Antiferromagnetically driven electronic correlations in iron pnictides and cuprates

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