Title: Tensor factorization for elucidating mechanisms of piezoresponse relaxation via dynamic Piezoresponse Force Spectroscopy

Journal Article · · npj Computational Materials

Spatially resolved time and voltage-dependent polarization dynamics in PbTiO3 thin films is explored using dynamic piezoresponse force microscopy (D-PFM) in conjunction with interferometric displacement sensing. This approach gives rise to 4D data sets containing information on bias-dependent relaxation dynamics at each spatial location without long-range electrostatic artifacts. To interpret these data sets in the absence of defined physical models, we employ a non-negative tensor factorization method which clearly presents the data as a product of simple behaviors allowing for direct physics interpretation. Correspondingly, we perform phase-field modeling finding the existence of ‘hard’ and ‘soft’ domain wall edges. This approach can be extended to other multidimensional spectroscopies for which even exploratory data analysis leads to unsatisfactory results due to many components in the decomposition.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1649380
Journal Information:
npj Computational Materials, Journal Name: npj Computational Materials Journal Issue: 1 Vol. 6; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (69)

Direct Observation of Capacitor Switching Using Planar Electrodes journal August 2010
Nanoscale Origins of Nonlinear Behavior in Ferroic Thin Films journal August 2012
High-Strain Lead-free Antiferroelectric Electrostrictors journal August 2009
Giant Enhancement of Ferroelectric Retention in BiFeO 3 Mixed-Phase Boundary journal August 2014
Direct Imaging of the Relaxation of Individual Ferroelectric Interfaces in a Tensile-Strained Film journal March 2017
Positive matrix factorization: A non-negative factor model with optimal utilization of error estimates of data values journal June 1994
Fast Nonnegative Tensor Factorization with an Active-Set-Like Method book January 2012
Ferroelectric domain switching dynamics with combined 20 nm and 10 ns resolution journal October 2009
Modification and detection of domains on ferroelectric PZT films by scanning force microscopy journal January 1994
Independent component analysis, A new concept? journal April 1994
Principal component analysis journal August 1987
Applications of semi-implicit Fourier-spectral method to phase field equations journal February 1998
Least squares formulation of robust non-negative factor analysis journal May 1997
Resolving local dynamics of dual ions at the nanoscale in electrochemically active materials journal December 2019
Differentiating Ferroelectric and Nonferroelectric Electromechanical Effects with Scanning Probe Microscopy journal May 2015
Quantitative Electromechanical Atomic Force Microscopy journal July 2019
Tunneling Electroresistance Effect in Ferroelectric Tunnel Junctions at the Nanoscale journal October 2009
Exploring Local Electrostatic Effects with Scanning Probe Microscopy: Implications for Piezoresponse Force Microscopy and Triboelectricity journal October 2014
Slush-like polar structures in single-crystal relaxors journal June 2017
Electrical control of antiferromagnetic domains in multiferroic BiFeO3 films at room temperature journal September 2006
Local poling of ferroelectric polymers by scanning force microscopy journal August 1992
Measurement of hardness, surface potential, and charge distribution with dynamic contact mode electrostatic force microscope journal March 1999
Formation and observation of 50 nm polarized domains in PbZr 1− x Ti x O 3 thin film using scanning probe microscope journal April 1996
Role of 90° domains in lead zirconate titanate thin films journal July 2000
Differentiating 180° and 90° switching of ferroelectric domains with three-dimensional piezoresponse force microscopy journal November 2000
Temperature dependence of polarization and charge dynamics on the BaTiO3(100) surface by scanning probe microscopy journal February 2001
Direct hysteresis measurements of single nanosized ferroelectric capacitors contacted with an atomic force microscope journal November 2001
Effect of cantilever–sample interaction on piezoelectric force microscopy journal February 2002
Effect of domain structure on thermal stability of nanoscale ferroelectric domains journal May 2002
