We studied the electrical transport, Hall effect, and magnetic properties of monoclinic layered ferromagnet ${\mathrm{Cr}}_{2.76}{\mathrm{Te}}_4$. Our studies demonstrate ${\mathrm{Cr}}_{2.76}{\mathrm{Te}}_4$ to be a soft ferromagnet with strong magnetocrystalline anisotropy. Below 50 K, the system shows an antiferromagneticlike transition. Interestingly, between 50 and 150 K, we observe fluctuating magnetic moments between in-plane and out-of-plane orientations, leading to noncoplanar spin structure. On the other hand, the electrical resistivity data suggest it to be metallic throughout the measured temperature range, except a $kink$ at around 50 K due to antiferromagnetic ordering. The Rhodes-Wohlfarth ratio $\frac{{\mu }_{\mathrm{eff}}}{{\mu }_s}=1.89(>1)$ calculated from our magnetic studies confirms that ${\mathrm{Cr}}_{2.76}{\mathrm{Te}}_4$ is an itinerant ferromagnet. Large anomalous Hall effect has been observed due to the skew scattering of impurities and the topological Hall effect has been observed due to noncoplanar spin structure in the presence of strong magnetocrystalline anisotropy. We examined the mechanism of anomalous Hall effect by employing the first-principles calculations.

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• Density of states
• Electronic structure
• First-principles calculations
• Magnetic anisotropy
• Magnetism
• Magnetotransport
• Quantum anomalous Hall effect
• Topological Hall effect
• Magnetic systems
• Topological materials
• Crystal structures
• Density functional theory
• Electrical techniques
• Magnetic techniques
• X-ray diffraction