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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Chemistry

Background:

  • Topological insulators are materials with unique electronic properties.
  • Standard classification methods include the tenfold way and topological quantum chemistry.
  • Wannier localization is a key concept in understanding topological phases.

Purpose of the Study:

  • Introduce a new class of topological insulators.
  • Challenge existing classification paradigms.
  • Characterize a novel type of topological property termed 'delicate topology'.

Main Methods:

  • Analysis of Wannier functions and their localization properties.
  • Application of symmetry-based indicator methods.
  • Investigation of band topology under perturbations.

Main Results:

  • Identified topological insulators with symmetric, exponentially localized Wannier functions.
  • Demonstrated that Wannier functions cannot be confined to a single unit cell.
  • Classified this topology as 'delicate', distinct from stable or fragile types.

Conclusions:

  • Wannierizability does not preclude non-trivial topology.
  • Existing classification methods may overlook certain topological phases.
  • Delicate topological phases are susceptible to disruption by trivial bands.