Formation of 90° elastic domains during local 180° switching in epitaxial ferroelectric thin films journal January 2004
Domain growth kinetics in lithium niobate single crystals studied by piezoresponse force microscopy journal January 2005
Piezoelectric nonlinearity in ferroelectric thin films journal August 2006
Ferroelectric thin films: Review of materials, properties, and applications journal September 2006
Synthesis and multiferroic properties of Bi0.8A0.2FeO3 (A=Ca,Sr,Pb) ceramics journal June 2007
High speed piezoresponse force microscopy: <1 frame per second nanoscale imaging journal August 2008
Thermodynamic theory of PbTiO 3 journal October 1987
Physics of the ferroelectric nonvolatile memory field effect transistor journal December 1992
Dynamic properties of relaxor ferroelectrics journal February 1999
Dynamic piezoresponse force microscopy: Spatially resolved probing of polarization dynamics in time and voltage domains journal September 2012
Domain wall roughness and creep in nanoscale crystalline ferroelectric polymers journal September 2013
Suppressed polar distortion with enhanced Curie temperature in in-plane 90°-domain structure of a -axis oriented PbTiO 3 Film journal January 2015
Ferroelectric or non-ferroelectric: Why so many materials exhibit “ferroelectricity” on the nanoscale journal June 2017
Evaluation of electrically polar substances by electric scanning force microscopy. Part II: Measurement signals due to electromechanical effects journal March 1995
Dynamics of ferroelectric domain formation in an atomic force microscope journal May 2005
Piezoresponse Scanning Force Microscopy: What Quantitative Information Can We Really Get Out of Piezoresponse Measurements on Ferroelectric Thin Films journal January 2002
Ferroelectric, dielectric and piezoelectric properties of ferroelectric thin films and ceramics journal September 1998
Theory of the nonlinear susceptibility of relaxor ferroelectrics journal December 1998
Dynamics of ferroelectric nanodomains in BaTiO 3 epitaxial thin films via piezoresponse force microscopy journal August 2008
Scanning force microscopy of domain structure in ferroelectric thin films: imaging and control journal September 1997
Subcritical switching dynamics and humidity effects in nanoscale studies of domain growth in ferroelectric thin films journal January 2015
Kinetics of electric-field-induced ferroelectric phase transitions in relaxor ferroelectrics journal December 2001
Resolution-function theory in piezoresponse force microscopy: Wall imaging, spectroscopy, and lateral resolution journal May 2007
Thermodynamics of nanodomain formation and breakdown in scanning probe microscopy: Landau-Ginzburg-Devonshire approach journal December 2009
Thermal quench effects on ferroelectric domain walls journal June 2012
Domain Wall Creep in Epitaxial Ferroelectric P b ( Z r 0.2 T i 0.8 ) O 3 Thin Films journal August 2002
Thickness and strain dependence of piezoelectric coefficient in BaTiO 3 thin films journal February 2020
A decade of piezoresponse force microscopy: progress, challenges, and opportunities journal December 2006
Higher-order electromechanical response of thin films by contact resonance piezoresponse force microscopy journal December 2006
Phase-Field Method of Phase Transitions/Domain Structures in Ferroelectric Thin Films: A Review journal June 2008
Perspective on the Development of Lead-free Piezoceramics journal June 2009
Electromechanical Imaging and Spectroscopy of Ferroelectric and Piezoelectric Materials: State of the Art and Prospects for the Future journal August 2009
Scanning force microscopy for the study of domain structure in ferroelectric thin films journal March 1996
APPLIED PHYSICS: Tunneling Across a Ferroelectric journal July 2006
Polarization Control of Electron Tunneling into Ferroelectric Surfaces journal June 2009
Ferroelectric Field Effect Transistor Based on Epitaxial Perovskite Heterostructures journal April 1997
Scanning Force Microscopy Studies of Domain Structure in B a T i O 3 Single Crystals journal April 1997
Imaging and Control of Domain Structures in Ferroelectric thin Films via Scanning Force Microscopy journal August 1998
Nonlinear Component Analysis as a Kernel Eigenvalue Problem journal July 1998
Spectroscopic imaging in piezoresponse force microscopy: New opportunities for studying polarization dynamics in ferroelectrics and multiferroics journal July 2012