THE SUPERCONDUCTING STATE OF A SINGULAR FERMI LIQUID IN A MAGNETIC FIELD

Model of a superconducting singular Fermi liquid with a divergent scattering amplitude for particles with the same momenta has been extended by the inclusion of an external magnetic field. Pseudogap-like behavior observed in the model is interpreted. The response of the system to a weak magnetic field acting on both: spin and charge degrees of freedom is studied within the Bogolubov method. The magnetization and the magnetic field penetration depth as well as the critical magnetic field and the critical current are found and discussed. Numerical results for a s-wave paired singular Fermi liquid are presented.