Unified framework for the full hierarchy of topological boundary states in Floquet crystals
Peer-Reviewed Publication
Updates every hour. Last Updated: 26-Oct-2026 11:16 ET (26-Oct-2026 15:16 GMT/UTC)
Boundary states in topological states of matter are determined by bulk topological invariants. The conventional bulk–boundary correspondence typically maps a single invariant to a specific boundary mode, which complicates the description of systems hosting multiple coexisting topological phases. Now, writing in the journal National Science Review, researchers proposed a unified characterization of strong, weak, and higher-order topological boundary states in two-dimensional Floquet systems using three complementary one-dimensional winding numbers, offering new insights into the prediction and manipulation of complex topological phases.
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