Abstract

We have formulated the Aslamazov–Larkin equations for the fluctuation induced conductivity (FIC) of polycrystalline high- T c superconductors (HTSC) with the help of the effective medium theory (EMT) which may be used for the analysis of data of polycrystalline samples. The grains are assumed to be spherical in shape. As expected the temperature exponent in the three dimensional (3D) fluctuation remains unaltered whereas the temperature dependence of FIC in the 2D regime is different from that of a crystal and turns out to be more complicated in the polycrystalline sample. The change is controlled by the anisotropic nature of the sample. It is also interesting to find that the fluctuation induced conductivity in polycrystalline material is smaller corresponding to their counterparts in a single crystal for both the 3D and 2D regimes which is qualitatively corroborated by observations on HTSC.

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