Using Monte Carlo simulations, we investigate the phase diagrams and magnetic compensation behavior of a ferrimagnetic Blume-Capel nanowire with a core–shell structure and mixed spins ( \(s=1\) , \(\sigma =3/2\) ). The model is characterized by three exchange coupling constants ( \({J}_{c}\) , \({J}_{s}\) , \({J}_{cs}\) ) and an average crystal field \(D\) . Exact ground-state calculations at zero temperature reveal a rich variety of phases, including a ferromagnetic phase under specific conditions. The analysis of local magnetic properties highlights a compensation phenomenon, which is of paramount importance for technological applications such as thermo-optical recording. In particular, the compensation temperature is influenced by both the crystal field and the exchange coupling constants. Additionally, the study of the hysteresis cycle reveals the presence of multiple loops, whose structure depends on these parameters, thus illustrating a distinctive multi-loop hysteresis behavior.
