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Quantum Hall Effect without Chern Bands.

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Researchers discovered a new quantum Hall effect in trivial band materials, showing quantized conductance with disorder. This integer-rounding mechanism offers a novel pathway to achieving quantum Hall phases.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Topological Materials

Background:

  • The quantum Hall effect (QHE) was first observed in 2D electron gases under strong magnetic fields, leading to quantized Hall conductance.
  • Generalizations of QHE include Chern insulators, which exhibit topological properties without net magnetization.
  • Topologically trivial bands, characterized by a zero Chern number, have not typically been associated with quantum Hall phenomena.

Purpose of the Study:

  • To investigate the occurrence of quantum Hall effect in topologically trivial band systems.
  • To explore the role of disorder in inducing quantum Hall phases in systems with trivial band topology.
  • To understand the underlying mechanism responsible for quantized conductance in these novel systems.

Main Methods:

  • Utilized a microscopic lattice model with topologically trivial bands (zero Chern number).
  • Introduced disorder to the system and analyzed the resulting transverse conductance.
  • Employed numerical transport simulations and analyzed topological markers to corroborate findings.

Main Results:

  • Observed robust integer quantized transverse conductance at the onset of disorder in a trivial band system.
  • Attributed the phenomenon to the energetic separation of nonquantized Berry fluxes within the trivial bands.
  • Demonstrated a transition from a critical regime to a quantum Hall phase induced by disorder and Fermi energy placement.

Conclusions:

  • A novel quantum Hall phase can emerge in topologically trivial materials through the introduction of disorder.
  • The observed integer-rounding mechanism, driven by Berry flux separation and mobility gap, quantizes Hall conductance.
  • This finding extends the understanding of the quantum Hall effect and its potential realization in diverse material systems.