Fundamental bound on topological gap

ORAL

Abstract

We provide a universal tight bound on the energy gap of topological insulators by exploring relationships between topology, quantum geometry, and optical absorption. Our results apply not only to noninteracting systems but also to interacting systems. Applications of our theory to infrared absorption near topological band inversion, magnetic circular dichorism in Chern insulators, and topological gap in moiré materials are demonstrated.

* 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. YO is grateful for the support provided by the Funai Overseas Scholarship. LF was partly supported by the David and Lucile Packard Foundation.

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Publication: arXiv preprint (Yugo Onishi and Liang Fu, Fundamental bound on topological gap, arXiv:2306.00078) is available at https://doi.org/10.48550/arXiv.2306.00078

Presenters

  • Yugo Onishi

    Massachusetts Institute of Technology

Authors

  • Yugo Onishi

    Massachusetts Institute of Technology

  • Liang Fu

    Massachusetts Institute of Technology MI, Massachusetts Institute of Technology, MIT