Transport in graphene on boron nitride

The lattice mismatch and twist angle of graphene on boron nitride contributes to a long wavelength moire pattern in the atomic positions. This superlattice structure and the sublattice symmetry breaking in the hexagonal boron nitride layer lead to observable transport features in the graphene layer. We show a decreased conductivity at the Dirac point due to an opening of the band gap. There is also a decreased conductivity when the Fermi level is tuned to four carriers per moire unit cell, which is the position of the secondary Dirac points in perfectly matched and sublattice symmetric hexagonal bilayers. We show both intraband and interband contributions to the conductivity, the latter is peaked when the Fermi level is tuned inside the gaps, either at the Dirac point or the secondary Dirac points.