Motivated by the observation of two distinct superconducting phases in the moir\'eless ABC-stacked rhombohedral trilayer graphene, we investigate the electron-acoustic-phonon coupling as a possible pairing mechanism. We predict the existence of superconductivity with the highest Tc∼3K near the Van Hove singularity. Away from the Van Hove singularity, Tc remains finite in a wide range of doping. In our model, the s-wave spin-singlet and f-wave spin-triplet pairings yield the same Tc, while other pairing states have negligible Tc. Our theory provides a simple explanation for the two distinct superconducting phases in the experiment and suggests that superconductivity and other interaction-driven phases (e.g., ferromagnetism) can have different origins.
@article{arxiv.2106.13231,
title = {Acoustic-phonon-mediated superconductivity in rhombohedral trilayer graphene},
author = {Yang-Zhi Chou and Fengcheng Wu and Jay D. Sau and Sankar Das Sarma},
journal= {arXiv preprint arXiv:2106.13231},
year = {2021}
}