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Title: Comparative first-principles studies of prototypical ferroelectric materials by LDA, GGA, and SCAN meta-GGA

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [3]
  1. Temple Univ., Philadelphia, PA (United States); Univ. of Texas at El Paso, TX (United States)
  2. Univ. of Texas at El Paso, TX (United States)
  3. Temple Univ., Philadelphia, PA (United States)

Originating from a broken spatial inversion symmetry, ferroelectricity is a functionality of materials with an electric dipole that can be switched by external electric fields. Spontaneous polarization is a crucial ferroelectric property, and its amplitude is determined by the strength of polar structural distortions. Density functional theory (DFT) is one of the most widely used theoretical methods to study ferroelectric properties, yet it is limited by the levels of approximations in electron exchange-correlation. On the one hand, the local density approximation (LDA) is considered to be more accurate for the conventional perovskite ferroelectrics such as BaTiO3 and PbTiO3 than the generalized gradient approximation (GGA),which suffers from the so-called super-tetragonality error. On the other hand, GGA is more suitable for hydrogen-bonded ferroelectrics than LDA, which largely overestimates the strength of hydrogen bonding in general. We demonstrate here that the recently developed general-purpose strongly constrained and appropriately normed (SCAN) meta-GGA functional significantly improves over the traditional LDA/GGA for structural, electric, and energetic properties of diversely bonded ferroelectric materials with a comparable computational effort and thus enhances largely the predictive power of DFT in studies of ferroelectric materials. We also address the observed system-dependent performances of LDA and GGA for ferroelectrics from a chemical bonding point of view.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for the Computational Design of Functional Layered Materials (CCDM); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); US Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF)
Grant/Contract Number:
SC0012575; DMR-1552287; AC02-05CH11231; CNS-09-58854
OSTI ID:
1469912
Alternate ID(s):
OSTI ID: 1372540
Journal Information:
Physical Review. B, Vol. 96, Issue 3; Related Information: CCDM partners with Temple University (lead); Brookhaven National Laboratory; Drexel University; Duke University; North Carolina State University; Northeastern University; Princeton University; Rice University; University of Pennsylvania; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 125 works
Citation information provided by
Web of Science

References (128)

