Topological bound on structure factor
ORAL
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.
*This work was supported by the U.S. Army Research Laboratory and the U.S. Army Research Office through the Institute for Soldier Nanotechnologies under Collaborative Agreement Number W911NF-18-2-0048 and a Simons Investigator Award from the Simons Foundation. YO is grateful for the support provided by the Funai Overseas Scholarship. LF was partly supported by the Air Force Office of Scientific Research under award number FA2386-24-1-4043.
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Publication: arXiv:2406.18654 (accepted to Physical Review Letters)
Presenters
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Yugo Onishi
- Massachusetts Institute of Technology