Mean-Field and Monte Carlo calculations of phase transitions in a core–shell Ising nanotube

A cylindrical Ising nanotube that consists of 3/2 core spins surrounded by 5/2 shell spins is introduced and studied with Mean-Field approximation and Monte Carlo simulations in the presence of crystal and external magnetic fields. The effects of positive and negative interfacial coupling constants on the magnetic properties have been examined. The thermal behaviors of the order parameters and different types of macroscopic instabilities are presented. The model exhibits compensation points, first- and second-order phase transitions. Richer magnetic properties are obtained in the antiferromagnetic core–shell coupling case. In the presence of ferromagnetic interfacial coupling, the simulations sometimes generated long-lived metastable states. These states jumped to stable thermodynamic ones under thermal fluctuations via first-order phase transitions. •Magnetic properties study of Ising nanotube with external magnetic field.•Mean-Field theory and Monte Carlo simulation methods used.•First- and second-order phase transitions specified in several phase diagrams.•Existence of compensation temperatures for appropriate values of model parameters.•Existence of magnetic hysteresis behaviors with multiple hysteresis cycles.