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We studied the electrical transport, Hall effect, and magnetic properties ofmonoclinic layered ferromagnet Cr$_{2.76}$Te$_4$. Our studies demonstrateCr$_{2.76}$Te$_4$ to be a soft ferromagnet with strong magnetocrystallineanisotropy. Below 50 K, the system shows an antiferromagnetic-like transition.Interestingly, between 50 and 150 K, we observe fluctuating magnetic momentsbetween in-plane and out-of-plane orientations, leading to non-coplanar spinstructure. On the other hand, the electrical resistivity data suggest it to bemetallic throughout the measured temperature range, except a $kink$ at around50 K due to AFM ordering. The Rhodes-Wohlfarth ratio$\frac{\mu_{eff}}{\mu_{s}}=1.89 (>1)$ calculated from our magnetic studiesconfirms that Cr$_{2.76}$Te$_4$ is an itinerant ferromagnet. Large anomalousHall effect has been observed due to the skew-scattering of impurities and thetopological Hall effect has been observed due to non-coplanar spin-structure inthe presence of strong magnetocrystalline anisotropy. We examined the mechanismof anomalous Hall effect by employing the first principles calculations.

Investigation of the Anomalous and Topological Hall Effects in Layered Monoclinic Ferromagnet Cr$_{2.76}$Te$_4$