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Twisted Bilayer Graphene: A Phonon Driven Superconductor

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abstract

We study the electron-phonon coupling in twisted bilayer graphene (TBG), which was recently experimentally observed to exhibit superconductivity around the magic twist angle $\theta\approx 1.05^\circ$. 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 $T_c\sim1K$, in agreement with the experiment. We predict that superconductivity can also be observed in TBG at many other angles $\theta$ 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.

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2019 1

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REJECT 1

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  • Effects of Defects in Superconducting Phase of Twisted Bilayer Graphene cond-mat.supr-con · 2019-08-26 · reject · none · ref 9 · internal anchor

    Impurity-induced bound-state counts and disorder phase diagrams are computed for s-wave, d+id, and p+ip pairing in twisted bilayer graphene models, yielding a proposed STM diagnostic for pairing symmetry.