First-principles investigations into the thermodynamics of cation disorder and its impact on electronic structure and magnetic properties of spinel $Coleft(Cr_{1-x}Mn_{x} right)_{2}O_{4}$

Recent experiments on Mn doped multiferroic $CoCr_{2}O_{4}$ indicate that a possible distribution of Mn atoms among tetrahedrally and octahedrally coordinated sites in the spinel lattice give rise to different variations in the structural parameters and saturation magnetisations in different concentration regimes of Mn atoms substituting the Cr. A composition dependent magnetic compensation behaviour points to the role