Goldstone-mediated superconductivity in rhombohedral graphene multilayers

By tuning doping and an out-of-plane displacement field, rhombohedral graphene multilayers can host a wide range of symmetry-broken phases, some of which give rise to superconductivity. The empirical connection between these symmetry-broken normal states and superconductivity raises the question: could the symmetry-breaking order itself provide the pairing glue? In this study, we explore several Goldstone-mediated pairing mechanisms, focusing particularly on spin-canting and inter-valley coherent orders. Our findings offer new insights into the relationship between broken symmetry and unconventional superconductivity, laying the groundwork for future investigations.