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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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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author Daniel J. Salib
Bitan Roy
author_facet Daniel J. Salib
Bitan Roy
author_sort Daniel J. Salib
collection DOAJ
description 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.
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spelling doaj-art-094d963e957f431fb5d48da7358905762025-01-19T12:18:53ZengNature PortfolioScientific Reports2045-23222025-01-0115111110.1038/s41598-024-83573-3Dispersive nodal fermions along grain boundaries in Floquet topological crystalsDaniel J. Salib0Bitan Roy1Department of Physics, Lehigh UniversityDepartment of Physics, Lehigh UniversityAbstract 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.https://doi.org/10.1038/s41598-024-83573-3
spellingShingle Daniel J. Salib
Bitan Roy
Dispersive nodal fermions along grain boundaries in Floquet topological crystals
Scientific Reports
title Dispersive nodal fermions along grain boundaries in Floquet topological crystals
title_full Dispersive nodal fermions along grain boundaries in Floquet topological crystals
title_fullStr Dispersive nodal fermions along grain boundaries in Floquet topological crystals
title_full_unstemmed Dispersive nodal fermions along grain boundaries in Floquet topological crystals
title_short Dispersive nodal fermions along grain boundaries in Floquet topological crystals
title_sort dispersive nodal fermions along grain boundaries in floquet topological crystals
url https://doi.org/10.1038/s41598-024-83573-3
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AT bitanroy dispersivenodalfermionsalonggrainboundariesinfloquettopologicalcrystals