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arXiv · 1807.04382

Twisted Bilayer Graphene: A Phonon Driven Superconductor

Biao Lian·Zhijun Wang·B. Andrei Bernevig
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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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Biao Lian, Zhijun Wang, B. Andrei Bernevig. 2018-07-12. Twisted Bilayer Graphene: A Phonon Driven Superconductor. https://doi.org/10.1103/physrevlett.122.257002

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