nano Science and Technology,Soochow University,Suzhou 215006,China
文献出处：
引用格式：
[1]Shengjie Zheng;Xianfeng Man;Ze-Lin Kong;Zhi-Kang Lin;Guiju Duan;Ning Chen;Dejie Yu;Jian-Hua Jiang;Baizhan Xia-.Observation of fractal higher-order topological states in acoustic metamaterials)[J].科学通报（英文版）,2022(20):2069-2075
A类：
Fractals,Sierpi
B类：
Observation,fractal,higher,order,topological,states,acoustic,metamaterials,Topological,phases,matter,have,been,extensively,investigated,solid,classical,wave,systems,integer,dimensions,However,remain,almost,unexplored,being,self,similar,different,scales,are,intriguing,complex,geometries,Here,demonstrate,unprecedented,emergent,phenomena,ski,We,uncover,abundant,edge,corner,due,geometry,Interestingly,numbers,depend,exponentially,size,leading,Hausdorff,carpet,Furthermore,results,reveal,unconventional,spectrum,rich,patterns,consistent,simulations,experiments,This,study,thus,unveils,may,inspire,future,studies,Euclidean
AB值：
0.516725
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