Abstract
Model of a superconducting singular Fermi liquid with divergent scattering amplitude for particles with the same momenta is considered within the Bogolubov method. The system displays a pseudogap behavior and the phase transition between the superconducting and the normal phase is found to be of the first order with a pronounced discontinuity in the entropy. The response of the system to a weak magnetic field acting on both spin and charge degrees of freedom is studied. The spin susceptibility and the magnetic field penetration depth are discussed. Numerical results for the s-wave paired singular Fermi liquid are presented.
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