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Deterministic Scheme for Two-Dimensional Type-II Dirac Points and Experimental Realization in Acoustics.

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Researchers developed a deterministic band-folding method to create type-II Dirac points, enabling the study of unique anisotropic physical properties and Lorentz-violating physics in acoustic systems.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Acoustics

Background:

  • Low-energy electrons near Dirac/Weyl nodal points mimic relativistic fermions.
  • Type-II Dirac/Weyl cones, arising from Lorentz invariance violation, offer unique anisotropic properties.
  • Realizing type-II nodal points is challenging due to their accidental degeneracy.

Purpose of the Study:

  • To propose a simple and deterministic strategy for constructing type-II Dirac points.
  • To experimentally visualize and investigate type-II Dirac points and their associated phenomena.
  • To provide a platform for exploring Lorentz-violating physics.

Main Methods:

  • Band-folding scheme for constructing type-II Dirac points.
  • Tight-binding analysis for generality and deterministic nature.
  • Experimental realization and near-field mapping in acoustic systems.

Main Results:

  • Demonstrated a deterministic band-folding scheme for type-II Dirac points.
  • Experimentally visualized type-II Dirac points in acoustic metamaterials.
  • Observed strongly tilted kink states due to valley-Hall effects from tipped-over Dirac cones.

Conclusions:

  • The proposed band-folding scheme offers a general and deterministic route to type-II Dirac points.
  • Acoustic systems provide a viable platform for studying these exotic nodal points.
  • This work opens avenues for investigating novel physics in Lorentz-violating systems.