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A Ginzburg-Landau approach to fluctuations of a layered superconductor in amagnetic field is used to show that the interlayer coupling can be incorporatedwithin an interacting self-consistent theory of a single layer, in the limit ofa large number of neighboring layers. The theory exhibits two phase transitions-- a vortex liquid-to-solid transition is followed by a Bose-Einsteincondensation into the Abrikosov lattice -- illustrating the essential role ofinterlayer coupling. Using this theory, explicit expressions for magnetization,specific heat, and fluctuation conductivity are derived. We compare our resultswith recent experimental data on the iron-pnictide superconductors.

Large $D-2$ Theory of Superconducting Fluctuations in a Magnetic Field and its Application to Iron-Pnictides