We study the electron-phonon coupling in twisted bilayer graphene (TBG), which was recently experimentally observed to exhibit superconductivity around the magic twist angle θ≈1.05∘. We show that phonon-mediated electron electron attraction at the magic angle is strong enough to induce a conventional intervalley pairing between graphene valleys K and K′ with a superconducting critical temperature Tc∼1K, in agreement with the experiment. We predict that superconductivity can also be observed in TBG at many other angles θ and higher electron densities in higher Moir\'e bands, which may also explain the possible granular superconductivity of highly oriented pyrolytic graphite. We support our conclusions by \emph{ab initio} calculations.
@article{arxiv.1807.04382,
title = {Twisted Bilayer Graphene: A Phonon Driven Superconductor},
author = {Biao Lian and Zhijun Wang and B. Andrei Bernevig},
journal= {arXiv preprint arXiv:1807.04382},
year = {2019}
}