Application of the Trotter-Suzuki formalism to the transverse ferromagnetic Ising system on a graphene layer

The Monte Carlo simulation combined to the Trotter-Suzuki formalism has been employed to study a transverse ferromagnetic Ising system on a graphene layer. The effect of the transverse field Ω, the longitudinal magnetic field h and the next-nearest neighbors couplings J2 on the magnetic properties, the blocking temperature TB, the blocking transverse field ΩB and the hysteresis behaviors have been studied.