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We investigated the form of the orbital ordering in the electronic nematicphase of the Iron-based superconductors by applying a group theoreticalanalysis on a realistic five-band model. We find the orbital order can beeither of the inter-orbital s-wave form or the intra-orbital d-wave form. Fromthe comparison with existing ARPES measurements of band splitting, we find theorbital ordering in the 122 system is dominated by an intra-orbital d-wavecomponent, while that in the 111 system is dominated by an inter-orbital s-wavecomponent. We find both forms of orbital order are strongly entangled with thenematicity in the spin correlation of the system. The condensation energy ofthe magnetic ordered phase is found to be significantly improved(by more than20 percents) when the degeneracy between the $(\pi,0)$ and $(0,\pi)$ orderingpattern is lifted by the orbital order. We argue there should be largedifference in both the scattering rate and the size of the possible pseudogapon the electron pocket around the $\mathrm{X}=(\pi,0)$ and $\mathrm{Y}=(0,\pi)$point in the electronic nematic phase. We propose this as a possible origin forthe observed nematicity in resistivity measurements.

The form and the origin of the orbital ordering in the electronic nematic phase of the Iron-based superconductors