Possible amplification of superconductivity by a magnetic field (in a gapless region)

A simple possible model of a two-dimensional superconductor where superconductivity is suppresses by traditional impurities with occurrence of slitness range is studied. Equations for the order parameter in magnetic field in the Ginzburg-Landau approximation near the critical concentration of impurities under absolute zero and at end (low) temperatures are obtained. Linkage of various components of the order parameter represents a specific peculiar feature of these equations though only one of them lacks magnetic field thus resulting in isotropic slit in Fermi-spectrum. 8 refs., 1 fig