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Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene

Yang-Zhi Chou, Fengcheng Wu, Jay D. Sau, Sankar Das Sarma

DOI 10.1103/PhysRevB.105.L100503 · Physical Review B

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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 Tc∼20 mK near ne=−0.6×1012 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.

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