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Graphene stacked in a Bernal configuration (60 degrees relative rotations between sheets) differs electronically from isolated graphene due to the broken symmetry introduced by interlayer bonds forming between only one of the two graphene unit cell atoms. A variety of experiments have shown that non-Bernal rotations restore this broken symmetry; consequently, these stacking varieties have been the subject of intensive theoretical interest. Most theories predict substantial changes in the band structure ranging from the development of a Van Hove singularity and an angle dependent electron localization that causes the Fermi velocity to go to zero as the relative rotation angle between sheets goes to zero. In this work we show by direct measurement that non-Bernal rotations preserve the graphene symmetry with only a small perturbation due to weak effective interlayer coupling. We detect neither a Van Hove singularity nor any significant change in the Fermi velocity. These results suggest significant problems in our current theoretical understanding of the origins of the band structure of this material.
We construct a continuum model of twisted trilayer graphene using {it ab initio} density-functional-theory calculations, and apply it to address twisted trilayer electronic structure. Our model accounts for moire variation in site energies, hopping b
The sequence of the zeroth Landau levels (LLs) between filling factors $ u$=-6 to 6 in ABA-stacked trilayer graphene (TLG) is unknown because it depends sensitively on the non-uniform charge distribution on the three layers of ABA-stacked TLG. Using
Kondo physics in doped monolayer graphene is predicted to exhibit unusual features due to the linear vanishing of the pristine materials density of states at the Dirac point. Despite several attempts, conclusive experimental observation of the phenom
The discovery of correlated electronic phases, including Mott-like insulators and superconductivity, in twisted bilayer graphene (TBLG) near the magic angle, and the intriguing similarity of their phenomenology to that of the high-temperature superco
The low-energy excitations of graphene are relativistic massless Dirac fermions with opposite chiralities at valleys K and K. Breaking the chiral symmetry could lead to gap opening in analogy to dynamical mass generation in particle physics. Here we