The effect of fluctuations on the transport and thermodynamic properties of two-dimensional superconductors in a perpendicular magnetic field is studied at low temperature $T\ll T_{c0\mathrm{}}.$ The fluctuation conductivity is calculated in the framework of perturbation theory with the help of the usual diagram technique. It is shown that in the dirty case the Aslamazov-Larkin, Maki-Thompson, and density of states contributions are of the same order. At extremely low temperature ${T/T}_{c0\mathrm{}}\ll \left[H-H_{c2\mathrm{}}\mathrm{}\right(0\left)\mathrm{}\right]{/H}_{c2\mathrm{}}\mathrm{}\left(0\right)\mathrm{}$ the total fluctuation correction to the normal conductivity is negative in the dirty limit and depends on the external magnetic field logarithmically $\delta \sigma \propto \ln \left[H-H_{c2\mathrm{}}\mathrm{}\right(0\left)\mathrm{}\right].$ In the nonlocal clean limit, the Aslamazov-Larkin contribution to conductivity is evaluated with the aid of Helfand-Werthamer theory. The longitudinal and Hall conductivities are found. The fluctuating magnetization is calculated in the one-loop and two-loop approximations.

• Received 8 November 2000

DOI:https://doi.org/10.1103/PhysRevB.63.174506