Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands

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2023
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Chen, Chao
Liu, Run-Ze
Wu, Jizhou
Su, Zu-En
Ding, Xing
Qin, Jian
Zhang, Wei-Wei
He, Yu
Wang, Xi-Lin
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National Natural Science Foundation of China: 11825401
National Natural Science Foundation of China: 11921005
National Natural Science Foundation of China: 12261160368
National Natural Science Foundation of China: 12104101
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Physical Review Letters. American Physical Society (APS). 2023, 131(13), 133601. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/physrevlett.131.133601
Zusammenfassung

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature reconstruction in a photonic quantum anomalous Hall system via Hall transport measurement of a momentum-resolved wave packet. Integrating measured Berry curvature over the two-dimensional Brillouin zone, we obtain Chern numbers corresponding to -1 and 0. Further, we identify bulk-boundary correspondence by measuring topology-linked chiral edge states at the boundary. The full topological characterization of photonic Chern bands from Berry curvature, Chern number, and edge transport measurements enables our photonic system to serve as a versatile platform for further indepth study of novel topological physics.

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ISO 690CHEN, Chao, Run-Ze LIU, Jizhou WU, Zu-En SU, Xing DING, Jian QIN, Lin WANG, Wei-Wei ZHANG, Yu HE, Xi-Lin WANG, 2023. Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands. In: Physical Review Letters. American Physical Society (APS). 2023, 131(13), 133601. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/physrevlett.131.133601
BibTex
@article{Chen2023-09-25Berry-68979,
  year={2023},
  doi={10.1103/physrevlett.131.133601},
  title={Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands},
  number={13},
  volume={131},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Chen, Chao and Liu, Run-Ze and Wu, Jizhou and Su, Zu-En and Ding, Xing and Qin, Jian and Wang, Lin and Zhang, Wei-Wei and He, Yu and Wang, Xi-Lin},
  note={Article Number: 133601}
}
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measurement of Berry curvature in momentum space was not reported for topological states. Here we
achieve two-dimensional Berry curvature reconstruction in a photonic quantum anomalous Hall system via
Hall transport measurement of a momentum-resolved wave packet. Integrating measured Berry curvature
over the two-dimensional Brillouin zone, we obtain Chern numbers corresponding to -1 and 0. Further, we
identify bulk-boundary correspondence by measuring topology-linked chiral edge states at the boundary.
The full topological characterization of photonic Chern bands from Berry curvature, Chern number, and
edge transport measurements enables our photonic system to serve as a versatile platform for further indepth
study of novel topological physics.</dcterms:abstract>
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