Floquet Chern insulators of light
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Author(s) • • • • •
He, Li
Addison, Zachariah
Jin, Jicheng
Mele, Eugene J.
Johnson, Steven G
Zhen, Bo
Date Issued
September 2019
Journal
Nature Communications
Publisher
Springer Science and Business Media LLC
Citation
He, Li et al. "Floquet Chern insulators of light." Nature Communications 10, 1 (September 2019): 4194 © 2019 The Authors
Version
Final published version
Abstract
Achieving topologically-protected robust transport in optical systems has recently been of great interest. Most studied topological photonic structures can be understood by solving the eigenvalue problem of Maxwell’s equations for static linear systems. Here, we extend topological phases into dynamically driven systems and achieve a Floquet Chern insulator of light in nonlinear photonic crystals (PhCs). Specifically, we start by presenting the Floquet eigenvalue problem in driven two-dimensional PhCs. We then define topological invariant associated with Floquet bands, and show that topological band gaps with non-zero Chern number can be opened by breaking time-reversal symmetry through the driving field. Finally, we numerically demonstrate the existence of chiral edge states at the interfaces between a Floquet Chern insulator and normal insulators, where the transport is non-reciprocal and uni-directional. Our work paves the way to further exploring topological phases in driven optical systems and their optoelectronic applications.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1038/s41467-019-12231-4