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

Fundamental bound on topological gap

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classification cond-mat.mes-hall cond-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. Optical Hall absorption sum rule and spectral compensation in time-reversal-breaking moir\'e and Hofstadter systems

    cond-mat.mes-hall 2026-04 unverdicted novelty 6.0

    A first-frequency-moment constraint on antisymmetric optical conductivity vanishes exactly in zero-field moiré continuum models and equals a magnetic-flux-determined constant in Hofstadter models, implying spectral co...