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Fundamental bound on topological gap

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arxiv 2306.00078 v3 pith:TU5RT3OE submitted 2023-05-31 cond-mat.mes-hall cond-mat.mtrl-scicond-mat.str-el

Yugo Onishi , Liang Fu This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-el
keywords topologicalabsorptionboundinsulatorsapplicationsbandcherncircular
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We provide a universal tight bound on the energy gap of topological insulators by exploring relationships between topology, quantum geometry, and optical absorption. Applications of our theory to infrared absorption near topological band inversion, magnetic circular dichorism in Chern insulators, and topological gap in moir\'e materials are demonstrated.

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  1. Quantum Geometry in Quantum Materials

    cond-mat.mes-hall 2024-12 unverdicted

    This review surveys how the quantum geometric tensor shapes superconductivity, spin stiffness, exciton condensates, Landau levels, and fractional Chern insulators in quantum materials.

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