Scaling of dynamic hysteresis in ferroelectric spin systems

We present a systematic study of dynamic hysteresis in ferroelectric spin systems by Monte Carlo simulation based on the ferroelectric DIFFOUR model, Sawyer-Tower hysteresis measurement of YBa2Cu3O7(YBCO)PbTi0.48 Zr0.52O3 (PZT)/YBCO thin film capacitors and the phenomenological approach to the (phi (2))(2)-model system. The hysteresis area A as a function of frequency f of the external field E is single-peaked, due to the full spin relaxation at low f and suppressing effect at high f for the domain switching. It is revealed from the simulation that the hysteresis area A can be scaled with a dynamic scaling function A(f)/A(m) = F(x), which is symmetric to x = 0, where x = log(f/f(m)) with f = f(m) the position of the peak A(m) = A(f(m)). The scaling gets support from the experiment and is consistent with the prediction of the (phi (2))(2)-model.