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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Topological Matter

Background:

  • Higher-order topological insulators (HOTIs) are typically protected by crystalline symmetries.
  • Second-order topological insulators (SOTIs) in 3D exhibit chiral hinge modes.
  • The existence of HOTIs in disordered, amorphous systems remains unexplored.

Purpose of the Study:

  • To investigate the possibility of SOTIs in amorphous systems without crystalline symmetry.
  • To explore the role of structural disorder in inducing topological phases.
  • To demonstrate SOTIs in amorphous systems with time-reversal symmetry.

Main Methods:

  • Theoretical prediction of topological phases in amorphous solids.
  • Analysis of winding numbers related to quadrupole moments.
  • Investigation of quantized longitudinal conductance and hinge states.

Main Results:

  • Prediction of a novel SOTI phase in amorphous systems lacking crystalline symmetry.
  • Observation of topological signatures including winding number, quantized conductance, and hinge states.
  • Demonstration that structural disorder can induce SOTIs from trivial phases.

Conclusions:

  • SOTIs can exist in amorphous materials without crystalline symmetry.
  • Structural disorder can be beneficial, inducing topological phases.
  • Amorphous SOTIs are achievable even with time-reversal symmetry.