Monte Carlo Study of a Nano-hexagonal Structure: Wetting and Layering Transitions

In this work, we study the magnetic properties in a nano-hexagonal structure, based on a ferromagnetic Ising model. This system is formed by four hexagonal layers, with the mixed spin σ =1/2 in the inner and spin S =1 in the surface of our system. This latter is modeled by specific Hamiltonian containing different parameters which are the inner and external magnetic fields, the crystal magnetic field, and the exchange coupling interactions. In this study, we generated the ground state phase diagrams and then studied the magnetizations and the wetting phenomena at finite temperature. For this purpose, we used the Monte Carlo method. Moreover, we analyzed the wetting phenomena and the layering transitions appearing under the effect of different parameters of our Hamiltonian.