Anomalous and Chern topological waves in hyperbolic networks

Abstract Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental work has been limited to time-reve...

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Main Authors: Qiaolu Chen, Zhe Zhang, Haoye Qin, Aleksi Bossart, Yihao Yang, Hongsheng Chen, Romain Fleury
Format: Article
Language:English
Published: Nature Portfolio 2024-03-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-46551-x
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author Qiaolu Chen
Zhe Zhang
Haoye Qin
Aleksi Bossart
Yihao Yang
Hongsheng Chen
Romain Fleury
author_facet Qiaolu Chen
Zhe Zhang
Haoye Qin
Aleksi Bossart
Yihao Yang
Hongsheng Chen
Romain Fleury
author_sort Qiaolu Chen
collection DOAJ
description Abstract Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental work has been limited to time-reversal invariant systems made of coupled discrete resonances, leaving the more interesting case of robust, unidirectional edge wave transport completely unobserved. Here, we report a non-reciprocal hyperbolic network that exhibits both Chern and anomalous chiral edge modes, and implement it on a planar microwave platform. We experimentally evidence the unidirectional character of the topological edge modes by direct field mapping. We demonstrate the topological origin of these hyperbolic chiral edge modes by an explicit topological invariant measurement, performed from external probes. Our work extends the reach of topological wave physics by allowing for backscattering-immune transport in materials with synthetic non-Euclidean behavior.
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spelling doaj.art-1c6712e561694ce98c22a6b04d7f6ad22024-03-17T12:32:19ZengNature PortfolioNature Communications2041-17232024-03-011511710.1038/s41467-024-46551-xAnomalous and Chern topological waves in hyperbolic networksQiaolu Chen0Zhe Zhang1Haoye Qin2Aleksi Bossart3Yihao Yang4Hongsheng Chen5Romain Fleury6Laboratory of Wave Engineering, School of Electrical Engineering, EPFLLaboratory of Wave Engineering, School of Electrical Engineering, EPFLLaboratory of Wave Engineering, School of Electrical Engineering, EPFLLaboratory of Wave Engineering, School of Electrical Engineering, EPFLInterdisciplinary Center for Quantum Information, State Key Laboratory of Modern Optical Instrumentation, ZJU-Hangzhou Global Science and Technology Innovation Center, College of Information Science and Electronic Engineering, ZJU-UIUC Institute, Zhejiang UniversityInterdisciplinary Center for Quantum Information, State Key Laboratory of Modern Optical Instrumentation, ZJU-Hangzhou Global Science and Technology Innovation Center, College of Information Science and Electronic Engineering, ZJU-UIUC Institute, Zhejiang UniversityLaboratory of Wave Engineering, School of Electrical Engineering, EPFLAbstract Hyperbolic lattices are a new type of synthetic materials based on regular tessellations in non-Euclidean spaces with constant negative curvature. While so far, there has been several theoretical investigations of hyperbolic topological media, experimental work has been limited to time-reversal invariant systems made of coupled discrete resonances, leaving the more interesting case of robust, unidirectional edge wave transport completely unobserved. Here, we report a non-reciprocal hyperbolic network that exhibits both Chern and anomalous chiral edge modes, and implement it on a planar microwave platform. We experimentally evidence the unidirectional character of the topological edge modes by direct field mapping. We demonstrate the topological origin of these hyperbolic chiral edge modes by an explicit topological invariant measurement, performed from external probes. Our work extends the reach of topological wave physics by allowing for backscattering-immune transport in materials with synthetic non-Euclidean behavior.https://doi.org/10.1038/s41467-024-46551-x
spellingShingle Qiaolu Chen
Zhe Zhang
Haoye Qin
Aleksi Bossart
Yihao Yang
Hongsheng Chen
Romain Fleury
Anomalous and Chern topological waves in hyperbolic networks
Nature Communications
title Anomalous and Chern topological waves in hyperbolic networks
title_full Anomalous and Chern topological waves in hyperbolic networks
title_fullStr Anomalous and Chern topological waves in hyperbolic networks
title_full_unstemmed Anomalous and Chern topological waves in hyperbolic networks
title_short Anomalous and Chern topological waves in hyperbolic networks
title_sort anomalous and chern topological waves in hyperbolic networks
url https://doi.org/10.1038/s41467-024-46551-x
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