Anomalous and Chern topological waves in hyperbolic networks

Qiaolu Chen, Zhe Zhang, Haoye Qin, Aleksi Bossart, Yihao Yang, Hongsheng Chen and Romain Fleury ()
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Qiaolu Chen: School of Electrical Engineering, EPFL
Zhe Zhang: School of Electrical Engineering, EPFL
Haoye Qin: School of Electrical Engineering, EPFL
Aleksi Bossart: School of Electrical Engineering, EPFL
Yihao Yang: Zhejiang University
Hongsheng Chen: Zhejiang University
Romain Fleury: School of Electrical Engineering, EPFL

Nature Communications, 2024, vol. 15, issue 1, 1-7

Abstract: 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.

Date: 2024
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DOI: 10.1038/s41467-024-46551-x

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