Floquet higher order topological insulator in a periodically driven bipartite lattice

• URL: http://arxiv.org/abs/2010.03879v1
• Date: Thu, 8 Oct 2020 10:15:36 GMT
• Title: Floquet higher order topological insulator in a periodically driven bipartite lattice
• Authors: Weiwei Zhu, Y. D. Chong, and Jiangbin Gong
• Abstract summary: Floquet higher order topological insulators (FHOTIs) are a novel topological phase that can occur in periodically driven lattices. We predict that this lattice can be realized in experimentally-realistic optical waveguide arrays.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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