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Piezoelectric response and free-energy instability in the perovskite crystals<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Ba</mml:mi><mml:mi mathvariant="normal">Ti</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi><mml:mi mathvariant="normal">Ti</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Zr</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Ti</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math>

https://doi.org/10.1103/physrevb.73.174106

36/36 checkable references clean · checked 2026-07-23

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

The 36 checked references that resolve

resolves10.1143/JJAP.21.1298

Dielectric and Piezoelectric Properties of 0.91Pb(Zn1/3Nb2/3)O3-0.09PbTiO3 Single Crystals

resolves10.1063/1.365983

Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals

resolves10.1143/JJAP.36.5580

Crystal Orientation Dependence of Piezoelectric Properties in Lead Zirconate Titanate: Theoretical Expectation for Thin Films

resolves10.1143/JJAP.38.5505

Enhanced Piezoelectric Property of Barium Titanate Single Crystals with Engineered Domain Configurations

resolves10.1063/1.1476078

Domain structures in KNbO3 crystals and their piezoelectric properties

resolves10.1038/35002022

Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics

resolves10.1063/1.1957130

Enhanced piezoelectric properties of barium titanate single crystals with different engineered-domain sizes

resolves10.1103/PhysRevB.72.014112

Domain-size dependence of piezoelectric properties of ferroelectrics

resolves10.1103/PhysRevLett.91.197601

Conformal Miniaturization of Domains with Low Domain-Wall Energy: Monoclinic Ferroelectric States near the Morphotropic Phase Boundaries

resolves10.1103/PhysRevB.64.060103

Electric-field induced polarization paths in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Z</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi>−</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ti</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>alloys

resolves10.1103/PhysRevLett.95.037601

Pressure-Induced Anomalous Phase Transitions and Colossal Enhancement of Piezoelectricity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>PbTiO</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>

resolves10.1063/1.1372360

Phase transitional behavior and piezoelectric properties of the orthorhombic phase of Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals

resolves10.1063/1.1625080

Piezoelectric anisotropy–phase transition relations in perovskite single crystals

resolves10.1063/1.1799231

Large enhancement of the piezoelectric response in perovskite crystals by electric bias field antiparallel to polarization

resolves10.1063/1.1641960

Effect of uniaxial stress on the large-signal electromechanical properties of electrostrictive and piezoelectric lead magnesium niobate lead titanate ceramics

resolves10.1103/PhysRevB.72.064107

Enhancement of the piezoelectric response of tetragonal perovskite single crystals by uniaxial stress applied along the polar axis: A free-energy approach

resolves10.1143/JJAP.37.L985

Morphotropic Phase Boundary in Solid Solution Systems of Perovskite-Type Oxide Ferroelectrics

resolves10.1080/714939482

Anisotropy of Piezoelectricity near Morphotropic Phase Boundary in Perovskite-Type Oxide Ferroelectrics

resolves10.1103/PhysRevLett.84.5423

Origin of the High Piezoelectric Response in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>PbZr</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Ti</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

resolves10.1103/PhysRevLett.84.5427

Finite-Temperature Properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Pb</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Zr</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>Ti</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Alloys from First Principles

resolves10.1063/1.339293

Thermodynamic theory of PbTiO3

resolves10.1080/14786444908561372

XCVI. Theory of barium titanate

resolves10.1111/j.1551-2916.2005.00671.x

Contributions to the Piezoelectric Effect in Ferroelectric Single Crystals and Ceramics

resolves10.1080/00150198908221440

Thermodynamic theory of the lead zirconate-titanate solid solution system, part V: Theoretical calculations

resolves10.1080/00150198408240090

A phenomenological gibbs function for BaTiO3 giving correct e field dependence of all ferroelectric phase changes

resolves10.1080/00150198608008198

Elastic and piezoelectric coefficients of TSSG barium titanate single crystals

resolves10.1103/PhysRevB.34.1595

Effect of elastic boundary conditions on morphotropic Pb(Zr,Ti)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>piezoelectrics

resolves10.1080/00150198908221447

Sign notation in ferroelectric free energy functions

resolves10.1063/1.1610242

Nonlinear electric field dependence of piezoresponse in epitaxial ferroelectric lead zirconate titanate thin films

resolves10.1103/PhysRevB.63.144103

Devonshire-Landau free energy of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">BaTiO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>from first principles

resolves10.1063/1.123756

A monoclinic ferroelectric phase in the Pb(Zr1−xTix)O3 solid solution

resolves10.1142/0215

The Landau Theory of Phase Transitions

resolves10.1103/PhysRevB.70.014108

Pressure tuning of the morphotropic phase boundary in piezoelectric lead zirconate titanate

resolves10.1103/PhysRevB.71.024112

Pressure-induced rotation of spontaneous polarization in monoclinic and triclinic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">PbZr</mml:mi></mml:mrow><mml:mrow><mml:mn>0.52</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ti</mml:mi></mml:mrow><mml:mrow><mml:mn>0.48</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math>

resolves10.1103/PhysRevLett.96.127602

Polar Domains in Lead Titanate Films under Tensile Strain

resolves10.1103/PhysRevB.63.094108

Monoclinic and triclinic phases in higher-order Devonshire theory

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