“…On the other hand, PFM is based on inverse piezoelectric effect and thereby detects the piezoelectric deformation of the sample in response to an external electric field applied between the tip and sample, thus a concomitant electrostatic force will be always involved in the final PFM signal, causing large ambiguity to the interpretation of the measurement (8,12,15,19,20,44,45). Due to the great importance, a large amount of research work has been continuously implemented to eliminate or quantify the electrostatic force contribution in the PFM measurements (3,8,12,15,20,22,(46)(47)(48)(49)(50)(51)(52)(53)(54)(55)(56)(57), but nearly all of the proposed solutions, including using stiff cantilever, applying DC compensation voltage, imaging in liquid environment, using higher eigenmode and interferometric detection as well as off-line analysis strategies, are subject to many specific limitations (12,48,51,(54)(55)(56)(57)(58)(59)(60).…”