“…In polar metallic phase, as shown in phase II of Fig. 1, charge carriers can propagate freely in materials as soon as the global P and correspondingly the total electric field E is fully screened by δ c1 ~2% of carriers accumulating on the domain boundaries and surfaces 36,37 . On the other hand, the FE order having a spontaneously broken symmetry still exists up to δ c2 ~10% [12][13][14]16,18,20,23,24 , despite the absence of the global P. Naturally, with the screening of the beneficial E, ferroelectricity is expected to be weakened as widely found in current observations, for example, a decrease in phase transition temperatures (T c ) and coercive field (E c ) [12][13][14]32,38,39 , a remarkably reduced off-center FE distortions [12][13][14] , a softening of the soft mode phonon 39 and an emergence of the over-damped highly-anharmonic central mode 39,40 .…”