Quantized crystalline-electromagnetic responses in insulators
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917197271531520 |
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| author | Vaidya, Sachin Fonseca, André Grossi Hirsbrunner, Mark R. Hughes, Taylor L. Soljačić, Marin |
| author_facet | Vaidya, Sachin Fonseca, André Grossi Hirsbrunner, Mark R. Hughes, Taylor L. Soljačić, Marin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantized crystalline-electromagnetic responses in insulators Vaidya, Sachin Fonseca, André Grossi Hirsbrunner, Mark R. Hughes, Taylor L. Soljačić, Marin Mesoscale and Nanoscale Physics 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. |
| title | Quantized crystalline-electromagnetic responses in insulators |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.09970 |