Half-metallic ferromagnetism (HMFM) occurs rarely in materials and yet offers great potential for spintronic devices. Recent experiments suggest a class of compounds with the 'ThCr2Si2' (122) structure -isostructural and containing elements common with Fe pnictide-based superconductors -can exhibit HMFM. Here we use ab initio density-functional theory calculations to understand the onset of half-metallicity in this family of materials and explain the appearance of ferromagnetism at a quantum critical point. We also predict new candidate materials with HMFM and high Curie temperatures through A-site alloying.For the past two decades, the field of spintronics has aimed to augment standard charge-based technologies by harnessing phenomena associated with the spin degree of freedom [1,2]. The most promising and sought-after spintronic property is half-metallic ferromagnetism owing to its strong potential for applications such as spinfilters [3,4]. The promise of materials with HMFM is associated with their unusual electronic structure -they are metallic in one spin channel but insulating in the other -resulting in total spin polarization at the Fermi level.Although HMFM has been proposed in oxides[5], sulfides[6], Heuslers[4] and graphene [7], it is extremely rare. (Ga, Mn)As remains the most-studied system with HMFM, given its potential ease of incorporation into existing semiconductor technologies and the significant capabilities for epitaxy (and therefore tunability) of III-V semiconductors [8,9]. Both spin and charge are introduced into GaAs by substituting trivalent Ga 3+ with divalent magnetic ions, Mn 2+ , providing ferromagneticallycoupled spin carriers. However its use in devices has been hampered by the low solubility of Mn in GaAs, limiting its transport and magnetic properties, and resulting in Curie temperatures below room temperature.Recently, evidence of half-metallic ferromagnetism was found in Ba 0.4 Rb 0.6 Mn 2 As 2 with a Curie temperature, T C , of 103 K[10], Ba 0.6 K 0.4 Mn 2 As 2 with a T C of 100 K[11], and (Ba 1−x K x )(Zn 1−y Mn y ) 2 As 2 with a T C of 180 K [12]. These form in a tetragonal 'ThCr 2 Si 2 ' (122) structure, which is isostructural with the high-temperature phase of the (122) Fe-pnictide-based superconductors [13,14]. Varying the transition-metal ion in these 122 pnictide structures leads to a highly-divergent set of phenomena: high-T C superconductivity in Fe-based materials [15], antiferromagnetic semiconducting behavior in Mn-based compounds [16,17], and non-Fermi-liquid behaviour in YbRh 2 Sr 2 [18]. The potential coexistence of half-metallic ferromagnetism and superconductivity may enhance the existing properties of both phenomena, and result in new states of matter [19]. Such coexistence in (Fe, Ga)As-based materials has been consid- The I4/mmm crystal structure with intralayer AsAs dimer. The calculated spin-polarized density of states for stoichiometric BaMn2As2 with ferromagnetic ordering. The Mn-3d and As-4p orbitals are projected and depicted in purple and green resp...