the FS of the states associated with the $xz$ and $yz$ $d$-orbitals. Even though the integral over energy gives similar values for both orbitals, at the FS there are drastic differences that influence on several properties such as transport [@daghofer10; @daghofer12]. (c) Sketch of the anisotropy found in transport experiments for detwinned Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$. Note that this anisotropy is present at temperatures substantially larger than $T_N$ [@irfisher11]. (d) Orbitals of relevance for the discussion of the Fe-based superconductors and their splitting at the FS. (e) Sketch of the ARPES results of Ref. [@shimojima11], illustrating the absence of a nesting partner for one of the hole pockets. The material still displays a nearly uniform superconducting gap at this and all the other hole and electron pockets. (f) Sketch of the magnetic moment at wave vector ${\bf Q}_{AF}=(1,0)$ for two models. On the left is the result for a traditional model of pnictides, with the $xz$, $yz$, and $xy$ $d$-orbitals active at the FS. This model displays magnetic order in a broad range of couplings from very weak to strong. On the right, results of a model with the same FS but totally different orbital composition. While at small $U$ there is no 