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Kohn-Luttinger pseudopairing in a two-dimensional Fermi liquid

2003; American Physical Society; Volume: 67; Issue: 14 Linguagem: Inglês

10.1103/physrevb.67.144520

1095-3795

Victor Galitski, S. Das Sarma,

Cold Atom Physics and Bose-Einstein Condensates

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.