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Topological bound on structure factor

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arxiv 2406.18654 v2 pith:QP4BVVI7 submitted 2024-06-26 cond-mat.str-el cond-mat.mes-hall

Yugo Onishi , Liang Fu This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords boundtopologicalchernfactorfractionalinsulatorsonlyspin
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abstract

We show that the static structure factor of general many-body systems with $U(1)$ symmetry has a lower bound determined only by the ground state Chern number. Our bound relies only on causality and non-negative energy dissipation, and holds for a wide range of systems. We apply our theory to (fractional) Chern insulators, (fractional) quantum spin Hall insulators, topological superconductors, and chiral spin liquids. Our results uncover a universal feature of topological phases beyond the quantized response.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Long and short time linear response of metals: a geometric approach

    cond-mat.str-el 2026-08 accept novelty 6.0 of 10

    For metals, the time-dependent quantum geometric tensor decomposes into a Drude-weight linear term and a divergent time-independent Fermi-surface term, and the ratio D/S1 distinguishes itinerant from bound charge at t...

  2. 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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