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Theory of phonon-mediated superconductivity in twisted bilayer graphene

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 نشر من قبل Fengcheng Wu
 تاريخ النشر 2018
  مجال البحث فيزياء
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We present a theory of phonon-mediated superconductivity in near magic angle twisted bilayer graphene. Using a microscopic model for phonon coupling to moire band electrons, we find that phonons generate attractive interactions in both $s$ and $d$ wave pairing channels and that the attraction is strong enough to explain the experimental superconducting transition temperatures. Before including Coulomb repulsion, the $s$-wave channel is more favorable; however, on-site Coulomb repulsion can suppress $s$-wave pairing relative to $d$-wave. The pair amplitude varies spatially with the moire period, and is identical in the two layers in the $s$-wave channel but phase shifted by $pi$ in the $d$-wave channel. We discuss experiments that can distinguish the two pairing states.



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