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In this paper we attempt to understand the role of tin and carbon in magneticinteractions in Mn$_3$SnC. Mn$_3$SnC exhibits a time dependent magneticconfiguration and a complex magnetic ground state with both ferromagnetic andantiferromagnetic orders. Such a magnetic state is attributed to presence ofdistorted Mn$_6$C octahedra with long and short Mn--Mn bonds. Our studies showthat C deficiency increases the tensile strain on the Mn$_6$C octahedra whichelongates Mn--Mn bonds and strengthens ferromagnetic interactions while Sndeficiency tends to ease out the strain resulting in shorter as well as longerMn--Mn bond distances in comparison with stoichiometric Mn$_3$SnC. Such avariation strengthens both, ferromagnetic and antiferromagnetic interactions.Thus the structural strain caused by both Sn and C is responsible for complexmagnetic ground state of Mn$_3$SnC.

Role of Tin and Carbon in the magnetic interactions in Mn$_3$SnC