Optical band gap of BiFeO3 grown by molecular-beam epitaxy journal April 2008
Hexagonal A B C Semiconductors as Ferroelectrics journal October 2012
Projector augmented-wave method journal December 1994
Hybrid functionals based on a screened Coulomb potential journal May 2003
Very large spontaneous electric polarization in BiFeO3 single crystals at room temperature and its evolution under cycling fields journal July 2007
Screened hybrid density functionals applied to solids journal April 2006
The growth and ferroelectric properties of high resistivity single crystals of lead titanate journal January 1970
Do we know the band gap of lithium niobate? journal February 2010
Structure of BaTiO3 at low temperatures journal December 1949
Why Are There so Few Magnetic Ferroelectrics? journal July 2000
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
The origin of ferroelectricity in magnetoelectric YMnO3 journal February 2004
Thermophysical Properties of BaZrO3 and BaCeO3. journal December 2003
Lattice parameters and birefringence in PbTiO 3 single crystals journal February 1979
Stabilization of Highly Polar BiFeO 3 -like Structure: A New Interface Design Route for Enhanced Ferroelectricity in Artificial Perovskite Superlattices journal March 2016
Competing Structural Instabilities in Cubic Perovskites journal March 1995
Apparent Ionic Charges and Vibrational Eigenmodes of BaTi O 3 and Other Perovskites journal May 1967
Ferroelectric properties and fatiguing effects of modified PbTiO3 ceramics journal January 1975
Ferroelectricity versus Antiferroelectricity in the Solid Solutions of PbZrO 3 and PbTiO 3 journal September 1953
Possible coexistence of rotational and ferroelectric lattice distortions in rhombohedral PbZr x Ti 1 x O 3 journal February 2001
First principles phonon calculations in materials science preprint January 2015
Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite journal February 2005
Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional journal June 2016
Theory of polarization of crystalline solids journal January 1993
Comment on: ‘A symmetric hydrogen bond revisited: potassium hydrogen maleate by variable temperature, variable pressure neutron diffraction and plane-wave DFT methods’ [Chem. Phys. Lett. 381 (2003) 102] journal November 2004
Ferroelectric transition in Y Mn O 3 from first principles journal September 2005
X-ray and neutron diffraction study of ferroelectric PbTiO 2 journal February 1956
Insights into Current Limitations of Density Functional Theory journal August 2008
Gaussian density functional calculations on hydrogen-bonded systems journal May 1992
Optical properties of reduced lithium niobate single crystals journal December 1990
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Hybrid functional study of prototypical multiferroic bismuth ferrite journal January 2009
Neutron Diffraction Study of Orthorhombic BaTi O 3 journal February 1957
Neutron inelastic scattering study of the lattice dynamics of strontium titanate: harmonic models journal October 1972
Polymorphism in potassium niobate, sodium niobate, and other AB O 3 compounds journal July 1951
Some mixed metal oxides of perovskite structure journal August 1960
The individual and collective effects of exact exchange and dispersion interactions on the ab initio structure of liquid water journal August 2014
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Phonon transport in perovskite SrTiO3 from first principles preprint January 2015
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
First principles phonon calculations in materials science journal November 2015
Comparison of the electronic structures and energetics of ferroelectric LiNbO 3 and LiTaO 3 journal January 1996
Phonon transport in perovskite SrTiO 3 from first principles journal June 2015
Coupled displacive and order–disorder dynamics in LiNbO3 by molecular-dynamics simulation journal March 2004
First-principles study of spontaneous polarization in multiferroic Bi Fe O 3 journal January 2005
Phonons, Instabilities and Origin of Polarization in KDP Crystals journal October 2010
Organic ferroelectrics journal May 2008
Magnetic structure of epitaxial multiferroic BiFeO 3 films with engineered ferroelectric domains journal October 2010
Giant magneto-elastic coupling in multiferroic hexagonal manganites journal February 2008
SrTiO 3 and BaTiO 3 revisited using the projector augmented wave method: Performance of hybrid and semilocal functionals journal September 2008
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
A first-principles scheme to phonons of high temperature phase: No imaginary modes for cubic SrTiO3 journal October 2010
Absorption Edge Anomalies in Polar Semiconductors and Dielectrics at Phase Transitions journal August 1984
RELATIONSHIP BETWEEN LINEAR AND QUADRATIC ELECTRO‐OPTIC COEFFICIENTS IN LiNbO 3 , LiTaO 3 , AND OTHER OXYGEN‐OCTAHEDRA FERROELECTRICS BASED ON DIRECT MEASUREMENT OF SPONTANEOUS POLARIZATION journal March 1968
SrTi O 3 : An intrinsic quantum paraelectric below 4 K journal April 1979
Optical spectra of ferroelectric-antiferromagnetic rare earth manganates journal July 1969
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
Tunnelling and zero-point motion in high-pressure ice journal March 1998
Hybrid functional study of proper and improper multiferroics journal January 2010
Structure of a ferroelectric and ferroelastic monodomain crystal of the perovskite BiFeO3 journal December 1990
Relation between x-ray emission mechanism and crystal structure in LiNbO 3 journal April 2006
Observation of infrared active and silent modes in cubic crystals by hyper-Raman scattering journal March 1979
First-principles study of ferroelectricity and isotope effects in H-bonded K H 2 P O 4 crystals journal May 2005
Synthesis and reactivity of compounds with cyclobutane rings. Part III. Cyclobut-1-ene-1,2-dicarboxylic acid. X-Ray crystal structure and exceptional stereoselectivity in its Diels–Alder reaction with cyclopentadiene journal January 1974
Epitaxially grown YMnO 3 film: New candidate for nonvolatile memory devices journal August 1996
