Mean-field calculation of some magnetic properties of Ising thin-films

In this work, the magnetic properties of Ising thin-films were investigated as a function of temperature and thickness by means of mean-field calculation. The magnetization and the magnetic susceptibility profiles, including layer variation, were investigated in detail. From the results, the magnetic behavior was found changing from a two-dimensional to a three-dimensional character with increasing the film thickness. In addition, the critical temperatures were calculated and a similar trend was found. The shift of the critical temperatures from a two-dimensional to a bulk value was in good agreement with previous theoretical prediction. This indicates the dimensional crossover of the magnetic critical behavior from thin-films to bulk limit when the films become thick.