Acoustic realization of projective mirror Chern insulators

Abstract Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological physics. Here, we report a concrete acoust...

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Main Authors: Tianzi Li, Luohong Liu, Qicheng Zhang, Chunyin Qiu
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-023-01393-9
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author Tianzi Li
Luohong Liu
Qicheng Zhang
Chunyin Qiu
author_facet Tianzi Li
Luohong Liu
Qicheng Zhang
Chunyin Qiu
author_sort Tianzi Li
collection DOAJ
description Abstract Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological physics. Here, we report a concrete acoustic realization of mirror Chern insulators by exploiting the concept of projective symmetry. Specifically, we introduce a simple but universal recipe for constructing projective mirror symmetry, and conceive a minimal model for achieving the projective symmetry-enriched mirror Chern insulators. Based on our selective-excitation measurements, we demonstrate unambiguously the projective mirror eigenvalue-locked topological nature of the bulk states and associated chiral edge states. We extract the non-abelian Berry curvature and identify the mirror Chern number directly, providing experimental evidence for this exotic topological phase. All experimental results agree well with the theoretical predictions. Our findings give insights into topological systems equipped with gauge fields.
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spelling doaj.art-d20adc1b4ba24912a71fd62dafad533f2023-11-20T09:40:27ZengNature PortfolioCommunications Physics2399-36502023-09-01611910.1038/s42005-023-01393-9Acoustic realization of projective mirror Chern insulatorsTianzi Li0Luohong Liu1Qicheng Zhang2Chunyin Qiu3Key Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology, Wuhan UniversityKey Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology, Wuhan UniversityKey Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology, Wuhan UniversityKey Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology, Wuhan UniversityAbstract Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological physics. Here, we report a concrete acoustic realization of mirror Chern insulators by exploiting the concept of projective symmetry. Specifically, we introduce a simple but universal recipe for constructing projective mirror symmetry, and conceive a minimal model for achieving the projective symmetry-enriched mirror Chern insulators. Based on our selective-excitation measurements, we demonstrate unambiguously the projective mirror eigenvalue-locked topological nature of the bulk states and associated chiral edge states. We extract the non-abelian Berry curvature and identify the mirror Chern number directly, providing experimental evidence for this exotic topological phase. All experimental results agree well with the theoretical predictions. Our findings give insights into topological systems equipped with gauge fields.https://doi.org/10.1038/s42005-023-01393-9
spellingShingle Tianzi Li
Luohong Liu
Qicheng Zhang
Chunyin Qiu
Acoustic realization of projective mirror Chern insulators
Communications Physics
title Acoustic realization of projective mirror Chern insulators
title_full Acoustic realization of projective mirror Chern insulators
title_fullStr Acoustic realization of projective mirror Chern insulators
title_full_unstemmed Acoustic realization of projective mirror Chern insulators
title_short Acoustic realization of projective mirror Chern insulators
title_sort acoustic realization of projective mirror chern insulators
url https://doi.org/10.1038/s42005-023-01393-9
work_keys_str_mv AT tianzili acousticrealizationofprojectivemirrorcherninsulators
AT luohongliu acousticrealizationofprojectivemirrorcherninsulators
AT qichengzhang acousticrealizationofprojectivemirrorcherninsulators
AT chunyinqiu acousticrealizationofprojectivemirrorcherninsulators