Proof for the electronic band crossing in sliding bilayer graphene

Dirac points are found to emerge due to the crossing of bands in the electronic structure of so-called sliding bilayer graphene. Group representation theory analysis corroborated with a tight-binding model for the {p}_{z}orbitals is employed to demonstrate that the band crossings of energy dispersion curves at generic \mathbf{k}points are guaranteed by the compatibility relations between the symmetries of eigenstates at the high-symmetry...