Magnetic properties of bilayer graphene: a Monte Carlo study

The lattice structure of bilayer graphene atoms within the same layer is studied by Monte Carlo simulations. The ground-state phase diagrams of mixed spin-2 and spin-3/2 with Ising model on a bilayer graphene are investigated using the Monte Carlo simulations. The reduced transition temperatures for the plane and interplane exchange interactions and for different crystal fields have been obtained. The total magnetization and magnetic susceptibility with the crystal field have been established for different plane exchange interactions. We have also given the magnetic hysteresis cycle for different plane exchange interactions, different temperatures, and with different crystal fields in bilayer graphene. Finally, the system exhibits the superparamagnetic phase at the reduced transition temperature and for a fixed crystal field.