Very large spontaneous electric polarization in BiFeO3 single crystals at room temperature and its evolution under cycling fields text January 2007
On the Symmetry of the Hydrogen Bonds in Ice VII journal January 1972
Electron density and atomic displacements in KTaO 3 journal August 2000
Lattice dynamics of BaTiO 3 , PbTiO 3 , and PbZrO 3 : A comparative first-principles study journal July 1999
Anharmonic effective pair potentials in CaTiO 3 , SrTiO 3 and CaGeO 3 perovskite journal March 2001
Density-functional exchange-energy approximation with correct asymptotic behavior journal September 1988
Structural Assignment of Polarization in Hydrogen-Bonded Supramolecular Ferroelectrics journal October 2007
Resonant bonding leads to low lattice thermal conductivity journal April 2014
Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian journal February 2017
High-temperature phase transitions of hexagonal YMnO 3 journal March 2011
Polar distortions in hydrogen bonded organic ferroelectrics text January 2011
Supramolecular ferroelectrics journal March 2015
Formation Mechanisms of Tetragonal Barium Titanate Nanoparticles in Alkoxide-Hydroxide Sol-Precipitation Synthesis journal June 2006
Effect of deuteration on the spontaneous polarization of KH2PO4 crystals journal May 1968
Electrical properties of improper ferroelectrics from first principles journal September 2012
Eine neue seignette-elektrische Substanz journal October 1935
First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA + U method journal January 1997
Low-temperature behavior of spontaneous polarization in LiNb O 3 and LiTa O 3 journal January 1976
Electrical Behavior of Barium Titanatge Single Crystals at Low Temperatures journal August 1955
Origin of ferroelectricity in perovskite oxides journal July 1992
Ferroelectricity Driven by Y d 0 -ness with Rehybridization in YMnO 3 journal May 2007
Influence of PbZrO3 doping on the structural and magnetic properties of BiFeO3 journal December 2008
The Crystal Structure of Phenylmalondialdehyde at -162 degrees C. journal January 1977
Possible Coexistence of Rotational and Ferroelectric Lattice Distortions in Rhombohedral PZT text January 2000
Thermophysical properties of BaZrO3 and BaCeO3 journal September 2003
Hydrogen-Bonding Molecular Chains for High-Temperature Ferroelectricity journal April 2011
A symmetric hydrogen bond revisited: potassium hydrogen maleate by variable temperature, variable pressure neutron diffraction and plane-wave DFT methods journal November 2003
Green’s-function approach to linear response in solids journal May 1987
Giant LO-TO splittings in perovskite ferroelectrics journal May 1994
Hybrid exchange-correlation functional for accurate prediction of the electronic and structural properties of ferroelectric oxides journal April 2008
Dynamical atomic charges: The case of AB O 3 compounds journal September 1998
Phonons and static dielectric constant in CaTiO 3 from first principles journal August 2000
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
Atomic-Scale Structure of Nanocrystalline Ba x Sr 1- x TiO 3 ( x = 1, 0.5, 0) by X-ray Diffraction and the Atomic Pair Distribution Function Technique journal February 2006
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density text January 1988
Generalized gradient approximation for the exchange-correlation hole of a many-electron system journal December 1996
Polar distortions in hydrogen-bonded organic ferroelectrics journal July 2011
Reconstruction of local atomic environments in the disordered hydrogen-bonded crystal structures of paraelectric ammonium dihydrogen phosphate and potassium dihydrogen phosphate journal December 1973
Electrical properties of improper ferroelectrics from first principles text January 2012
Lattice dynamics and origin of ferroelectricity in BaTiO 3 : Linearized-augmented-plane-wave total-energy calculations journal October 1990
First-principles study of lattice instabilities in Ba[sub x]Sr[sub 1−x]TiO[sub 3] conference January 2000
Soft mode spectroscopy in barium titanate journal July 1980
The Hydrogen Bond in the Solid State journal January 2002
Assessment of the Perdew–Burke–Ernzerhof exchange-correlation functional journal March 1999
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Refinement of the Crystal Structure of KH2PO4 in the Ferroelectric Phase journal February 1990
Inhomogeneous Electron Gas journal November 1964
Density Functionals that Recognize Covalent, Metallic, and Weak Bonds journal September 2013
Inhomogeneous Electron Gas journal March 1973
Role of covalence and of correlation in the dielectric polarization of oxides journal April 1997
First-principles calculations of the structural and dynamical properties of ferroelectric YMnO 3 journal December 2011
Multiferroics: a magnetic twist for ferroelectricity journal January 2007
Ab initio linear response study of SrTiO 3 journal April 1997
Rationale for mixing exact exchange with density functional approximations journal December 1996
Polarization Fluctuations and the Optical-Absorption Edge in BaTi O 3 journal October 1970
Reply to comment on: ‘A symmetric hydrogen bond revisited: potassium hydrogen maleate by variable temperature, variable pressure neutron diffraction and plane-wave DFT methods’ [Chem. Phys. Lett. 381 (2003) 102] journal November 2004
Coupling-constant dependence of atomization energies journal January 1997
The Individual and Collective Effects of Exact Exchange and Dispersion Interactions on the Ab Initio Structure of Liquid Water text January 2014
Stereochemistry of post-transition metal oxides: revision of the classical lone pair model journal January 2011
Y–O hybridization in the ferroelectric transition of YMnO3 journal September 2009
Dielectric hysteresis in single crystal BiFeO3 journal July 1970
Phase transitions in BaTiO3: a high-pressure neutron diffraction study journal August 2005

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Molecular excited states from the SCAN functional journal November 2017
Competing stripe and magnetic phases in the cuprates from first principles journal December 2019
Decoupled Strain Response of Ferroic Properties in Multiferroic VOCl2 Monolayer text January 2020
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