DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Sr-induced dipole scatter in BaxSr1–xTiO3: Insights from a transferable-bond valence-based interatomic potential

Abstract

In order to design next-generation ferroelectrics, a microscopic understanding of their macroscopic properties is critical. One means to achieve an atomistic description of ferroelectric and dielectric phenomena is classical molecular dynamics simulations. Previously, we have shown that interatomic potentials based on the bond valence molecular dynamics method can be used to study structural phase transitions, ferroelectric domain nucleation, and domain wall migration in several perovskite oxides and fixed-composition binary and ternary alloys. Most modern devices, however, use variable-composition perovskite oxide alloys such as BaxSr1–xTiO3 (BST). Here, we extend our bond valence approach to BST solid solutions and, in so doing, show that the potential parameters for each element are transferable between materials with different x. Using this potential, we perform bond valence molecular dynamics simulations investigating the temperature and composition dependence of the lattice constants, Ti displacements, and ferroelectric polarization of BST and find that our predictions match experiments and first-principles theory. Additionally, based on a detailed analysis of local dipole distributions in rhombohedral BST, we demonstrate that substitution of Sr for Ba scrambles dipoles, reduces global polarization, and enhances the order-disorder character of the ferroelectric-paraelectric phase transition.

Authors:
ORCiD logo [1];  [2];  [1]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Rutgers Univ., Piscataway, NJ (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1800492
Grant/Contract Number:  
FG02-07ER46431; N00014-17-1-2574
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 17; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics

Citation Formats

Wexler, Robert B., Qi, Yubo, and Rappe, Andrew M. Sr-induced dipole scatter in BaxSr1–xTiO3: Insights from a transferable-bond valence-based interatomic potential. United States: N. p., 2019. Web. doi:10.1103/physrevb.100.174109.
Wexler, Robert B., Qi, Yubo, & Rappe, Andrew M. Sr-induced dipole scatter in BaxSr1–xTiO3: Insights from a transferable-bond valence-based interatomic potential. United States. https://doi.org/10.1103/physrevb.100.174109
Wexler, Robert B., Qi, Yubo, and Rappe, Andrew M. Wed . "Sr-induced dipole scatter in BaxSr1–xTiO3: Insights from a transferable-bond valence-based interatomic potential". United States. https://doi.org/10.1103/physrevb.100.174109. https://www.osti.gov/servlets/purl/1800492.
@article{osti_1800492,
title = {Sr-induced dipole scatter in BaxSr1–xTiO3: Insights from a transferable-bond valence-based interatomic potential},
author = {Wexler, Robert B. and Qi, Yubo and Rappe, Andrew M.},
abstractNote = {In order to design next-generation ferroelectrics, a microscopic understanding of their macroscopic properties is critical. One means to achieve an atomistic description of ferroelectric and dielectric phenomena is classical molecular dynamics simulations. Previously, we have shown that interatomic potentials based on the bond valence molecular dynamics method can be used to study structural phase transitions, ferroelectric domain nucleation, and domain wall migration in several perovskite oxides and fixed-composition binary and ternary alloys. Most modern devices, however, use variable-composition perovskite oxide alloys such as BaxSr1–xTiO3 (BST). Here, we extend our bond valence approach to BST solid solutions and, in so doing, show that the potential parameters for each element are transferable between materials with different x. Using this potential, we perform bond valence molecular dynamics simulations investigating the temperature and composition dependence of the lattice constants, Ti displacements, and ferroelectric polarization of BST and find that our predictions match experiments and first-principles theory. Additionally, based on a detailed analysis of local dipole distributions in rhombohedral BST, we demonstrate that substitution of Sr for Ba scrambles dipoles, reduces global polarization, and enhances the order-disorder character of the ferroelectric-paraelectric phase transition.},
doi = {10.1103/physrevb.100.174109},
journal = {Physical Review B},
number = 17,
volume = 100,
place = {United States},
year = {Wed Nov 27 00:00:00 EST 2019},
month = {Wed Nov 27 00:00:00 EST 2019}
}

Works referenced in this record:

Structure and properties of edge dislocations in BiFe O 3
journal, March 2019


Direct determination of the effect of strain on domain morphology in ferroelectric superlattices with scanning probe microscopy
journal, September 2012

  • Kathan-Galipeau, K.; Wu, P. P.; Li, Y. L.
  • Journal of Applied Physics, Vol. 112, Issue 5
  • DOI: 10.1063/1.4746081

