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Magnetoconductivity of the disordered two- and three-dimensionalsuperconductors is addressed at the onset of superconducting transition. Inthis regime transport is dominated by the fluctuation effects and we accountfor the interaction corrections coming from the Cooper channel. In contrast tomany previous studies we consider strong magnetic fields and varioustemperature regimes, which allow to resolve the existing discrepancies with theexperiments. Specifically, we find saturation of the fluctuations inducedmagneto-conductivity for both two- and three-dimensional superconductors atalready moderate magnetic fields and discuss possible dimensional crossover atthe immediate vicinity of the critical temperature. The surprising observationis that closer to the transition temperature weaker magnetic field provides thesaturation. It is remarkable also that interaction correction tomagnetoconductivity coming from the Cooper channel, and specifically the socalled Maki-Thompson contribution, remains to be important even away from thecritical region.

Magnetoconductivity of low-dimensional disordered conductors at the onset of the superconducting transition