Fluctuation conductivity due to the preformed local pairs

We investigate the properties of a system where the itinerant electrons coexist and interact with the preformed local pairs. Using the nonperturbative continuous unitary transformation technique we show that Andreev-type scattering between these charge carriers gives rise to the enhanced diamagnetic response and is accompanied by appearance of the Drude peak inside the pseudogap regime \omega <2\Delta_{pg}. Both thes effects are caused above the transition temperature T_c by the short-range superconducting correlations. In fact, the residual diamagnetism has been detected by the torque magnetometry in the lanthanum and bismuth cuprate superconductors at temperatures up to ~ 1.5T_c. In this work we show how the superconducting correlations can be observed in the a.c. and d.c. conductivity.