Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice

Abstract

We demonstrate that a three dimensional time-periodically driven (Floquet) lattice can exhibit chiral hinge states and describe their interplay with Weyl physics. A peculiar type of the hinge states are enforced by the repeated boundary reflections with lateral Goos-Hänchen like shifts occurring at the second-order boundaries of our system. Such chiral hinge modes coexist in a wide range of parameters regimes with Fermi arc surface states connecting a pair of Weyl points in a two-band model. We find numerically that these modes still preserve their locality along the hinge and their chiral nature in the presence of local defects and other parameter changes. We trace the robustness of such chiral hinge modes to special band structure unique in a Floquet system allowing all the eigenstates to be localized in quasi-one-dimensional regions parallel to each other when open hinge boundaries are introduced. The implementation of a model featuring both the second-order Floquet skin effect and the Weyl physics is straightforward with ultracold atoms in optical superlattices.

arXiv commentPublished version, open access article, 17 pages, 13 figures, 74 references

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Cited by in corpus (6)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Floquet engineering topological Dirac bands
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Multi-frequency optical lattice for dynamic lattice-geometry control
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Gapless higher-order topology and corner states in Floquet systems