Fluctuations in high Tc superconductors with inequivalent conducting layers

The fluctuation contribution to the London penetration depth λ, paraconductivity parallel to the ab-plane (σ'ab) and to the c-axis (σ'c) and the fluctuation specific heat (Cfl) of layered high-Tc superconductors with inequivalent conducting layers are calculated using a Lawrence-Doniach (LD) free energy functional proposed by Bulaevskii and Vagner. Dimensional cross over (DCR) occurs near Tc. The specific temperature dependence of σ'c differs qualitatively from that of σ'ab. The fluctuation contribution below Tc to the London penetration depth is anisotropic in the ab-plane for YBaCuO compounds. (author)