Observation of two-dimensional time-reversal broken non-Abelian topological states

Abstract Going beyond the conventional theory, non-Abelian band topology reveals the global quantum geometry of multiple Bloch bands and unveils a new paradigm for topological physics. However, to date, experimental studies on non-Abelian topological states beyond one dimension are still restricted...

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Main Authors: Yuze Hu, Mingyu Tong, Tian Jiang, Jian-Hua Jiang, Hongsheng Chen, Yihao Yang
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-54403-x
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author Yuze Hu
Mingyu Tong
Tian Jiang
Jian-Hua Jiang
Hongsheng Chen
Yihao Yang
author_facet Yuze Hu
Mingyu Tong
Tian Jiang
Jian-Hua Jiang
Hongsheng Chen
Yihao Yang
author_sort Yuze Hu
collection DOAJ
description Abstract Going beyond the conventional theory, non-Abelian band topology reveals the global quantum geometry of multiple Bloch bands and unveils a new paradigm for topological physics. However, to date, experimental studies on non-Abelian topological states beyond one dimension are still restricted to systems with time-reversal ( $${{\mathcal{T}}}$$ T ) symmetry. Here, exploiting a designer gyromagnetic photonic crystal, we find rich $${{\mathcal{T}}}$$ T -broken non-Abelian topological phases and their transitions with an unexpected connection to multigap antichiral edge states. By in-situ tuning the magnetic field in the gyromagnetic photonic crystal, we can create, braid, merge, and split the non-Abelian topological nodes in a unique way. Alongside this process, the multigap antichiral edge states can be tuned versatilely, giving rise to topological edge waveguiding with frequency-dependent directionality. These findings open a new avenue for non-Abelian topological physics and topological photonics.
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institution Kabale University
issn 2041-1723
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publishDate 2024-11-01
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series Nature Communications
spelling doaj-art-c0dfb95a41794460a8fb7f950865dbd72025-01-19T12:29:38ZengNature PortfolioNature Communications2041-17232024-11-0115111010.1038/s41467-024-54403-xObservation of two-dimensional time-reversal broken non-Abelian topological statesYuze Hu0Mingyu Tong1Tian Jiang2Jian-Hua Jiang3Hongsheng Chen4Yihao Yang5State Key Laboratory of Extreme Photonics and Instrumentation, ZJU-Hangzhou Global Scientific and Technological Innovation Center, Zhejiang UniversityState Key Laboratory of Extreme Photonics and Instrumentation, ZJU-Hangzhou Global Scientific and Technological Innovation Center, Zhejiang UniversityInstitute for Quantum Science and Technology, College of Science, National University of Defense TechnologySchool of Biomedical Engineering, Division of Life Sciences and Medicine, University of Science and Technology of ChinaState Key Laboratory of Extreme Photonics and Instrumentation, ZJU-Hangzhou Global Scientific and Technological Innovation Center, Zhejiang UniversityState Key Laboratory of Extreme Photonics and Instrumentation, ZJU-Hangzhou Global Scientific and Technological Innovation Center, Zhejiang UniversityAbstract Going beyond the conventional theory, non-Abelian band topology reveals the global quantum geometry of multiple Bloch bands and unveils a new paradigm for topological physics. However, to date, experimental studies on non-Abelian topological states beyond one dimension are still restricted to systems with time-reversal ( $${{\mathcal{T}}}$$ T ) symmetry. Here, exploiting a designer gyromagnetic photonic crystal, we find rich $${{\mathcal{T}}}$$ T -broken non-Abelian topological phases and their transitions with an unexpected connection to multigap antichiral edge states. By in-situ tuning the magnetic field in the gyromagnetic photonic crystal, we can create, braid, merge, and split the non-Abelian topological nodes in a unique way. Alongside this process, the multigap antichiral edge states can be tuned versatilely, giving rise to topological edge waveguiding with frequency-dependent directionality. These findings open a new avenue for non-Abelian topological physics and topological photonics.https://doi.org/10.1038/s41467-024-54403-x
spellingShingle Yuze Hu
Mingyu Tong
Tian Jiang
Jian-Hua Jiang
Hongsheng Chen
Yihao Yang
Observation of two-dimensional time-reversal broken non-Abelian topological states
Nature Communications
title Observation of two-dimensional time-reversal broken non-Abelian topological states
title_full Observation of two-dimensional time-reversal broken non-Abelian topological states
title_fullStr Observation of two-dimensional time-reversal broken non-Abelian topological states
title_full_unstemmed Observation of two-dimensional time-reversal broken non-Abelian topological states
title_short Observation of two-dimensional time-reversal broken non-Abelian topological states
title_sort observation of two dimensional time reversal broken non abelian topological states
url https://doi.org/10.1038/s41467-024-54403-x
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AT mingyutong observationoftwodimensionaltimereversalbrokennonabeliantopologicalstates
AT tianjiang observationoftwodimensionaltimereversalbrokennonabeliantopologicalstates
AT jianhuajiang observationoftwodimensionaltimereversalbrokennonabeliantopologicalstates
AT hongshengchen observationoftwodimensionaltimereversalbrokennonabeliantopologicalstates
AT yihaoyang observationoftwodimensionaltimereversalbrokennonabeliantopologicalstates