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Employing first principles density functional calculations, together withsolution of the low-energy, model Hamiltonian constructed in a first principlesmanner, we explored the origin of magnetism and $T_c$ trend in Cr-based doubleperovskite series, Sr$_2$CrB$'$O$_6$ (B$'$=W/Re/Os). Our study shows that theapparently puzzling $T_c$ trend in Sr$_2$CrB$'$O$_6$ (B$'$=W/Re/Os) series canbe understood in terms of the interplay of the hybridization driven mechanismand the super-exchange mechanism.

Origin of Magnetism and trend in $T_{c}$ in Cr-based double perovskites: Interplay of two driving mechanisms