We predict that the spin-polarized electrons in a two-dimensional triangular lattice with strong electron-electron repulsion give rise to $f$-wave pairing. The key point is that the first-order interaction, which is usually pair breaking, vanishes or nearly vanishes in certain $f$-wave channels due to symmetry constraints. As a result, these $f$-wave pairing channels are governed by the subleading-order processes which enable pairing when the perturbation theory is controlled. We illustrate this point using the Hubbard model on the triangular lattice with on-site and nearest-neighbor repulsion, where we find a transition temperature $T_c\sim 0.2\%$ of the Fermi energy. For a general screened interaction, the same idea works asymptotically, but a third-order calculation is needed to fully determine the strength of $f$-wave pairing.

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• Ferromagnetic superconductors
• High-temperature superconductors
• Triangular lattice
• Perturbation theory