%0 Journal Article %T Transport and particle-hole asymmetry in graphene on boron nitride %A Ashley M. DaSilva %A Jeil Jung %A Shaffique Adam %A Allan H. MacDonald %J Physics %D 2015 %I arXiv %R 10.1103/PhysRevB.91.245422 %X All local electronic properties of graphene on a hexagonal boron nitride (hBN) substrate exhibit spatial moir\'e patterns related to lattice constant and orientation differences between shared triangular Bravais lattices. We apply a previously derived effective Hamiltonian for the $\pi$-bands of graphene on h-BN to address the carrier-dependence of transport properties, concentrating on the conductivity features at four electrons and four holes per unit cell. These transport features measure the strength of Bragg scattering of $\pi$-electrons off the moir\'e pattern, and exhibit a striking particle-hole asymmetry that we trace to specific features of the effective Hamiltonian that we interpret physically. %U http://arxiv.org/abs/1503.04312v2