Dynamic scaling function of polarization hysteresis in ferroelectric thin films

The scaling behavior of the polarization hysteresis dispersion in a mode spin-like system based on the three-dimensional (Φ2)2 model with O(N) symmetry in the limit N → ∞, upon applying of the time-varying electric field, is investigated. We perform a simple analysis on the dynamic relaxation of the polarization and propose a scaling function in order to describe the scalability of the hysteresis dispersions over a wide range of field magnitude. The applicability of this scaling function is demonstrated by a consistent fitting to the experimental data on several types of ferroelectric thin films.