Erratum: Domain walls of ferroelectric BaTiO3within the Ginzburg-Landau-Devonshire phenomenological model [Phys. Rev. B81, 144125 (2010)]

Abstract

There are two types of domain walls, O120 and R180{110}, for which the polarization profiles shown in Figs. 7 and 9(b) were not correctly calculated in the paper. 1 The polarization profiles were obtained numerically from constrained Euler-Lagrange equations. These equations can be written in the formwhere G rsrs , G rsts , and G tsts are components of the rotated gradient tensor. By mistake, G rsts terms were omitted in the paper. The correct profiles of polarization across the O120 and R180{110} domain walls, which do take into account the G rsts terms, are displayed here in Figs. 1 and 2. In all other domain walls considered in the paper, G rsts terms are zero for symmetry reasons. This Erratum does not affect any other result or the conclusion of the paper. FIG. 1. Trajectories of O120 (a) and R180{110} (b) domain walls superimposed with corresponding Euler-Lagrange energy surfaces. These two panels should replace the corresponding panels in the Fig. 7 of the paper. FIG. 2. Polarization profiles across the R180{110} domain wall, which should replace Fig. 9(b). 1 P. Marton, I. Rychetsky, and J. Hlinka, Phys. Rev. B 81, 144125 (2010). 139906-1

Polar nature of stress-induced twin walls in ferroelastic CaTiO3

“…In particular, recent theoretical works claim the possibility of Bloch-or Néel-type domain boundaries in addition to the traditional Ising type in the prototype ferroelectrics PbTiO 3 , LiNbO 3 , BaTiO 3 and PbZr 1-x Ti x O 3 . [35][36][37][38][39][40][41][42] Since the spatial resolution of our SHGM is much greater than the unit cell scale, it is difficult to quantitatively determine the boundary type only from the present experimental data. Nevertheless, from the viewpoint of the electrostatic energy, the Ising-type TWs are most preferable in ferroelastics because the adjacent domains are nonpolar.…”

Identification of defect distribution at ferroelectric domain walls from evolution of nonlinear dielectric response during the aging process

“…In addition, we have developed a refinement of this simple method, which is applicable for the analysis of nonlinear dielectric data measured in the intermediate stages of the aging process and in systems with small extrinsic contributions compared to intrinsic ones [see Eq. (32), (35) and (36)]. …”

“…The values of lattice permittivity ε c were calculated from the simulations of aging using Eqs. (35) and (36b). It is seen that the values of ε c calculated from aging simulations are in the good agreement with values computed using Eqs.…”

“…(31)], the numerically computed values of the parameter A have been fitted to the function given by Eq. (35). Result of this fitting procedure are presented in Tab.…”

Domain annihilation due to temperature and thickness gradients in single-crystal BaTiO3

“…are the temperature-dependent values of, respectively, domain wall energy density (taken from calculated values of Marton et al 43 ), Young's modulus (values derived from Dong et al 44 ), and the spontaneous strain (data taken from Megaw 45 ). Using this model, along with temperature-dependent data from literature, we have plotted the expected fractional change in domain width from that at room temperature ( w/w 0 ) as a function of the temperature [expressed as a fraction of the Curie temperature (T /T c )] in Fig.…”