Half-metallic antiferromagnets in thiospinels

We have theoretically designed the half-metallic (HM) antiferromagnets (AFM’s) in thiospinel systems, $\mathrm{Mn}\left(\mathrm{CrV}\right){\mathrm{S}}_4$ and ${\mathrm{Fe}}_{0.5}{\mathrm{Cu}}_{0.5}\left({\mathrm{V}}_{0.5}{\mathrm{Ti}}_{1.5}\right){\mathrm{S}}_4,$ based on the electronic structure studies in the local spin-density approximation. We have also explored electronic and magnetic properties of parent spinel compounds of the above systems; ${\mathrm{CuV}}_2{\mathrm{S}}_4$ and ${\mathrm{CuTi}}_2{\mathrm{S}}_4$ are found to be HM ferromagnets in their cubic spinel structures, while ${\mathrm{MnCr}}_2{\mathrm{S}}_4$ is a ferrimagnetic insulator. We have discussed the feasibility of material synthesis of HM-AFM thiospinel systems.