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The 1144 iron arsenide (e.g. CaKFe4As4) has recently been discovered andinspired a tide of search for superconductors. Such far, the discoveredcompounds are confined to iron arsenides (ABFe4As4), where A and B are eitheralkali metals or alkaline earth elements. In this work, we propose twodirections in searching 1144 structures: (i) using tri-valence cations for A;(ii) substituting the transition metal, e.g. replacing Fe by Co. Following thetwo directions, we employ density functional theory to study stability andelectronic structures of 1144 pnictides of various tri-valence cations (La, Y,In, Tl, Sm and Gd), as well as cobalt arsenides. For LaAFe4As4, the 1144 phasecan be stabilized in three systems: LaKFe4As4, LaRbFe4As4 and LaCsFe4As4, whichshow quasi-two-dimensional semi-metal features similar to the iron pnictidesuperconductors: hole-type Fermi surface at Gama point and electron-type Fermisurface at M point in B.Z. In addition, LaKFe4As4 feature an extra bubbleshaped Fermi surface sheets, distinct from the other two peers. Y does notsupport any 1144 phase within our search. For In and Tl, substitute Fe by Coand two unknown compounds of the 122 phase are stabilized: InCo2As2 andTlCo2As2. The two cobalt arsenides have Fermi surfaces of similar topology asiron arsenides, but the Fermi surfaces are all electron-type, showingpotentials to be undiscovered superconductors. Stable 1144 phases are alsofound in InKCo4As4 and InRbCo4As4. For Sm and Gd, most 1144 and 122 ironarsenides are found unstable.

Whether it is possible to stabilize the 1144-phase pnictides with tri-valence cations?