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Self-accelerating topological edge states.

Zhuo Zhang1, Yaroslav V Kartashov2, Milivoj R Belić3

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Summary
This summary is machine-generated.

Researchers demonstrate self-accelerating and non-diffracting edge states in topological insulators. These unique valley Hall edge states offer enhanced control over energy propagation, even around sharp corners.

Keywords:
photonic topological insulatorsself-accelerating beamstopological edge statevalley Hall effect

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials Science
  • Photonics and Optics

Background:

  • Topological insulators host robust edge states immune to scattering from defects.
  • Conventional edge state velocity is dictated by Bloch momentum.
  • Controlling edge state dynamics and propagation remains a key challenge.

Purpose of the Study:

  • To engineer self-accelerating and non-diffracting edge states in topological insulators.
  • To investigate the role of Airy envelopes in controlling valley Hall edge states.
  • To explore the impact of nonlinearity on these engineered edge states.

Main Methods:

  • Utilized valley Hall edge states at domain walls of honeycomb lattices with broken inversion symmetry.
  • Imposed Airy envelopes to modify edge state propagation dynamics.
  • Constructed and analyzed both linear and nonlinear self-accelerating edge states.

Main Results:

  • Demonstrated self-accelerating edge states with fixed Bloch momentum.
  • Observed non-diffracting propagation of edge states along the boundary.
  • Showcased self-healing properties and the ability to navigate sharp corners via apodization.

Conclusions:

  • Engineered edge states exhibit unique self-accelerating and non-diffracting characteristics.
  • Nonlinearity significantly influences the envelope properties of these states.
  • Findings open new avenues for controlling edge excitations in topological insulators.