Dispersive nodal fermions along grain boundaries in Floquet topological crystals

Abstract Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its most prominent example. Here we show that topologicall...

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Bibliographic Details
Main Authors: Daniel J. Salib, Bitan Roy
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-83573-3
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Summary:Abstract Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its most prominent example. Here we show that topologically robust gapless dispersive modes appear along the grain boundaries, embedded in the interior of Floquet topological crystals, when the Floquet-Bloch band inversion occurring at a finite momentum ( $$\textbf{K}^\textrm{Flq}_\textrm{inv}$$ K inv Flq ) and the Burgers vector ( $$\textbf{b}$$ b ) of the constituting array of dislocations satisfy $$\textbf{K}^\textrm{Flq}_\textrm{inv} \cdot \textbf{b}=\pi$$ K inv Flq · b = π (modulo $$2 \pi$$ 2 π ). Such nondissipative gapless states can be found near the center and/or edges of the Floquet Brillouin zone, irrespective of the drive protocol. We showcase these general outcomes for two-dimensional driven time-reversal symmetry breaking insulators. Promising experimental platforms hosting such dynamic topological dispersive bands in real materials are discussed.
ISSN:2045-2322