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Topological Phase Transitions in Disordered Electric Quadrupole Insulators.

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Disorder can drive topological phase transitions in electric quadrupole insulators. Chiral symmetry protects topological invariants, enabling corner modes even with broken symmetries.

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Area of Science:

  • Condensed matter physics
  • Topological matter
  • Quantum insulators

Background:

  • Quantized electric quadrupole insulators are a class of higher-order topological insulators.
  • Topological phase transitions are typically sensitive to symmetry breaking and disorder.
  • Chiral symmetry plays a crucial role in protecting topological properties.

Purpose of the Study:

  • To investigate disorder-driven topological phase transitions in 2D quantized electric quadrupole insulators.
  • To explore the role of chiral symmetry in protecting topological invariants under disorder.
  • To understand the emergence of corner modes and boundary states in disordered systems.

Main Methods:

  • Theoretical analysis of 2D electric quadrupole insulators.
  • Investigation of the effects of disorder on topological invariants.
  • Characterization of bulk and boundary properties across phase transitions.

Main Results:

  • Chiral symmetry protects the quadrupole moment (qxy) quantization against disorder.
  • Disorder preserving chiral symmetry can induce topological phase transitions and corner modes from trivial phases.
  • Extended boundary states appear at critical points even under strong disorder.

Conclusions:

  • Disorder can be a key ingredient for realizing topological phase transitions in quantized electric quadrupole insulators.
  • Chiral symmetry is a robust protection mechanism for higher-order topological invariants.
  • The findings offer new pathways for designing topological materials and devices.