Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene

Abstract

We present a systematic theory of acoustic-phonon-mediated superconductivity, which incorporates Coulomb repulsion, explaining the recent experiment in Bernal bilayer graphene under a large displacement field. The acoustic-phonon mechanism predicts that $s$-wave spin-singlet and $f$-wave spin-triplet pairings are degenerate and dominant. Assuming a spin-polarized valley-unpolarized normal state, we obtain $f$-wave spin-triplet superconductivity with a $T_c\sim 20$ mK near $n_e=-0.6\times 10^{12}$ cm${}^{-2}$ for hole doping, in approximate agreement with the experiment. We further predict the existence of superconductivity for larger doping in both electron-doped and hole-doped regimes. Our results indicate that the observed spin-triplet superconductivity in Bernal bilayer graphene arises from acoustic phonons.

6+4 pages, 4+2 figures

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• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
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• Signatures of electronic ordering in transport in graphene flat bands
• Spectroscopic signature of spin triplet odd-valley superconductivity in two-dimensional materials
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