## Abstract

I consider the possibility for a pairing instability in a 2D repulsive Fermi-liquid due to the singularity in the scattering amplitude Γ(q) at the momentum transfer q ≈2p_{F} (Kohn-Luttinger effect). For arbitrary Fermi-liquid, Γ(q) for the particles at the Fermi surface is found to have a singular part, Γ^{sing}(q) ∼ {Mathematical expression}. For large 2D orbital momentum l, this term gives a dominant attractive contribution to the scattering amplitude and leads to a pairing instability in a 2D Fermi-liquid with arbitrary short-range repulsion. In the dilute limit, numerical studies show that the effect survives down to l=1 and gives rise to a p-wave pairing.

Original language | English (US) |
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Pages (from-to) | 673-676 |

Number of pages | 4 |

Journal | Journal of Low Temperature Physics |

Volume | 89 |

Issue number | 3-4 |

DOIs | |

State | Published - Nov 1 1992 |