Dynamic phase transition and universality in a quasi 2D system: Bilayer Ising/Blume-Capel ferromagnet on a honeycomb lattice

Abstract

Monte Carlo simulation technique is applied on a magnetic bilayer system composed of spin-1/2 Ising and spin-1 Blume-Capel spin variables distributed on a honeycomb lattice. Assuming an indirect exchange interaction between adjacent monolayers, we investigate the influence of single ion anisotropy and number of nonmagnetic layers between the magnetic sheets on the critical behavior of the system. Equilibrium phase diagram in a reduced pseudo critical temperature (Tc/J) versus reduced single ion anisotropy (DB/J) plane has been determined. In the presence of alternating magnetic field, dynamic phase transition properties have been elucidated. The form of the oscillating magnetic field is assumed to be in a square wave form. By performing a detailed finite-size scaling analysis, we have calculated the critical half period t1/2c at which the system undergoes a dynamic phase transition between dynamically ordered and disordered states. Extracted critical exponent ratios β/ν and γ/ν suggest that observed dynamic phase transition for the present multilayer system falls into the same universality class as the equilibrium two-dimensional Ising model.