Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators

Recent developments of band topology have revealed a variety of higher-order topological insulators (HOTIs). These HOTIs are characterized by a variety of different topological invariants, making them different at a fundamental level. However, despite such differences, the fact that they all sustain...

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Main Authors: Xiao Li, Shiqiao Wu, Guanqing Zhang, Wanzhu Cai, Jack Ng, Guancong Ma
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-10-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2021.770589/full
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author Xiao Li
Xiao Li
Xiao Li
Shiqiao Wu
Guanqing Zhang
Wanzhu Cai
Jack Ng
Guancong Ma
author_facet Xiao Li
Xiao Li
Xiao Li
Shiqiao Wu
Guanqing Zhang
Wanzhu Cai
Jack Ng
Guancong Ma
author_sort Xiao Li
collection DOAJ
description Recent developments of band topology have revealed a variety of higher-order topological insulators (HOTIs). These HOTIs are characterized by a variety of different topological invariants, making them different at a fundamental level. However, despite such differences, the fact that they all sustain higher-order topological boundary modes poses a challenge to phenomenologically tell them apart. This work presents experimental measurements of the coupling effects of topological corner modes (TCMs) existing in two different types of two-dimensional acoustic HOTIs. Although both HOTIs have a similar four-site square lattice, the difference in magnetic flux per unit cell dictates that they belong to different types of topologically nontrivial phases—one lattice possesses quantized dipole moments, but the other is characterized by quantized quadrupole moment. A link between the topological invariants and the response line shape of the coupled TCMs is theoretically established and experimentally confirmed. Our results offer a pathway to distinguish HOTIs experimentally.
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spelling doaj.art-3b6a918d93fc46b3aa8ce78a8d5e69c82022-12-21T23:09:32ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-10-01910.3389/fphy.2021.770589770589Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological InsulatorsXiao Li0Xiao Li1Xiao Li2Shiqiao Wu3Guanqing Zhang4Wanzhu Cai5Jack Ng6Guancong Ma7Department of Physics, Southern University of Science and Technology, Shenzhen, ChinaDepartment of Physics, Hong Kong Baptist University, Kowloon Tong, ChinaDepartment of Physics, The Hong Kong University of Science and Technology, Hong Kong, ChinaDepartment of Physics, Hong Kong Baptist University, Kowloon Tong, ChinaDepartment of Physics, Hong Kong Baptist University, Kowloon Tong, ChinaGuangzhou Key Laboratory of Vacuum Coating Technologies and New Energy Materials, Siyuan Laboratory, Department of Physics, Jinan University, Guangzhou, ChinaDepartment of Physics, Southern University of Science and Technology, Shenzhen, ChinaDepartment of Physics, Hong Kong Baptist University, Kowloon Tong, ChinaRecent developments of band topology have revealed a variety of higher-order topological insulators (HOTIs). These HOTIs are characterized by a variety of different topological invariants, making them different at a fundamental level. However, despite such differences, the fact that they all sustain higher-order topological boundary modes poses a challenge to phenomenologically tell them apart. This work presents experimental measurements of the coupling effects of topological corner modes (TCMs) existing in two different types of two-dimensional acoustic HOTIs. Although both HOTIs have a similar four-site square lattice, the difference in magnetic flux per unit cell dictates that they belong to different types of topologically nontrivial phases—one lattice possesses quantized dipole moments, but the other is characterized by quantized quadrupole moment. A link between the topological invariants and the response line shape of the coupled TCMs is theoretically established and experimentally confirmed. Our results offer a pathway to distinguish HOTIs experimentally.https://www.frontiersin.org/articles/10.3389/fphy.2021.770589/fulltopological corner modeshigher-order topological insulatorsphononic crystalstightbinding modelgreen’s function
spellingShingle Xiao Li
Xiao Li
Xiao Li
Shiqiao Wu
Guanqing Zhang
Wanzhu Cai
Jack Ng
Guancong Ma
Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
Frontiers in Physics
topological corner modes
higher-order topological insulators
phononic crystals
tightbinding model
green’s function
title Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
title_full Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
title_fullStr Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
title_full_unstemmed Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
title_short Measurement of Corner-Mode Coupling in Acoustic Higher-Order Topological Insulators
title_sort measurement of corner mode coupling in acoustic higher order topological insulators
topic topological corner modes
higher-order topological insulators
phononic crystals
tightbinding model
green’s function
url https://www.frontiersin.org/articles/10.3389/fphy.2021.770589/full
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