The emergence of ferro- and ferrimagnetic behavior in insulating materials is uncommon, largely due to Hund's rules. Utilizing symmetry analysis, first-principles methods, and classical Monte Carlo simulations, we report technologically important insulating ferro- and ferrimagnetic double-double perovskite oxides. Our study predicts ${\text{La}A}^{\prime }{\mathrm{MnNiO}}_6$ ($A^{\prime }=\mathrm{V}$, Cr, Mn, Co, and Ni) as promising candidates for spintronic and optical applications exhibiting band gaps between 1.3 and 1.9 eV. We explain the mechanisms driving band-gap openings and magnetic exchange interactions in these ferro- and ferrimagnetic compounds. Monte Carlo simulations together with state-of-the-art orbital-decomposed exchange parameter analysis reveal intriguing variations in magnetic transition temperatures (up to 242 K) and the corresponding exchange mechanisms in all ${\text{La}A}^{\prime }{\mathrm{MnNiO}}_6$ compounds. In addition, we assess the thermodynamic and dynamic stability of these compounds to comment on the feasibility of these systems.

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• Density of states
• Electronic structure
• Magnetic interactions
• Magnetic order
• Magnetism
• Magneto-optics
• Optoelectronics
• Spintronics