Superconducting fluctuations in the high-temperature superconductors: Theory of the dc resistivity in the normal state

By assuming that the mean-field transition temperature ${\mathit{T}}_{\mathit{m}}$ is higher than the superconducting transition temperature ${\mathit{T}}_{\mathit{c}}$, and that the scattering between the electrons and impurities is important, we crudely estimate the electric conductivity ${\mathrm{\ensuremath{\sigma}}}_{\mathit{a}\mathit{b}}$ in the ab plane and ${\mathrm{\ensuremath{\sigma}}}_{\mathit{c}}$ along the c direction in the high-temperature superconductors. Since the coherence length along the c direction is unusually short, a metallic temperature dependence of ${\mathrm{\ensuremath{\sigma}}}_{\mathit{a}\mathit{b}}$ and a nonmetallic behavior of ${\mathrm{\ensuremath{\sigma}}}_{\mathit{c}}$ are obtained and their magnitudes are found to be consistent with the experimental data.

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