Hysteresis scaling relations in polycrystalline BaTiO 3 bulk ceramics

Abstract

The scaling behaviors of the dynamic ferroelectric hysteresis of polycrystalline BaTiO 3 bulk ceramics were investigated. To enhance the accuracy of prediction, not only sets of the scaling relation of hysteresis area 〈 A〉 against frequency f and field amplitude E 0 were established, but also were sets of scaling relation of remnant polarization ( P r ) and coercive field ( E C ) against frequency f and field amplitude E 0. All scaling relations of hysteresis parameters, 〈 A〉, P r , and E C , displayed obviously the inter-correlation between f- and E 0-exponents in both sub-coercive field and above coercive field conditions. By first approximation, the scaling relations took a form of A ∝ f − 0.39 E 0 1.06 , P r ∝ f − 0.18 E 0 0.47 , and E C ∝ f − 0.33 E 0 0.46 above the coercive field condition; whereas the scaling relations in the form of A ∝ f − 0.55 E 0 3.40 , P r ∝ f − 0.43 E 0 1.73 , and E C ∝ f − 0.27 E 0 1.35 were obtained under a sub-coercive field condition. The frequency observation range affected directly the scaling exponents. Over the same frequency range, the scaling relations obtained in this study are generally comparable to previously reported scaling behavior in BaTiO 3 single crystals, as well as in other polycrystalline bulk ceramics, suggesting that materials (both single and polycrystalline) with similar domain switching mechanisms should have comparable dynamic hysteresis and scaling behavior.