Ginzburg-Landau Functional in Strong Fields of Disordered Superconducting Films with Repulsive Interaction

Effects of a repulsive interaction between electrons in two dimensional (2D) disordered superconductors are examined by neglecting the localization effect on noninteracting electrons and through a derivation of quantum Ginzburg-Landau (GL) action in a high magnetic field and at low temperatures. By examining the nature of perturbation series in the repulsive interaction, we find a strong evidence enough to believe that the mean field GL equation is well-defined even at zero temperature ( T =0). The resulting functional form of the dissipative term suggests a possibility that the dissipative time scale associated with the diagonal fluctuation conductivity may reduce to zero in the limit of T =0, leading to a significant growth of purely dissipative quantum fluctuation at a finite magnetic field in T =0 limit. On the other hand, we find that the effective strength of electron-hole assymmetry of the fluctuation, associated with the Hall fluctuation conductivity, also decreases due to the electron repulsion but cannot vanish in general at T =0. It is pointed out on the basis of the present calculation that, in general, the H c 2 ( T )-line in T =0 limit should be closely related to a reduction of the dissipative dynamics on cooling.