Phonons and electron-phonon coupling in graphene-h-BN heterostructures

First principle calculations of the phonons of graphene-h-BN heterostructures are presented and compared to those of the constituents. It is shown that AA and AB stacking are not only energetically less favoured than AB but also dynamically unstable. Low energy flat phonon branches of h-BNcharacter with out of plane displacement have been identified and their coupling to electrons in graphene has been evaluated.