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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.
Forward citations
Cited by 2 Pith papers
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Effects of Defects in Superconducting Phase of Twisted Bilayer Graphene
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.
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High-$T_\textrm{C}$ Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moir$\'{e}$ Superlattices
Using a fitted universal constant from earlier work, the authors calculate twisted-bilayer-graphene transition temperatures of 1.94 K and 3.02 K and claim agreement with mean-field fits to published resistance data.
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