The Piezoresponse Force Microscopy of surface layers and thin films: effective response and resolution function

Abstract

Signal formation mechanism of Piezoresponse Force Microscopy of piezoelectric surface layers and thin films on stiff and elastically matched substrates is analyzed and thickness dependence of effective piezoelectric response, object transfer function components and Rayleigh two-point resolution are derived. Obtained exact series and simple Pade approximations can be applied for the effective piezoresponse analytical calculations in the case of films capped on different substrates. The effective piezoresponse is thickness dependent for piezoelectric films on substrates with low dielectric permittivity (extrinsic size effect), whereas the thickness dependence is essentially suppressed for giant permittivity or metallic substrates. Thus implications of analysis for ferroelectric data storage and device applications are discussed.

54 pages, 10 figures, 2 appendices, to be submitted to J. Appl. Phys

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• Nanoscale Electromechanics of Paraelectric Materials with Mobile Charges: Size effects and Nonlinearity of Electromechanical Response of SrTiO3 Films
• Pressure induced switching in ferroelectrics: on the junction between physics and electrochemistry
• Electrostrictive and electrostatic responses in contact mode voltage modulated Scanning Probe Microscopies
• Disentangling stress and curvature effects in layered 2D ferroelectric CuInP2S6
• Local Polarization Switching in the Presence of Surface Charged Defects: Microscopic Mechanisms and Piezoresponse Force Spectroscopy Observations
• Landau-Ginzburg-Devonshire theory for electromechanical hysteresis loop formation in piezoresponse force microscopy of thin films
• Effect of the Intrinsic Width on the Piezoelectric Force Microscopy of a Single Ferroelectric Domain Wall
• Self-consistent theory of nanodomain formation on non-polar surfaces of ferroelectrics
• Probing phonon softening in ferroelectrics by the scanning probe microwave spectroscopy
• Tip-Based Proximity Ferroelectric Switching and Piezoelectric Response in Wurtzite Multilayers
• Nanoscale electrical measurements in liquids using AFM - progress and outlook