skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Flexocoupling impact on the generalized susceptibility and soft phonon modes in the ordered phase of ferroics

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2];  [1];  [3];  [4];  [5]
  1. National Academy of Sciences of Ukraine, Kiev (Ukraine)
  2. Uzhgorod Univ., Uzhgorod (Ukraine)
  3. National Research Univ. of Electronic Technology MIET, Moscow (Russia)
  4. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  5. National Academy of Sciences of Ukraine, Kyiv (Ukraine)

The impact of the flexoelectric effect on the generalized susceptibility and soft phonon dispersion is not well known in the long-range-ordered phases of ferroics. Within the Landau-Ginzburg-Devonshire approach we obtained analytical expressions for the generalized susceptibility and phonon dispersion relations in the ferroelectric phase. The joint action of the static and dynamic flexoelectric effects induces nondiagonal components of the generalized susceptibility, whose amplitude is proportional to the convolution of the spontaneous polarization with the flexocoupling constants. The flexocoupling essentially broadens the k spectrum of the generalized susceptibility and leads to an additional “pushing away” of the optical and acoustic soft mode phonon branches. The degeneracy of the transverse optical and acoustic modes disappears in the ferroelectric phase in comparison with the paraelectric phase due to the joint action of flexoelectric coupling and ferroelectric nonlinearity. Lastly, the results obtained might be mainly important for theoretical analyses of a broad spectrum of experimental data, including neutron and Brillouin scattering.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1265993
Alternate ID(s):
OSTI ID: 1222431
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 92, Issue 9; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

References (49)

Giant Flexoelectric Effect in Ferroelectric Epitaxial Thin Films journal July 2011
Fundamentals of flexoelectricity in solids journal October 2013
Flexoelectric Effect in Solids journal July 2013
Asymmetric Ferroelectricity and Anomalous Current Conduction in Heteroepitaxial B a T i O 3 Thin Films journal September 1997
Voltage shift phenomena in a heteroepitaxial BaTiO[sub 3] thin film capacitor journal January 2002
Domains in Ferroic Crystals and Thin Films book January 2010
The effect of flexoelectricity on the dielectric properties of inhomogeneously strained ferroelectric thin films journal March 2004
Strain gradients in epitaxial ferroelectrics journal July 2005
Spontaneous flexoelectric/flexomagnetic effect in nanoferroics journal April 2009
Understanding the origins of the intrinsic dead layer effect in nanocapacitors journal March 2009
Flexoelectricity induced increase of critical thickness in epitaxial ferroelectric thin films journal September 2012
Tunable Metallic Conductance in Ferroelectric Nanodomains journal December 2011
Domain wall conduction in multiaxial ferroelectrics journal January 2012
Atomic-scale evolution of modulated phases at the ferroelectric–antiferroelectric morphotropic phase boundary controlled by flexoelectric interaction journal January 2012
Bichiral structure of ferroelectric domain walls driven by flexoelectricity journal October 2012
Structural phase transitions and electronic phenomena at 180-degree domain walls in rhombohedral BaTiO 3 journal February 2013
Interfacial polarization and pyroelectricity in antiferrodistortive structures induced by a flexoelectric effect and rotostriction journal March 2012
Conductivity of twin-domain-wall/surface junctions in ferroelastics: Interplay of deformation potential, octahedral rotations, improper ferroelectricity, and flexoelectric coupling journal August 2012
Universal emergence of spatially modulated structures induced by flexoantiferrodistortive coupling in multiferroics journal December 2013
The origins of electromechanical indentation size effect in ferroelectrics journal October 2009
Flexoelectric properties of ferroelectrics and the nanoindentation size-effect journal January 2011
Elucidating the mechanism for indentation size-effect in dielectrics journal September 2012
Thermodynamics of electromechanically coupled mixed ionic-electronic conductors: Deformation potential, Vegard strains, and flexoelectric effect journal May 2011
Nanoscale electromechanics of paraelectric materials with mobile charges: Size effects and nonlinearity of electromechanical response of SrTiO 3 films journal July 2011
Mechanical Writing of Ferroelectric Polarization journal April 2012
Piezoelectricity and flexoelectricity in crystalline dielectrics journal October 1986
Strain-gradient-induced electric polarization in lead zirconate titanate ceramics journal May 2003
Strain-Gradient-Induced Polarization in SrTiO 3 Single Crystals journal October 2007
Flexoelectricity of barium titanate journal June 2006
Flexoelectric effect in ceramic lead zirconate titanate journal January 2005
Finite-temperature flexoelectricity in ferroelectric thin films from first principles journal March 2012
First-principles theory of frozen-ion flexoelectricity journal November 2011
Dynamic flexoelectric effect in perovskites from first-principles calculations journal August 2015
Low energy phonon spectrum and its parameterization in pure KTaO3 below 80 K journal June 2000
Quasi-Debye microwave loss as an intrinsic limitation of microwave performance of tunable components based on SrTiO3 and BaxSr1−xTiO3 ferroelectrics journal January 2005
Dynamical, scattering and dielectric properties of ferroelectric crystals journal March 1969
Complete spectrum of long-wavelength phonon modes in Sn 2 P 2 S 6 by Raman scattering journal January 2002
Lattice instability at phase transitions near the Lifshitz point in proper monoclinic ferroelectrics journal April 2006
Soft Ferroelectric Modes in Lead Titanate journal July 1970
Inelastic Neutron Scattering from Single-Domain BaTi O 3 journal November 1970
Soft Optic Modes in Barium Titanate journal July 1967
Interface-induced phenomena in polarization response of ferroelectric thin films journal September 2006
Lattice dynamics of crystals with tetragonal BaTiO 3 structure journal February 1988
Irreversibility and Generalized Noise journal July 1951
Upper bounds for flexoelectric coefficients in ferroelectrics journal February 2014
Thermodynamic theory of the lead zirconate-titanate solid solution system, part III: Curie constant and sixth-order polarization interaction dielectric stiffness coefficients journal November 1989
Phase diagrams and physical properties of single-domain epitaxial Pb ( Zr 1 x Ti x ) O 3 thin films journal February 2003
Thermodynamic theory of PbTiO 3 journal October 1987
Acoustic attenuation in ferroelectric Sn2P2S6 crystals journal January 2010

Cited By (3)

Quantification of flexoelectricity in PbTiO3/SrTiO3 superlattice polar vortices using machine learning and phase-field modeling journal November 2017
Lost surface waves in nonpiezoelectric solids journal July 2017
Defect driven flexo-chemical coupling in thin ferroelectric films text January 2017