Universality aspects of layering transitions in ferromagnetic Blume-Capel thin films

Critical phenomena and universality behavior of ferromagnetic thin films described by a spin-1 Blume-Capel Hamiltonian has been examined for various thickness values ranging from 3 to 40 layers. Using effective field theory, we have found that crystal field interactions significantly affects the critical value of surface to bulk ratio of exchange interactions Rc at which the critical temperature becomes independent of film thickness L. Moreover, we have extracted the shift exponent λ from computed data. Based on the results, we have shown that in the presence of surface exchange enhancement, the system may exhibit a dimensional crossover. We have also found that presence of crystal field interactions does not affect the value of λ. Hence, a ferromagnetic spin-1/2 thin film is in the same universality class with its spin-1 counterpart.