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Nonlinear Second-Order Topological Insulators.

Farzad Zangeneh-Nejad1, Romain Fleury1

  • 1Laboratory of Wave Engineering, School of Electrical Engineering, EPFL, Station 11, 1015 Lausanne, Switzerland.

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PubMed
Summary
This summary is machine-generated.

We introduce nonlinear second-order topological insulators where nonlinearity controls topological phases. This allows dynamic tuning of edge and corner states without structural changes, promising applications in energy confinement and data storage.

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials
  • Nonlinear Optics

Background:

  • Topological insulators exhibit unique edge and corner states.
  • Controlling topological phases typically requires structural modifications.

Purpose of the Study:

  • To demonstrate nonlinear second-order topological insulators.
  • To show external control over topological phase transitions via nonlinearity.

Main Methods:

  • Theoretical modeling and experimental validation.
  • Utilizing evanescently coupled resonators with tunable nonlinear coupling.
  • Investigating bulk polarization and quantized Wannier centers.

Main Results:

  • Induced one-dimensional edge and zero-dimensional corner states in a trivial insulator.
  • Nonlinearity enables dynamic control over topological phase transitions.
  • Tuning spectral properties and localization of topological states.

Conclusions:

  • Nonlinear effects allow self-induced topological phases without structural changes.
  • Potential for reconfigurable topological energy confinement and advanced applications.
  • Applicable across diverse physical platforms like electronics, optics, and acoustics.