Anomalous electromagnetic induction induced by a 2π jump in Berry flux

The Berry curvature, resembling the magnetic field in reciprocal space, offers a captivating avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. Here, we investigate the emergent electromagnetic induction by solenoidal Berry curvature with its field lines forming loop...

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Bibliographic Details
Main Authors: Wei Luo, Wei Chen, D. Y. Xing
Format: Article
Language:English
Published: American Physical Society 2025-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.023085
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Summary:The Berry curvature, resembling the magnetic field in reciprocal space, offers a captivating avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. Here, we investigate the emergent electromagnetic induction by solenoidal Berry curvature with its field lines forming loops, links, and knots. In stark contrast to the conventional results predicted by Faraday's law, which dictates that alternating magnetic fields yield alternating electric fields with a net zero average, the alternating Berry curvature can engender directional electromagnetic induction. Such an effect is attributed to the presence of singularities in the Berry curvature, accompanied by a 2π jump in the Berry flux. Notably, this jump does not trigger a diamagnetic impulse, due to the gauge invariance of the Berry phase modulo 2π. Consequently, the induced electric field maintains finite values under time averaging, manifesting itself as a directional pumping current. Our research sheds light on a different type of anomalous electromagnetic induction effect, thereby expanding our comprehension of exotic electromagnetic phenomena.
ISSN:2643-1564