Abstract
Piezoresponse Force Microscopy (PFM) has become the most used technique for non-invasive mapping of ferroelectric domain patterns. For PFM imaging, no specific sample preparation is required: any clean and flat surface that can be imaged by scanning force microscopy can also be investigated by PFM. Despite its ease of use, PFM imaging allows to detect the domain distribution with high lateral resolution and an amazing sensitivity. As a consequence, the PFM mode has become a standard for commercial scanning force microscopes. PFM, however, still causes difficulties in terms of interpretation of the images obtained. The situation becomes even more delicate, when trying to obtain quantitative data based on PFM images.
In this chapter, we intend to provide a deeper insight into PFM imaging and thereby permit a more reliable interpretation of PFM images. For this purpose we point to a couple of difficulties that one may encounter in PFM imaging, possibly leading to aha moments of the reader about having seen such PFM images without having been able to make sense of it, and propose solutions to the most common challenges, such as calibration to name the most prominent one.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.M. Fejer, G.A. Magel, D.H. Jundt, R.L. Byer, Quasi-phase-matched 2nd harmonic-generation—tuning and tolerances. IEEE J. Quantum Electron. 28, 2631–2654 (1992)
L.E. Myers, R.C. Eckardt, M.M. Fejer, R.L. Byer, Quasi-phase-matched optical parametric oscillators in bulk periodically poled LiNbO3. J. Opt. Soc. Am. B 12, 2102–2116 (1995)
H. Ishiwara, M. Okuyama, Y. Arimoto, Ferroelectric Random Access Memories: Fundamentals and Applications, vol. 93 (Springer, Berlin, 2004)
E. Soergel, Visualization of ferroelectric domains in bulk single crystals. Appl. Phys. B 81, 729–752 (2005)
E. Soergel, Piezoresponse force microscopy (PFM). J. Phys. D, Appl. Phys. 44, 464003 (2011)
R.E. Newnham, Properties of Materials: Anisotropy, Symmetry, Structure (Oxford University Press, London, 2005)
J. Erhart, Domain wall orientations in ferroelastics and ferroelectrics. Phase Transit. 77, 989–1074 (2004)
M.E. Lines, A.M. Glass, Principles and Applications of Ferroelectrics and Related Materials (Oxford University Press, New York, 2001)
B.A. Strukov, A.P. Levanyuk, Ferroelectric Phenomena in Crystals (Springer, Berlin, 1998)
J.A. Gonzalo, B. Jiménez (eds.), Ferroelectricity: The Fundamentals Collection (Wiley-VCH, Weinheim, 2005)
R.S. Weis, T.K. Gaylord, Lithium niobate: summary of physical properties and crystal structure. Appl. Phys. A 37, 191–203 (1985)
J.C. Brice, Crystal Growth Processes (Halsted, New York, 1986)
J.F. Nye, Physical Properties of Crystals (Oxford University Press, London, 1985)
V. Gopalan, T.E. Mitchell, Y. Furukawa, K. Kitamura, The role of nonstoichiometry in 180∘ domain switching of LiNbO3 crystals. Appl. Phys. Lett. 72, 1981–1983 (1998)
M.C. Wengler, B. Fassbender, E. Soergel, K. Buse, Impact of ultraviolet light on coercive field, poling dynamics and poling quality of various lithium niobate crystals from different sources. J. Appl. Phys. 96, 2816–2820 (2004)
K.K. Wong, Properties of Lithium Niobate (INSPEC, London, 2002)
D. Sarid, Scanning Force Microscopy (Oxford University Press, London, 1994)
