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Quantized crystalline-electromagnetic responses in insulators
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Quantized crystalline-electromagnetic responses in insulators
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Paper
Quantized crystalline-electromagnetic responses in insulators
2025
Overview
We introduce new classes of gapped topological phases characterized by quantized crystalline-electromagnetic responses, termed \"multipolar Chern insulators\". These systems are characterized by nonsymmorphic momentum-space symmetries and mirror symmetries, leading to quantization of momentum-weighted Berry curvature multipole moments. We construct lattice models for such phases and confirm their quantized responses through numerical calculations. These systems exhibit bound charge and momentum densities at lattice and magnetic defects, and currents induced by electric or time-varying strain fields. Our work extends the classification of topological matter by uncovering novel symmetry-protected topological phases with quantized responses.
Publisher
Cornell University Library, arXiv.org
Subject
