Superconductivity from repulsive interactions in rhombohedral trilayer graphene: A Kohn-Luttinger-like mechanism

We study the emergence of superconductivity in rhombohedral trilayer graphene due purely to long-range Coulomb repulsion. This repulsive-interaction-driven phase is significantly different from those found twisted bilayer and graphenes. In latter case, nontrivial momentum-space geometry Bloch wavefunctions leads an effective attractive electron-electron interaction; this allows for less modulated order parameters spin-singlet pairing. graphene, we instead find spin-triplet with critical temperatures up 0.15 K. The strongly depend on electron filling peak where density states diverge. parameter shows a significant modulation within each valley pocket Fermi surface.