Non-Hermitian winding and braiding of topological boundary states

Topological boundary state is the hallmark feature of topological physics. Recently, non-Hermicity was found to dramatically expand the scope of topological physics, and provides an exotic strategy to manipulate the topological boundary states. Here, we realize the non-Hermitian winding and braiding of topological edge states in electric circuits. The topological edge states originate from the nontrivial bulk polarization. The twisted winding of a topological edge band and the ensuing bipolar hybrid skin-topological effect, and the Hopf link and Solomon link braidings between two topological edge bands, are visualized by measuring the admittances in circuit experiments. Our findings deepen the insight into the interaction between the Hermitian and non-Hermitian topologies, and inspire a mechanism in topological boundary wave manipulation.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-02-12
DOI
https://doi.org/10.1103/physrevb.111.075123
Citations
7
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
8.73

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Non-Hermitian winding and braiding of topological boundary states

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Physical review. B./Physical review. B
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article

Non-Hermitian winding and braiding of topological boundary states

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article en
7 citations

Abstract

Topological boundary state is the hallmark feature of topological physics. Recently, non-Hermicity was found to dramatically expand the scope of topological physics, and provides an exotic strategy to manipulate the topological boundary states. Here, we realize the non-Hermitian winding and braiding of topological edge states in electric circuits. The topological edge states originate from the nontrivial bulk polarization. The twisted winding of a topological edge band and the ensuing bipolar hybrid skin-topological effect, and the Hopf link and Solomon link braidings between two topological edge bands, are visualized by measuring the admittances in circuit experiments. Our findings deepen the insight into the interaction between the Hermitian and non-Hermitian topologies, and inspire a mechanism in topological boundary wave manipulation.

Physical review. B./Physical review. BVol. 111(7)
Wuhan University (CN), Changsha University of Science and Technology (CN), South China University of Technology (CN)
National Natural Science Foundation of China, China Postdoctoral Science Foundation, National Key Research and Development Program of China, Basic and Applied Basic Research Foundation of Guangdong Province
Climate action, Sustainable cities and communities
Openalex Percentile: Top 2%
Quantum Mechanics and Non-Hermitian Physics
8.73
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