We investigate the recently discovered multiple superconducting states in rhombohedral graphene quarter metal. We demonstrate that one of these states features a single-spin, single-valley, single-band, single-Fermi-pocket parent state and is most likely a chiral topological pair-density wave, characterized by an ultra-small Fermi pocket and an ultra-large pairing momentum. This novel state exhibits three defining features: a 2D periodic modulation of the pairing phase compatible with the threefold symmetry; unpaired Majorana zero modes localized at edges, vortices, and pairing-phase dislocations; and an anomalous spin-polarized intrinsic superconducting diode effect.

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• Topological materials
• Topological superconductors
• Valley degrees of freedom
• 2-dimensional systems
• Graphene
• Layered semiconductors
• Strongly correlated systems
• Bogoliubov-de Gennes equations
• Materials modeling
• Superconductivity