2004/08/10 by Sergei V. Kalinin, E. Karapetian, Edgar Karapetian +1 · 1 citation
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Acoustic Wave Resonator Technologies #Adhesion, Friction, and Surface Interactions #Atomic force acoustic microscopy #Atomic force microscopy #Chemistry #Classical mechanics #Composite material #Condensed matter physics #Electric field #Electrostatic force microscope #Electrostatics #Ferroelectricity #Field (mathematics) #Force Microscopy Techniques and Applications #Indentation #Magnetic field #Magnetic force microscope #Materials science #Mathematics #Mechanics #Nanotechnology #Optoelectronics #Physics #Piezoelectricity #Piezoresponse force microscopy #Point particle #Polarization (electrochemistry) #Quantum mechanics #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.70.184101
81 pages, 19 figures, to be published in Phys. Rev. B
arxiv created 2004/08/10 · openalex publication_date 2004/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
To achieve quantitative interpretation of piezoresponse force microscopy (PFM), including resolution limits, tip bias- and strain-induced phenomena and spectroscopy, analytical representations for tip-induced electroelastic fields inside the material are derived for the cases of weak and strong indentation. In the weak indentation case, electrostatic field distribution is calculated using an image charge model. In the strong indentation case, the solution of the coupled electroelastic problem for piezoelectric indentation is used to obtain the electric field and strain distribution in the ferroelectric material. This establishes a complete continuum mechanics description of the PFM contact mechanics and imaging mechanism. The electroelastic field distribution allows signal generation volume in PFM to be determined. These rigorous solutions are compared with the electrostatic point-charge and sphere-plane models, and the applicability limits for asymptotic point-charge and point-force models are established. The implications of these results for ferroelectric polarization switching processes are analyzed.