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We have performed magneto-optical Kerr spectroscopy measurements onintercalated transition-metal dichalcogenide Fe$_{0.25}$TaS$_{2}$ in the polarKerr geometry as a function of temperature, magnetic field, and wavelength. TheKerr angle exhibits pronounced peaks at $\sim$775 nm (1.6 eV) and $\sim$515 nm(2.4 eV), which we attribute to spin-dependent interband optical transitionsarising from states in the vicinity of the Fermi energy. Below theferromagnetic transition temperature (165 K), we observe strongly wavelength-and magnetic-field-dependent Kerr signal. At a fixed wavelength, themagnetic-field dependence of the Kerr angle shows a clear hysteresis loop, butits shape sensitively changes with the wavelength. We propose a model thattakes into account contributions from domain walls, which allowed us to derivea mathematical expression that successfully fits all the observed hysteresisloops.

Anomalous magneto-optical Kerr hysteresis loops in Fe$_{0.25}$TaS$_{2}$