Modeling of hybrid relaxor-ferroelectric Ba(Zr0.2Ti0.8)O3 ceramics

Abstract In this work, a model based on the existence of polarized nanoregions (PNRs) in a dielectric matrix is presented for a quantitative analysis of the hysteresis behavior in relaxor ferroelectrics. The PNRs are simulated by spheroids covered with a thin dielectric envelope. The electric field dependence of the polarization is described by the Landau-Ginzburg-Devonshire equation. The phase transition temperature of the individual spheroids appears to be strongly dependent on its orientation relatively to the external electric field. In addition, it depends on the aspect ratio of the spheroid and its size. The polarization in a relaxor ferroelectric was calculated by summation of the polarizations of individual spheroids. The final result is obtained by replacing the sum by a convolution integral of averaged angular dependence of polarization and the PNR size distribution. The obtained theoretical calculations are compared with experimental results.

[1]  I. Starkov,et al.  Hysteresis Phenomena in Relaxor Ferroelectrics: Consideration of Polar Nanoregions , 2018 .

[2]  Relaxor Ferroelectrics,et al.  Relaxor Ferroelectrics , 2018 .

[3]  G. Suchaneck,et al.  The impact of the P-E hysteresis on the performance of electrocaloric cooling , 2017 .

[4]  G. Suchaneck,et al.  Adapting BaTiO3-based relaxor ferroelectrics for electrocaloric application , 2017 .

[5]  Yunzhi Wang,et al.  Mechanisms Responsible for the Large Piezoelectricity at the Tetragonal-Orthorhombic Phase Boundary of (1-x)BaZr0.2Ti0.8O3-xBa0.7Ca0.3TiO3 System , 2016, Scientific Reports.

[6]  K. Albe,et al.  Determination of optimal reversed field with maximal electrocaloric cooling by a direct entropy analysis , 2016, 1608.03401.

[7]  Qiming Zhang,et al.  Anomalous negative electrocaloric effect in a relaxor/normal ferroelectric polymer blend with controlled nano- and meso-dipolar couplings , 2016 .

[8]  Brigitte Maier,et al.  Electrodynamics Of Continuous Media , 2016 .

[9]  Andrej Kitanovski,et al.  Present and future caloric refrigeration and heat-pump technologies , 2015 .

[10]  Qiming Zhang,et al.  Giant electrocaloric effect in BaZr0.2Ti0.8O3 thick film , 2014 .

[11]  S. Pruvost,et al.  Doubling the electrocaloric cooling of poled ferroelectric materials by bipolar cycling , 2014 .

[12]  I. Starkov,et al.  Asymptotic Description of the Time and Temperature Hysteresis in the Framework of Landau-Khalatnikov Equation , 2014 .

[13]  Qiming Zhang,et al.  Giant Electrocaloric Response Over A Broad Temperature Range in Modified BaTiO3 Ceramics , 2014 .

[14]  I. Starkov,et al.  Theoretical model for thin ferroelectric films and the multilayer structures based on them , 2013 .

[15]  S. Miga,et al.  Crossover from ferroelectric to relaxor and cluster glass in BaTi1−xZrxO3 (x = 0.25–0.35) studied by non-linear permittivity , 2013 .

[16]  S. Kojima,et al.  Role of dynamic polar nanoregions in heterovalent perovskite relaxor: Inelastic light scattering study of ferroelectric Ti rich Pb(Zn1/3Nb2/3)O3-PbTiO3 , 2012 .

[17]  O. Vendik,et al.  Effective permittivity of a nanostructured film consisting of elliptic ferroelectric grains , 2008 .

[18]  H. Chan,et al.  Diffuse phase transition and dielectric tunability of Ba(ZryTi1−y)O3 relaxor ferroelectric ceramics , 2004 .

[19]  H. Chan,et al.  Effects of grain size on the dielectric properties and tunabilities of sol–gel derived Ba(Zr0.2Ti0.8)O3 ceramics , 2004 .

[20]  V. Shvartsman,et al.  Domain structure of0.8Pb(Mg1/3Nb2/3)O3−0.2PbTiO3studied by piezoresponse force microscopy , 2004 .

[21]  V. Shvartsman,et al.  Domain structure of 0.8Pb(Mg1/3Nb2/3)O3-0.2PbTiO3 studied by piezoresponse force microscopy , 2004 .

[22]  U. Nowak,et al.  Dynamics of domains in diluted antiferromagnets , 1996, cond-mat/9604094.

[23]  A. Tagantsev,et al.  Relaxors as superparaelectrics with distributions of the local transition temperature , 1995 .

[24]  I.P. Kaminow,et al.  Principles and applications of ferroelectrics and related materials , 1978, Proceedings of the IEEE.

[25]  P. D. Thacher,et al.  Electrocaloric Effects in Some Ferroelectric and Antiferroelectric Pb(Zr, Ti)O3 Compounds , 1968 .

[26]  G. Wiseman,et al.  Electrocaloric Effect in Ferroelectric Rochelle Salt , 1963 .