F. Johann, Á. Hoffmann, E. Soergel, Impact of electrostatic forces in contact-mode scanning force microscopy. Phys. Rev. B 81, 094109 (2010)
E. Soergel, W. Krieger, V.I. Vlad, Charge distribution on photorefractive crystals observed with an atomic force microscope. Appl. Phys. A 66, S337–S340 (1998)
M. Lilienblum, Á. Hoffmann, E. Soergel, P. Becker, L. Bohatý, M. Fiebig, Piezoresponse force microscopy at sub-room temperatures. Rev. Sci. Instrum. 84, 043703 (2013). doi:10.1063/1.4801464 (5 pages)
Á. Hoffmann, T. Jungk, E. Soergel, Crosstalk correction in atomic force microscopy. Rev. Sci. Instrum. 78, 016101 (2007)
M. Reinstaedtler, U. Rabe, V. Scherer, J.A. Turner, W. Arnold, Imaging of flexural and torsional resonance modes of atomic force microscopy cantilevers using optical interferometry. Surf. Sci. 532–535, 1152–1158 (2003)
J.A. Christman, R.R. Woolcott Jr., A.I. Kingon, R.J. Nemanich, Piezoelectric measurements with atomic force microscopy. Appl. Phys. Lett. 73, 3851–3853 (1998)
T. Jungk, Á. Hoffmann, E. Soergel, Challenges for the determination of piezoelectric constants with piezoresponse force microscopy. Appl. Phys. Lett. 91, 253511 (2007)
T. Jungk, Untersuchung der Abbildungsmechanismen ferroelektrischer Domänen mit dem Rasterkraftmikroskop. PhD Thesis, University of Bonn, 2006
M. Labardi, V. Likodimos, M. Allegrini, Force-microscopy contrast mechanisms in ferroelectric domain imaging. Phys. Rev. B 61, 14390–14398 (2000)
A. Agronin, M. Molotskii, Y. Rosenwaks, E. Strassburg, A. Boag, S. Mutchnik, G. Rosenman, Nanoscale piezoelectric coefficient measurements in ionic conducting ferroelectrics. J. Appl. Phys. 97, 084312 (2005)
J.W. Hong, K.H. Noh, S. Park, S.I. Kwun, Z.G. Khim, Surface charge density and evolution of domain structure in triglycine sulfate determined by electrostatic-force microscopy. Phys. Rev. B 58, 5078–5084 (1998)
M. Shvebelman, P. Urenski, R. Shikler, G. Rosenman, Y. Rosenwaks, M. Molotskii, Scanning probe microscopy of well-defined periodically poled ferroelectric domain structure. Appl. Phys. Lett. 80, 1806–1808 (2002)
K. Takata, Comment on “Domain structure and polarization reversal in ferroelectrics studied by atomic force microscopy” [J. Vac. Sci. Technol. B 13, 1095, 1995]. J. Vac. Sci. Technol. B 14, 3393–3394 (1996)
H. Ogi, Y. Kawasaki, M. Hirao, H. Ledbetter, Acoustic spectroscopy of lithium niobate: elastic and piezoelectric coefficients. J. Appl. Phys. 92, 2451–2456 (2002)
O. Kolosov, A. Gruverman, J. Hatano, K. Takahashi, H. Tokumoto, Nanoscale visualization and control of ferroelectric domains by atomic force microscopy. Phys. Rev. Lett. 74, 4309–4312 (1995)
M. Labardi, V. Likodimos, M. Allegrini, Resonance modes of voltage-modulated scanning force microscopy. Appl. Phys. A 72, S79–S85 (2001)
S. Hong, H. Shin, J. Woo, K. No, Effect of cantilever-sample interaction on piezoelectric force microscopy. Appl. Phys. Lett. 80, 1453–1455 (2002)
C. Harnagea, M. Alexe, D. Hesse, A. Pignolet, Contact resonances in voltage-modulated force microscopy. Appl. Phys. Lett. 83, 338–340 (2003)
C.H. Xu, C.H. Woo, S.Q. Shi, Y. Wang, Effects of frequencies of AC modulation voltage on piezoelectric-induced images using atomic force microscopy. Mater. Charact. 52, 319–322 (2004)
