Family of Multilayer Graphene Superconductors with Tunable Chirality: Momentum-Space Vortices Forged in the Berry-Ring of Fire

Recent experiments in rhombohedral-stacked multilayer graphene heterostructures have reported signatures of chiral superconductivity, emerging from a spin and valley-polarized normal state with broken time-reversal symmetry and an associated anomalous Hall effect. These findings bring into focus the role of the electronic Bloch wavefunction and the quantum geometric tensor in determining the superconducting pairing channel. Here, we examine superconducting instabilities of a model of $N$-layer rhombohedral graphene that possesses an enhanced Berry curvature distribution on an extended ring in momentum space -- that we dub the `Berry-ring of fire' -- in the presence of an isotropic attractive interaction with a parametrically controlled spatial range. We theoretically discover a family of chiral superconductors and, remarkably, momentum-space vortices nucleated on the Berry-ring of fire, which can be traced to a momentum-space flux quantization condition involving the Berry curvature with the phase winding dictated by a combination of the Berry flux and a `statistical flux' to enforce Fermi-Dirac statistics. We discuss ways in which these predictions can be experimentally tested and potentially exploited in future devices.