We calculate theoretically the disorder-limited conductivity of monolayer and bilayer graphene on hexagonal boron nitride (h-BN) substrates, comparing our theoretical results with the recent experimental results. The comparison leads to a direct quantitative estimate of the underlying disorder strength for both short-range and long-range disorder in the graphene on h-BN system. We find that the good interface quality between graphene and h-BN leads to strongly suppressed charged impurity scattering compared with the corresponding SiO2 substrate case, thus producing very high mobility for the graphene on h-BN system.
@article{arxiv.1101.0299,
title = {Conductivity of graphene on boron nitride substrates},
author = {S. Das Sarma and E. H. Hwang},
journal= {arXiv preprint arXiv:1101.0299},
year = {2011}
}