an even stronger correlation that induces a ratio $R\approx 0.3$ which is similar to results for overdoped La$_{2-x}$Sr$_x$CuO$_4$, widely considered to be a “correlated metal”. Other studies have arrived to similar conclusions with regards to the correlation strength [@nakamura; @dsinosov11]. In agreement with experiments, DFT+DMFT predicts a mass enhancement $m^\ast/m_{band}\sim$2-3 for BaFe$_{2-x}T_x$As$_2$ and $\sim$7 for FeTe [@zpyin10]. Moreover, ARPES studies of NaFeAs revealed band reconstructions in the magnetic state involving bands well below the FS [@che10], contrary to a weak coupling picture.

![Summary of the phase diagram of multiorbital Hubbard models and the electronic state of Fe near the FS. (a) Sketch of the phase diagram of a typical multiorbital Hubbard model in the undoped limit, varying the on-site same-orbital repulsion $U$ and the ratio between the Hund coupling $J_H$ and $U$. Highlighted is a region dubbed “physical region” where the properties of the model are in good agreement with experiments. Note the location of this region in the intermediate magnetic-metallic phase, with magnetic order at ${\bf Q}_{AF}=(1,0)$, at similar distance from the paramagnetic state and from the insulator orbitally-ordered state [@qluo10]. (b) Sketch of the DOS illustrating the phenomenon of FS orbital order, which is a weight redistribution at 