Projective representation of D 6 group in twisted bilayer graphene* *Project supported by DOE Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award DE-SC0010526.

Abstract

Within the framework of continuum model, we study the projective representation of emergent D 6 point group in twisted bilayer graphene. We then construct tight-binding models of the lowest bands without and with external electromagnetic fields, based on the projective representation.