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Quantized crystalline-electromagnetic responses in insulators

2025/03/13 by Sachin Vaidya, Vaidya, Sachin, André Grossi Fonseca +7 · 1 citation
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2503.09970

openalex publication_date 2025/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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