Testing the generalized conjugate field formalism in the kinetic Ising model with nonantisymmetric magnetic fields: A Monte Carlo simulation study

Abstract

We perform Monte Carlo simulations for the investigation of dynamic phase transitions (DPT) on a honeycomb lattice which has garnered a significant amount of interest from the viewpoint of tailoring the intrinsic magnetism in two-dimensional materials. For the system under the influence of time-dependent magnetic field sequences exhibiting the half-wave anti-symmetry, we have located a second order dynamic phase transition between dynamic ferromagnetic and dynamic paramagnetic states. Particular emphasis was devoted to the examination of the generalized conjugate field formalism previously introduced in the kinetic Ising model [1], [2]. Based on the simulation data, in the presence of a second magnetic field component with amplitude $H_2$ and period $P/2$, the half-wave anti-symmetry is broken and the generalized conjugate field formalism is found to be valid for the present system. However, dynamic phase transitions disappear with the manifestation of a dynamically field polarized state for non-vanishing $H_2$ values.