Kohn-Luttinger pseudo-pairing in a two-dimensional Fermi-liquid

Details Kohn-Luttinger pseudo-pairing in a two-dimensional Fermi-liquid Kohn-Luttinger pseudo-pairing in a two-dimensional Fermi-liquid

2002-11-17

arxiv.org/abs/cond-mat/0211355v2

Phys. Rev. B 67, 144520 (2003)

Physics

Condensed Matter

Superconductivity

6 pages, 3 Eps figures; replaced with revised version

Scientific paper

10.1103/PhysRevB.67.144520

We consider possible superconducting instabilities in a two-dimensional Fermi system with short-ranged repulsive interactions between electrons. The possibility of an unusual superconducting paring due to the Kohn-Luttinger mechanism is examined. The quasiparticle scattering amplitude is shown to possess an attractive harmonic in second-order perturbation theory for finite values of the energy transfer. The corresponding singularity in the pairing vertex leads to a superconducting pairing of the electron excitations with finite energies. We identify the energy transfer in the Cooper channel as the binding energy of the excited pair. At low enough temperatures, the Fermi system is a mixture of normal electron excitations and fluctuating d-wave Cooper pairs possessing a finite gap.

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