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Exceptional topology in ordinary soft matter.

Tsvi Tlusty1

  • 1Center for Soft and Living Matter, Institute for Basic Science, and Physics and Chemistry Departments, Ulsan National Institute of Science and Technology, Ulsan 44919, Korea.

Physical Review. E
|September 16, 2021
PubMed
Summary

Hydrodynamics in soft matter can create non-Hermitian topological phenomena. This research reveals bulk Fermi arcs and exceptional points in elastic lattices under viscous flow, enabling new topology-based technologies.

Area of Science:

  • Soft Matter Physics
  • Topological Physics
  • Hydrodynamics

Background:

  • Non-Hermitian phenomena are typically studied in synthetic materials.
  • Soft matter systems offer a new platform for exploring exotic physics.
  • Understanding hydrodynamics' role in material properties is crucial.

Purpose of the Study:

  • To demonstrate hydrodynamics-induced non-Hermitian topological phenomena in passive soft matter.
  • To investigate the formation of bulk Fermi arcs and exceptional points.
  • To explore the potential for topology-based technologies in soft matter.

Main Methods:

  • Subjecting a 2D elastic lattice to low-Reynolds viscous flow.
  • Utilizing analytic modeling and numerical simulations.

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  • Analyzing spectral band structures and density of states.
  • Main Results:

    • Hydrodynamics and elasticity interplay splits Dirac cones into bulk Fermi arcs.
    • Exceptional points with opposite half-integer topological charges are paired.
    • A web of van Hove singularity lines emerges in the density of states.

    Conclusions:

    • Non-Hermitian physics is achievable in ordinary soft matter.
    • Bulk Fermi arcs are a generic feature across symmetries.
    • This work opens avenues for topology-based soft matter technologies.