Scaling behavior of an antiferroelectric hysteresis loop

A double hysteresis loop of an antiferroelectric betaine phosphate-arsenate mixed crystal (BP_0.9A_0.1) was studied as a function of applied frequency Ω and field amplitude E₀. A scaling analysis of the antiferroelectric hysteresis loop was given to show A_H∝(E₀-E_c)^0.50Ω^0.40, where A_H represents the area of the hysteresis loops and E_c a threshold field for observing the hysteresis curves. The scaling exponents are found to be close to the reported theoretical results of the two-dimensional ferromagnetic Ising models. We have also found a different scaling behavior for the antiferroelectric minor loops as A_m∝(E₀-E_c)^2.12Ω^0.28, where A_m represents the area of the minor loops.