Static and dynamic critical behavior of thin magnetic Ising films

•The thickness effect on static/dynamic critical behavior of Ising films was studied.•Films exhibit a dimensionality crossover from 2D to 3D behavior.•Shifts in the static critical exponents and critical temperature were observed.•Low values of the dynamic critical exponent of Wolff algorithm are computed.

This work presents a study of the effect of film thickness on the static and dynamic critical behavior of thin magnetic Ising films. Monte Carlo simulations using the Wolff algorithm were performed to determine the static and dynamic critical exponents of the films. A dimensionality crossover from 2D to 3D (due to the finiteness of the films) in the static and dynamic critical behavior was observed as the film thickness increases. In addition, a slight increase in the effective dimension deffdeff and a considerable increase in the critical temperature Tc(∞)Tc(∞) were found. Small values for the dynamic critical exponents were obtained, indicating that the Wolff algorithm is a very efficient method for these magnetic systems.