Observation of D-class topology in an acoustic metamaterial

Shi-Qiao Wu ¹Wenting Cheng ²Xiao-Yu Liu ³Bing-Quan Wu ³Emil Prodan ⁴Camelia Prodan ⁵Jian-Hua Jiang⁶

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作者信息

1. School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology,Soochow University,Suzhou 215006,China;School of Physics and Optoelectronic Engineering,Foshan University,Foshan 528000,China;Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology,Foshan University,Foshan 528000,China
2. Department of Physics,University of Michigan,Ann Arbor MI 48109,USA
3. School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology,Soochow University,Suzhou 215006,China
4. Department of Physics,Yeshiva University,New York NY 10033,USA
5. Department of Physics and Engineering Physics,Fordham University,New York NY 10023,USA
6. School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology,Soochow University,Suzhou 215006,China;Suzhou Institute for Advanced Research,University of Science and Technology of China,Suzhou 215123,China
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Abstract

Topological materials and metamaterials opened new paradigms to create and manipulate phases of mat-ter with unconventional properties.Topological D-class phases(TDPs)are archetypes of the ten-fold clas-sification of topological phases with particle-hole symmetry.In two dimensions,TDPs support propagating topological edge modes that simulate the elusive Majorana elementary particles.Furthermore,a piercing of π-flux Dirac-solenoids in TDPs stabilizes localized Majorana excitations that can be braided for the purpose of topological quantum computation.Such two-dimensional(2D)TDPs have been a focus in the research frontier,but their experimental realizations are still under debate.Here,with a novel design scheme,we realize 2D TDPs in an acoustic crystal by synthesizing both the particle-hole and fermion-like time reversal symmetries for a wide range of frequencies.The design scheme leverages an enriched unit cell structure with real-valued couplings that emulate the targeted Hamiltonian of TDPs with complex hoppings:A technique that could unlock the realization of all topo-logical classes with passive metamaterials.In our experiments,we realize a pair of TDPs with opposite Chern numbers in two independent sectors that are connected by an intrinsic fermion-like time-reversal symmetry built in the system.We measure the acoustic Majorana-like helical edge modes and visualize their robust topological transport,thus revealing the unprecedented D and DⅢ class topologies with direct evidence.Our study opens up a new pathway for the experimental realization of two funda-mental classes of topological phases and may offer new insights in fundamental physics,materials science,and phononic information processing.

Key words

D-class topology/Chiral symmetry/Time-reversal symmetry/Particle-hole symmetry/Gapless edge states

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基金项目

National Key R&D Program of China(2022YFA1404400)

National Natural Science Foundation of China(12125504)

National Natural Science Foundation of China(12074281)

Gusu Leading Innovation Scientists Program of Suzhou City()

Priority Academic Program Development(PAPD)of Jiangsu Higher Education Institutions()

Shi-Qiao Wu acknowledges the support from the National Natural Science Foundation of China(12047541)

Research Fund of Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology(2020B1212030010)

US National Science Foundation(CMMI-2131759)

US National Science Foundation(DMR-1823800)

US National Science Foundation(CMMI-2131760)

U.S.Army Research Office through contract(W911NF-23-1-0127)

出版年

2024

科学通报(英文版)

中国科学院

科学通报(英文版)

CSTPCD

ISSN：1001-6538

参考文献量54

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