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The iron pnictides and the cuprates represent two families of materials,where strong antiferromagnetic correlation drives three other distinct orderingtendencies: (1) superconducting pairing, (2) Fermi surface distortion, and (3)orbital current order. We propose that (1)-(3) and the antiferromagneticcorrelation are the hallmarks of a class of strongly correlated materials towhich the cuprates and pnictides belong. In this paper we present the resultsof the functional renormalization group studies to support the above claim. Inaddition, we show that as a function of the interlayer hopping parameter, thedouble layer Hubbard model nicely interpolates between the cuprate and the ironpnictide physics. Finally, as a check, we will present the renormalizationgroup study of a ladder version of the iron pnictide, and compare the resultsto those of the two-dimensional model.

Antiferromagnetically Driven Electronic Correlation in Iron Pnictides and Cuprates