Supplementary information for Non-Ergodic-Induced Negative Differential Piezoresponse in Relaxor Ferroelectrics

Phase diagram of PMN-xPT system correlated with dielectric measurements (Figure S1). Amplitude PFM images corresponding to phases shown in Figure 2 (a-c) (Figure S2). Native domain distribution of figure 2(a) (Figure S3). Local hysteretic behavior in pre-poled (Figure S4) and unpoled PMN-PT (Figure S6) as a function of temperature. Piezoresponse force microscopy images showing the partial local depoling process following gradual heating to high temperature in pre-poled area (Figure S5). Morphology of the unpoled region before and after hysteretic loops (Figure S7). Coercive bias as a function of temperature for pre-poled and native (unpoled) PMN-PT (Figure S8).