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

Topological bound on structure factor

Yugo Onishi , Liang Fu This is my paper

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classification cond-mat.str-el cond-mat.mes-hall
keywords boundtopologicalchernfactorfractionalinsulatorsonlyspin
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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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