Acoustic higher-order topological insulator on a kagome lattice

Higher-order topological insulators1-5 are a family of recently predicted topological phases of matter that obey an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order topological insulator does not exhibit gapless one-dimensional (1D) topolo...

Full description

Bibliographic Details
Main Authors: Xue, Haoran, Yang, Yahui, Gao, Fei, Chong, Yidong, Zhang, Baile
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/138208
_version_ 1826114145566588928
author Xue, Haoran
Yang, Yahui
Gao, Fei
Chong, Yidong
Zhang, Baile
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Xue, Haoran
Yang, Yahui
Gao, Fei
Chong, Yidong
Zhang, Baile
author_sort Xue, Haoran
collection NTU
description Higher-order topological insulators1-5 are a family of recently predicted topological phases of matter that obey an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order topological insulator does not exhibit gapless one-dimensional (1D) topological edge states, like a standard 2D topological insulator, but instead has topologically protected zero-dimensional (0D) corner states. The first prediction of a second-order topological insulator1, based on quantized quadrupole polarization, was demonstrated in classical mechanical6 and electromagnetic7,8 metamaterials. Here we experimentally realize a second-order topological insulator in an acoustic metamaterial, based on a 'breathing' kagome lattice9 that has zero quadrupole polarization but a non-trivial bulk topology characterized by quantized Wannier centres2,9,10. Unlike previous higher-order topological insulator realizations, the corner states depend not only on the bulk topology but also on the corner shape; we show experimentally that they exist at acute-angled corners of the kagome lattice, but not at obtuse-angled corners. This shape dependence allows corner states to act as topologically protected but reconfigurable local resonances.
first_indexed 2024-10-01T03:34:42Z
format Journal Article
id ntu-10356/138208
institution Nanyang Technological University
language English
last_indexed 2024-10-01T03:34:42Z
publishDate 2020
record_format dspace
spelling ntu-10356/1382082023-02-28T20:04:22Z Acoustic higher-order topological insulator on a kagome lattice Xue, Haoran Yang, Yahui Gao, Fei Chong, Yidong Zhang, Baile School of Physical and Mathematical Sciences Science::Physics Topological Insulators Acoustic Metamaterial Higher-order topological insulators1-5 are a family of recently predicted topological phases of matter that obey an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order topological insulator does not exhibit gapless one-dimensional (1D) topological edge states, like a standard 2D topological insulator, but instead has topologically protected zero-dimensional (0D) corner states. The first prediction of a second-order topological insulator1, based on quantized quadrupole polarization, was demonstrated in classical mechanical6 and electromagnetic7,8 metamaterials. Here we experimentally realize a second-order topological insulator in an acoustic metamaterial, based on a 'breathing' kagome lattice9 that has zero quadrupole polarization but a non-trivial bulk topology characterized by quantized Wannier centres2,9,10. Unlike previous higher-order topological insulator realizations, the corner states depend not only on the bulk topology but also on the corner shape; we show experimentally that they exist at acute-angled corners of the kagome lattice, but not at obtuse-angled corners. This shape dependence allows corner states to act as topologically protected but reconfigurable local resonances. 2020-04-29T02:52:11Z 2020-04-29T02:52:11Z 2019 Journal Article Xue, H., Yang, Y., Gao, F., Chong, Y., & Zhang, B. (2019). Acoustic higher-order topological insulator on a kagome lattice. Nature Materials, 18(2), 108-112. doi:10.1038/s41563-018-0251-x 1476-1122 https://hdl.handle.net/10356/138208 10.1038/s41563-018-0251-x 30598539 2-s2.0-85059454458 2 18 108 112 en Nature Materials 10.21979/N9/HRV6VD application/pdf
spellingShingle Science::Physics
Topological Insulators
Acoustic Metamaterial
Xue, Haoran
Yang, Yahui
Gao, Fei
Chong, Yidong
Zhang, Baile
Acoustic higher-order topological insulator on a kagome lattice
title Acoustic higher-order topological insulator on a kagome lattice
title_full Acoustic higher-order topological insulator on a kagome lattice
title_fullStr Acoustic higher-order topological insulator on a kagome lattice
title_full_unstemmed Acoustic higher-order topological insulator on a kagome lattice
title_short Acoustic higher-order topological insulator on a kagome lattice
title_sort acoustic higher order topological insulator on a kagome lattice
topic Science::Physics
Topological Insulators
Acoustic Metamaterial
url https://hdl.handle.net/10356/138208
work_keys_str_mv AT xuehaoran acoustichigherordertopologicalinsulatoronakagomelattice
AT yangyahui acoustichigherordertopologicalinsulatoronakagomelattice
AT gaofei acoustichigherordertopologicalinsulatoronakagomelattice
AT chongyidong acoustichigherordertopologicalinsulatoronakagomelattice
AT zhangbaile acoustichigherordertopologicalinsulatoronakagomelattice