S.V. Kalinin, D.A. Bonnell, Imaging mechanism of piezoresponse force microscopy of ferroelectric surfaces. Phys. Rev. B 65, 125408 (2002)
L.M. Eng, H.-J. Güntherodt, G. Rosenman, A. Skliar, M. Oron, M. Katz, D. Eger, Nondestructive imaging and characterization of ferroelectric domains in periodically poled crystals. J. Appl. Phys. 83, 5973–5977 (1998)
T. Jungk, Á. Hoffmann, E. Soergel, Quantitative analysis of ferroelectric domain imaging with piezoresponse force microscopy. Appl. Phys. Lett. 89, 163507 (2006)
T. Jungk, Á. Hoffmann, E. Soergel, Consequences of the background in piezoresponse force microscopy on the imaging of ferroelectric domain structures. J. Microsc. 227, 72–78 (2007)
W. Heywang, H. Thomann, Tailoring of piezoelectric ceramics. Annu. Rev. Mater. Sci. 14, 27–47 (1984)
T. Jungk, Á. Hoffmann, E. Soergel, Influence of the inhomogeneous field at the tip on quantitative piezoresponse force microscopy. Appl. Phys. A 86, 353–355 (2007)
G. Rosenman, A. Skliar, M. Oron, M. Katz, Polarization reversal in KTiOPO4 crystals. J. Phys. D 30, 277–282 (1997)
J. Padilla, W. Zhong, D. Vanderbilt, First-principles investigation of 180∘ domain walls in BaTiO3. Phys. Rev. B 53, R5969–R5973 (1996)
T. Jungk, Á. Hoffmann, E. Soergel, Impact of the tip radius on the lateral resolution in piezoresponse force microscopy. New J. Phys. 10, 013019 (2008)
F. Johann, Y.J. Ying, T. Jungk, Á. Hoffmann, C.L. Sones, R.W. Eason, S. Mailis, E. Soergel, Depth resolution of piezoresponse force microscopy. Appl. Phys. Lett. 94, 172904 (2009)
T. Jungk, Á. Hoffmann, E. Soergel, Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy. New J. Phys. 11, 033029 (2009)
D.A. Scrymgeour, V. Gopalan, Nanoscale piezoelectric response across a single antiparallel ferroelectric domain wall. Phys. Rev. B 72, 024103 (2005)
J. Wittborn, C. Canalias, K.V. Rao, R. Clemens, H. Karlsson, F. Laurell, Nanoscale imaging of domains and domain walls in periodically poled ferroelectrics using atomic force microscopy. Appl. Phys. Lett. 80, 1622–1624 (2002)
T. Jungk, Á. Hoffmann, E. Soergel, Detection mechanism for ferroelectric domain boundaries with lateral force microscopy. Appl. Phys. Lett. 89, 042901 (2006)
V. Likodimos, M. Labardi, M. Allegrini, N. Garcia, V.V. Osipov, Surface charge compensation and ferroelectric domain structure of triglycine sulfate revealed by voltage-modulated scanning force microscopy. Surf. Sci. 490, 76–84 (2001)
S.V. Kalinin, D.A. Bonnell, Local potential and polarization screening on ferroelectric surfaces. Phys. Rev. B 63, 125411 (2001)
F. Johann, T. Jungk, M. Lilienblum, Á. Hoffmann, E. Soergel, Lateral signals in piezoresponse force microscopy at domain boundaries of ferroelectric crystals. Appl. Phys. Lett. 97, 102902 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jungk, T., Hoffmann, Á., Soergel, E. (2014). New Insights into Ferroelectric Domain Imaging with Piezoresponse Force Microscopy. In: Ferraro, P., Grilli, S., De Natale, P. (eds) Ferroelectric Crystals for Photonic Applications. Springer Series in Materials Science, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41086-4_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-41086-4_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41085-7
Online ISBN: 978-3-642-41086-4
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)