Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering

We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator. The system sustains the coexistence of (4-1)-dimensional chiral topological hypersurface modes (THMs) and (4-2)-dimensional...

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Autores principales:	Ze-Guo Chen, Weiwei Zhu, Yang Tan, Licheng Wang, Guancong Ma
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/59fc1f3523c14cb7bcf7adacd10e6009
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spelling	oai:doaj.org-article:59fc1f3523c14cb7bcf7adacd10e60092021-12-02T14:26:23ZAcoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering10.1103/PhysRevX.11.0110162160-3308https://doaj.org/article/59fc1f3523c14cb7bcf7adacd10e60092021-01-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.011016http://doi.org/10.1103/PhysRevX.11.011016https://doaj.org/toc/2160-3308We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator. The system sustains the coexistence of (4-1)-dimensional chiral topological hypersurface modes (THMs) and (4-2)-dimensional chiral topological surface modes (TSMs). Our study reveals that the THMs are protected by second Chern numbers, and the TSMs are protected by a topological invariant composed of two first Chern numbers, each belonging to a Chern insulator existing in subdimensions. With the synthetic coordinates fixed, the THMs and TSMs, respectively, manifest as topological edge modes and topological corner modes (TCMs) in the real space, which are experimentally observed in a 2D acoustic lattice. These TCMs are not related to quantized polarizations, making them fundamentally distinctive from existing examples. We further show that our 4D topological system offers an effective way for the manipulation of the frequency, location, and number of TCMs, which is highly desirable for applications.Ze-Guo ChenWeiwei ZhuYang TanLicheng WangGuancong MaAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 1, p 011016 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Ze-Guo Chen Weiwei Zhu Yang Tan Licheng Wang Guancong Ma Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
description	We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator. The system sustains the coexistence of (4-1)-dimensional chiral topological hypersurface modes (THMs) and (4-2)-dimensional chiral topological surface modes (TSMs). Our study reveals that the THMs are protected by second Chern numbers, and the TSMs are protected by a topological invariant composed of two first Chern numbers, each belonging to a Chern insulator existing in subdimensions. With the synthetic coordinates fixed, the THMs and TSMs, respectively, manifest as topological edge modes and topological corner modes (TCMs) in the real space, which are experimentally observed in a 2D acoustic lattice. These TCMs are not related to quantized polarizations, making them fundamentally distinctive from existing examples. We further show that our 4D topological system offers an effective way for the manipulation of the frequency, location, and number of TCMs, which is highly desirable for applications.
format	article
author	Ze-Guo Chen Weiwei Zhu Yang Tan Licheng Wang Guancong Ma
author_facet	Ze-Guo Chen Weiwei Zhu Yang Tan Licheng Wang Guancong Ma
author_sort	Ze-Guo Chen
title	Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
title_short	Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
title_full	Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
title_fullStr	Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
title_full_unstemmed	Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering
title_sort	acoustic realization of a four-dimensional higher-order chern insulator and boundary-modes engineering
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/59fc1f3523c14cb7bcf7adacd10e6009
work_keys_str_mv	AT zeguochen acousticrealizationofafourdimensionalhigherordercherninsulatorandboundarymodesengineering AT weiweizhu acousticrealizationofafourdimensionalhigherordercherninsulatorandboundarymodesengineering AT yangtan acousticrealizationofafourdimensionalhigherordercherninsulatorandboundarymodesengineering AT lichengwang acousticrealizationofafourdimensionalhigherordercherninsulatorandboundarymodesengineering AT guancongma acousticrealizationofafourdimensionalhigherordercherninsulatorandboundarymodesengineering
_version_	1718391310991228928

Acoustic Realization of a Four-Dimensional Higher-Order Chern Insulator and Boundary-Modes Engineering

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