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Novel topological phases in three-dimensional, time-reversal-symmetry-broken insulators are distinct and labeled by integers. These phases host guaranteed delocalized boundary states with quantized Hall conductance.

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Area of Science:

  • Condensed Matter Physics
  • Topological Matter Physics

Background:

  • Understanding topological phases of matter is crucial for novel quantum phenomena.
  • Time-reversal symmetry breaking in insulators can lead to exotic topological states.

Purpose of the Study:

  • To investigate the classification of three-dimensional, time-reversal-symmetry-broken insulators.
  • To identify distinct topological phases and their properties.

Main Methods:

  • Theoretical analysis of fully localized, three-dimensional insulators.
  • Characterization of topological invariants and boundary states.

Main Results:

  • Fully localized, time-reversal-symmetry-broken insulators realize topologically distinct phases labeled by integers.
  • Phase transitions occur when the system becomes conducting.
  • These novel topological phases host delocalized boundary states.

Conclusions:

  • The discovered topological phases are fundamentally distinct from insulators without disorder.
  • Quantized boundary Hall conductance, equal to the bulk topological invariant, is a hallmark of these phases.