The electronic structures of the uranium ternaries of the ${\text{U}}_{2}{\text{N}}_{2}Z$-type $(Z=\text{Sb},\text{Te},\text{Bi})$, crystallizing in the tetragonal $I4/mmm$ structure and having among uranium systems relatively high values of both their ferromagnetic (FM) transition temperatures and ordered magnetic moments (mms), have been investigated ab initio. They were calculated employing the local-spin density-functional theory with different versions of the orbital polarization correction (OPC) applied within the fully relativistic and full potential local-orbital band-structure code. The obtained results predict all these materials to be metallic both in the ferromagnetically ordered and nonmagnetically ordered (NMO) states. However, the bottoms of their conduction bands in the NMO states occur merely about 0.3 eV below the Fermi level, ${\text{E}}_{\text{F}}$, and a pronounced gap in ${\text{U}}_{2}{\text{N}}_{2}\text{Te}$ or pseudogaps in the two remaining compounds are opening just below these bands, which makes such a metallic state unstable. The considerable reduction in these gap or pseudogaps in the FM states cause a stabilization of a metallic behavior. A covalently metallic bonding character of these ternaries has been obtained in all calculations. It appeared that the only uranium atoms create predominantly metallic bonding due to a fairly strong hybridization between the U $5f$ and U $6d$ electrons. The U $5f$ electrons contributing also to the covalent bonding have somewhat dual character, i.e., partly localized and itinerant. Contrary to the Sb- and Bi-based ternaries ordered along the $c$ axis, as deduced from previous neutron powder diffraction studies, ${\text{U}}_{2}{\text{N}}_{2}\text{Te}$ has a canted FM structure with its mms tilted from the $c$ axis by about $70\ifmmode^\circ\else\textdegree\fi{}$. This fact has also been revealed by the present theoretical results. These data also point to the fact that the telluride, unlike the two other compounds, exhibits an almost half-metallic behavior. For all three ternaries, using the OPXC version of OPC the computed mms are in accord with the published experimental data. In turn, the Fermi surfaces of investigated ternaries have quasi-two-dimensional properties and quite unique nesting features along directions of their easy magnetization axes.
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