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Momentum space toroidal moment in a photonic metamaterial

Biao Yang, Yan‐Gang Bi, Rui-Xing Zhang, Ruo-Yang Zhang, Oubo You, Zhihong Zhu, Jing Feng, Hong‐Bo Sun, C. T. Chan, Chao‐Xing Liu, Shuang Zhang

2021Nature Communications29 citationsDOIOpen Access PDF

Abstract

Berry curvature, the counterpart of the magnetic field in the momentum space, plays a vital role in the transport of electrons in condensed matter physics. It also lays the foundation for the emerging field of topological physics. In the three-dimensional systems, much attention has been paid to Weyl points, which serve as sources and drains of Berry curvature. Here, we demonstrate a toroidal moment of Berry curvature with flux approaching to π in judiciously engineered metamaterials. The Berry curvature exhibits a vortex-like configuration without any source and drain in the momentum space. Experimentally, the presence of Berry curvature toroid is confirmed by the observation of conical-frustum shaped domain-wall states at the interfaces formed by two metamaterials with opposite toroidal moments.

Topics & Concepts

Berry connection and curvatureMetamaterialPhysicsToroidCurvaturePosition and momentum spaceConical surfaceElectronMomentum (technical analysis)Classical mechanicsQuantum electrodynamicsCondensed matter physicsGeometric phaseTopology (electrical circuits)GeometryQuantum mechanicsMathematicsFinancePlasmaCombinatoricsEconomicsTopological Materials and PhenomenaMetamaterials and Metasurfaces ApplicationsQuantum Mechanics and Non-Hermitian Physics
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