Screening and retardation effect on 180o-domain wall motion in ferroelectrics: wall velocity and non-linear dynamics due to polarization-screening charge interactions

The effect of the domain wall intrinsic width, relaxation time of the screening charges and the dead layer thickness on the velocity of the planar 180o-domain wall moving under homogeneous external electric field in ferroelectric capacitor is analyzed. The limiting cases of domain wall motion, including (i) the motion induced by the external and local internal field originated at the wall-surface junction for nonzero dead layer thickness; (ii) the motion induced by the effective electric field averaged over the domain wall surface are considered. We demonstrate the crossover between two screening regimes: the first one corresponds to the low domain wall velocity, when the wall drags the sluggish screening charges, while the second regime appears for high domain wall velocity, when the delay of sluggish screening charges are essential and the wall depolarization field is screened by the instant free charges located at the electrode.