Recent experiments show that a substantial energy gap in graphene can be induced via patterned hydrogenation on an iridium substrate. Here, we show that the energy gap is roughly proportional to NH/NC when disorder is accounted for, where NH and NC denote concentration of hydrogen and carbon atoms, respectively. The dispersion relation, obtained through calculation of the momentum-energy resolved density of states, is shown to agree with previous angle-resolved photoemission spectroscopy results. Simulations of electronic transport in finite size samples also reveal a similar transport gap, up to 1eV within experimentally achievable NH/NC value.
@article{arxiv.1111.4887,
title = {Scaling of the energy gap in pattern-hydrogenated graphene},
author = {Roberto Grassi and Tony Low and Mark Lundstrom},
journal= {arXiv preprint arXiv:1111.4887},
year = {2011}
}