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Area of Science:

  • Condensed Matter Physics
  • Topological Materials Science
  • Metamaterials

Background:

  • Spatial dislocations and momentum-space topology have driven interest in topological dislocation modes.
  • Floquet band topology offers a framework for understanding time-dependent topological phenomena.

Purpose of the Study:

  • To theoretically and experimentally demonstrate time-dislocation topological modes.
  • To explore the interplay between temporal dislocations and Floquet band topology.
  • To investigate the spatial localization of these novel topological modes.

Main Methods:

  • Theoretical modeling of time-dislocation topological modes.
  • Experimental implementation using a three-dimensional circuit metamaterial.
  • Utilizing an extra physical dimension to represent a frequency-space lattice.
  • Observation of topological corner modes in a two-dimensional Floquet higher-order topological phase.

Main Results:

  • Successful demonstration of time-dislocation topological modes.
  • Observation of time-dislocation induced π-mode topological corner modes.
  • Exhibition of spatial localization of topological modes at the temporal dislocation.
  • Homogeneous in-plane lattice couplings across the temporal dislocation were confirmed.

Conclusions:

  • The study establishes time-dislocation topological modes as a new class of topological phenomena.
  • This work highlights the potential of combining real-space, time-space, and momentum-space topology.
  • Opens new research directions in topological physics and metamaterials.