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arxiv 2406.04763 v1 pith:PYXHFFKU submitted 2024-06-07 cond-mat.mes-hall physics.optics

Observation of higher-order time-dislocation topological modes

classification cond-mat.mes-hall physics.optics
keywords topologicalmodestime-dislocationinterplaytopologydislocationdislocationshigher-order
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Topological dislocation modes resulting from the interplay between spatial dislocations and momentum-space topology have recently attracted significant interest. Here, we theoretically and experimentally demonstrate time-dislocation topological modes which are induced by the interplay between temporal dislocations and Floquet-band topology. By utilizing an extra physical dimension to represent the frequency-space lattice, we implement a two-dimensional Floquet higher-order topological phase and observe time-dislocation induced $\pi$-mode topological corner modes in a three-dimensional circuit metamaterial. Intriguingly, the realized time-dislocation topological modes exhibit spatial localization at the temporal dislocation, despite homogeneous in-plane lattice couplings across it. Our study opens a new avenue to explore the topological phenomena enabled by the interplay between real-space, time-space and momentum-space topology.

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