Electronic properties of twisted bilayer graphene in high-energy k . p-Hamiltonian approximation

摘要

A model of twisted bilayer graphene has been offered on the base of developed quasi-relativistic approach with high energy k . p-Hamiltonian. Monolayer-graphene twist is accounted as a perturbation of monolayer-graphene Hamiltonian in such a way that at a given point of the Brillouin zone there exists an external non-Abelian gauge field of another monolayer. Majorana-like resonances have been revealed in the band structure of model at a magic rotation angle theta(M) = 1.05 degrees. The simulations have also shown that a superlattice energy gap existing at a rotation angle 1.08 degrees vanishes at a rotation angle 1.0 degrees.