Graphene bilayer with a twist: electronic structure.

By J. M. B. Lopes dos Santos, N. M. R. Peres, A. H. Castro Neto. Physical Review Letters, 2007

1,161 citations recorded by the source corpus.

We consider a graphene bilayer with a relative small angle rotation between the layers--a stacking defect often seen in the surface of graphite--and calculate the electronic structure near zero energy in a continuum approximation. Contrary to what happens in an AB stacked bilayer and in accord with observations in epitaxial graphene, we find: (a) the low energy dispersion is linear, as in a single layer, but the Fermi velocity can be significantly smaller than the single-layer value; (b) an external electric field, perpendicular to the layers, does not open an electronic gap.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/21e6539aad794be7d74485ffff2060979577e121

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Origin of Magic Angles in Twisted Bilayer Graphene. (2018, methodology): “[35, 39]) can be viewed as including perturbation on top of our model.”
The electronic properties of graphene (2007, background): “In the ase of bilayergraphene, a rotation by a small ommensurate angle leadsto the e e tive de oupling between layers and the re ov-ery of the linear Dira spe trum of the single layer albeitwith a modi ation on the value of the Fermi velo ity(Lopes dos Santos et al., 2007).1.”
Moiré butterflies in twisted bilayer graphene (2011, background): “For θ smaller than roughly ten degrees, the low energy spectrum is faithfully described by a continuum model obtained via an envelope function approximation[17, 23].”
Raman spectroscopy and imaging of graphene (2008, background): “different twist angle between the first and second graphene layer for different samples. Different twist angle between the two layers will result in different amount of slowing down of Fermi velocity,[69] hence the different blueshift of 2D band. Another reason is the separation of the two layers, w”
Colloquium: Graphene spectroscopy (2014, background): “Calculations predict a strong dependence of the velocity on the twist angle (Bistritzer and MacDonald, 2011; Trambly de Laissardiére et al., 2010; Lopes dos Santos et al., 2007, 2012; Shallcross et al., 2010).”
Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions (2018, background): “40, for large twist angles case (i) applies, and the system is generically gapped or gapless at charge neutrality depending on the symmetry setting; for small twist angles, however, multiple studies have pointed out that the key electronic properties of the system at the meV energy scale are univers”