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Related Experiment Video

Updated: Jul 7, 2026

Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
14:52

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Published on: September 23, 2018

Graphene bilayer with a twist: electronic structure.

J M B Lopes Dos Santos1, N M R Peres, A H Castro Neto

  • 1CFP and Departamento de Física, Faculdade de Ciências, Universidade do Porto, 4169-007 Porto, Portugal.

Physical Review Letters
|February 1, 2008
PubMed
Summary
This summary is machine-generated.

This study examines twisted graphene bilayers, finding linear electronic dispersion and reduced Fermi velocity. Unlike AB-stacked bilayers, an electric field does not open an electronic gap in these twisted structures.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Nanotechnology

Background:

  • Graphene bilayers with small angle rotations are common stacking defects in graphite.
  • Understanding their electronic structure is crucial for novel electronic applications.
  • Previous studies on AB-stacked bilayers show different electronic properties.

Purpose of the Study:

  • To calculate the electronic structure of a small-angle twisted graphene bilayer near zero energy.
  • To investigate the effect of an external electric field on the electronic band gap.
  • To compare the findings with AB-stacked bilayers and experimental observations.

Main Methods:

  • Continuum approximation for electronic structure calculation.
  • Analysis of low-energy electronic dispersion relations.
  • Simulation of external perpendicular electric field effects.

Main Results:

  • Linear low-energy electronic dispersion, similar to single-layer graphene.
  • Significantly reduced Fermi velocity compared to single-layer graphene.
  • Absence of an electronic band gap opening under an external electric field.

Conclusions:

  • Small-angle twisted graphene bilayers exhibit unique electronic properties distinct from AB-stacked bilayers.
  • The reduced Fermi velocity offers potential for tunable electronic devices.
  • The inability to open a band gap with an electric field has implications for field-effect transistors.