Floquet higher order topological insulator in a periodically driven bipartite lattice

Abstract

Floquet higher order topological insulators (FHOTIs) are a novel topological phase that can occur in periodically driven lattices. An appropriate experimental platform to realize FHOTIs has not yet been identified. We introduce a periodically-driven bipartite (two-band) system that hosts FHOTI phases, and predict that this lattice can be realized in experimentally-realistic optical waveguide arrays, similar to those previously used to study anomalous Floquet insulators. The model exhibits interesting phase transitions from first-order to second-order topological matter by tuning a coupling strength parameter, without breaking lattice symmetry. In the FHOTI phase, the lattice hosts corner modes at eigenphase $0$ or $\pi$, which are robust against disorder in the individual couplings.

5+ pages for the main text, plus 7 pages for the Supplementary Materials, to be submitted to Phys. Rev. B

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• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Measurement of a topological edge invariant in a microwave network
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