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Quantum Hall effect in twisted bilayer graphene.

Dong Su Lee1, Christian Riedl, Thomas Beringer

  • 1Max-Planck-Institut für Festköperforschung, Stuttgart, Germany.

Physical Review Letters
|December 21, 2011
PubMed
Summary
This summary is machine-generated.

Twisted bilayer graphene shows topologically protected quantum Hall behavior, similar to Bernal bilayers. An anomaly reveals localized states due to interlayer coupling variations.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Twisted bilayer graphene (TBG) exhibits unique electronic properties due to interlayer coupling.
  • Quantum Hall effect (QHE) in 2D materials is crucial for understanding topological phases.
  • Bernal bilayer graphene serves as a reference for QHE studies.

Purpose of the Study:

  • Investigate the quantum Hall behavior of twisted bilayer graphene transferred from SiC.
  • Determine if topological protection of the zero-energy mode persists despite rotational disorder.
  • Characterize an observed anomaly in the Hall conductivity plateaus.

Main Methods:

  • Fabrication of twisted bilayer graphene on SiC.
  • Measurement of Hall conductivity under varying magnetic fields.
  • Analysis of plateau positions and Landau level degeneracies.

Main Results:

  • Observed Hall conductivity plateaus match those of commensurate Bernal bilayer graphene.
  • Eightfold degeneracy of the zero-energy mode is topologically protected, even with rotational disorder.
  • A magnetic field-dependent offset in plateau densities indicates a pool of low-energy localized states.

Conclusions:

  • The study confirms topological protection in twisted bilayer graphene, consistent with theoretical predictions.
  • Localized states arising from inhomogeneous interlayer coupling affect Landau level degeneracy.
  • This work provides insights into the electronic properties and topological nature of twisted bilayer graphene.