Kelvin Probe Force Microscopy and Electrostatic Force Microscopy responses to the polarization in a ferroelectric thin film: theoretical and experimental investigations
Abstract
electrostatic force microscopy (EFM)) to provide quantitative information about the remnant
polarization in a ferroelectric thin film is theoretically and experimentally investigated. The
theoretical relationship between the microscopic signal and the polarization in the film is
established: it is linear in the KPFM mode and parabolic in the EFM mode. The KPFM and EFM
signals are predicted tip-shape, tip-surface distance, and poled area dimensions dependent so that
an absolute value of the polarization cannot be extracted. Nevertheless provided these parameters
are held constant, KPFM theoretically enables to investigate quantitatively the polarization
dependence on any parameter relative to the film preparation conditions or to the poling process. It
does not enable to investigate its dependence on poled area geometry. Based on these conclusions,
experimental KPFM investigations have been carried out on a ferroelectric strontium barium
niobate (SrxBa1xNb2O6, SBN:100x) epitaxial thin film deposited on a platinum covered MgO
substrate. Poled areas are created in the film by moving the biased tip in contact with the surface.
KPFM images are dominated by the written polarization and not by injected or attracted extrinsic
charges. The experimental decay of the KPFM signal with increasing tip-surface distance confirms
the contribution of the volume of the lever/tip to the KPFM response. The spontaneous evolution
of the written polarization as well as the polarization dependence on poling voltage and poling
duration are investigated using KPFM, with the poled area dimensions as a parameter. For
comparison, the macroscopic remnant polarization in the SBN film has been measured versus
poling field from hysteresis cycles drawn using a macroscopic Pt dot as top contact. The significant
difference observed between macroscopic and microscopic results can be accounted for by using a
simple model of the inhomogeneous electric field generated by a poling tip. KPFM measurements
do not alter the initial polarization of the film and can provide essential qualitative and quantitative
information on the polarization in a ferroelectric thin film.VC 2013 AIP Publishing LLC.
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