Graphene flakes placed on hexagonal boron nitride feature in the presence of a magnetic field a complex electronic structure due to a hexagonal moir\'e potential resulting from the van der Waals interaction with the substrate. The slight lattice mismatch gives rise to a periodic supercell potential. Zone folding is expected to create replica of the original Dirac cone and Hofstadter butterflies. Our large-scale tight binding simulation reveals an unexpected coexistence of a relativistic and non-relativistic Landau level structure. The presence of the zeroth Landau level and its associated butterfly is shown to be the unambiguous signature for the occurrence of Dirac cone replica.
@article{arxiv.1409.3783,
title = {Graphene quantum dot on boron nitride: Dirac cone replica and Hofstadter butterfly},
author = {L. A. Chizhova and F. Libisch and J. Burgdörfer},
journal= {arXiv preprint arXiv:1409.3783},
year = {2014}
}