The effects of solvents on the formation of Ba0.65Sr0.35TiO3 thin films derived by sol–gel processing
journal, May 2013


Sol–gel derived nanocrystalline and mesoporous barium strontium titanate prepared at room temperature
journal, June 2011


QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009

  • Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
  • Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
  • DOI: 10.1088/0953-8984/21/39/395502

Nanotubes Patterned Thin Films of Barium-strontium Titanate
journal, August 2005

  • Wei, Xuezheng; Vasiliev, Alexander L.; Padture, Nitin P.
  • Journal of Materials Research, Vol. 20, Issue 8
  • DOI: 10.1557/JMR.2005.0264

A simple empirical N -body potential for transition metals
journal, July 1984


Structural evidence for enhanced polarization in a commensurate short-period BaTiO3∕SrTiO3 superlattice
journal, August 2006

  • Tian, W.; Jiang, J. C.; Pan, X. Q.
  • Applied Physics Letters, Vol. 89, Issue 9
  • DOI: 10.1063/1.2335367

Anisotropic Local Correlations and Dynamics in a Relaxor Ferroelectric
text, January 2012


Ultrafast terahertz-field-driven ionic response in ferroelectric BaTiO 3
journal, November 2016


Bond-order potentials: bridging the electronic to atomistic modelling hierarchies
journal, April 2002


Origin of antiphase domain boundaries and their effect on the dielectric constant of Ba0.5Sr0.5TiO3 films grown on MgO substrates
journal, December 2002

  • Li, Hao; Zheng, H.; Salamanca-Riba, L.
  • Applied Physics Letters, Vol. 81, Issue 23
  • DOI: 10.1063/1.1523632

Infrared spectroscopy of an epitaxial BaTiO 3 /SrTiO 3 superlattice grown on a (110) SmScO 3 substrate
journal, May 2014

  • Železný, V.; Soukiassian, A.; Schlom, D. G.
  • Journal of Applied Physics, Vol. 115, Issue 18
  • DOI: 10.1063/1.4875877

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Anisotropic Local Correlations and Dynamics in a Relaxor Ferroelectric
journal, April 2013


Intrinsic ferroelectric switching from first principles
journal, June 2016

  • Liu, Shi; Grinberg, Ilya; Rappe, Andrew M.
  • Nature, Vol. 534, Issue 7607
  • DOI: 10.1038/nature18286

Deposition of extremely thin (Ba,Sr)TiO 3 thin films for ultra‐large‐scale integrated dynamic random access memory application
journal, November 1995

  • Hwang, Cheol Seong; Park, Soon Oh; Cho, Hag‐Ju
  • Applied Physics Letters, Vol. 67, Issue 19
  • DOI: 10.1063/1.114795

Development of a bond-valence based interatomic potential for BiFeO 3 for accurate molecular dynamics simulations
journal, February 2013


First-principles theory of ferroelectric phase transitions for perovskites: The case of BaTiO 3
journal, September 1995


Exploiting dimensionality and defect mitigation to create tunable microwave dielectrics
journal, October 2013

  • Lee, Che-Hui; Orloff, Nathan D.; Birol, Turan
  • Nature, Vol. 502, Issue 7472
  • DOI: 10.1038/nature12582

Shell model of BaTiO 3 derived from ab-initio total energy calculations
journal, November 2013

  • Vielma, J. M.; Schneider, G.
  • Journal of Applied Physics, Vol. 114, Issue 17
  • DOI: 10.1063/1.4827475

Relationship between local structure and phase transitions of a disordered solid solution
journal, October 2002

  • Grinberg, Ilya; Cooper, Valentino R.; Rappe, Andrew M.
  • Nature, Vol. 419, Issue 6910
  • DOI: 10.1038/nature01115

Empirical bond-strength–bond-length curves for oxides
journal, May 1973


Polymorphic transitions in single crystals: A new molecular dynamics method
journal, December 1981

  • Parrinello, M.; Rahman, A.
  • Journal of Applied Physics, Vol. 52, Issue 12
  • DOI: 10.1063/1.328693

Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
journal, April 2008


Seeing the forest and the trees
journal, June 2018


Epitaxial growth of dielectric Ba0.6Sr0.4TiO3 thin film on MgO for room temperature microwave phase shifters
journal, January 2001

  • Chen, C. L.; Shen, J.; Chen, S. Y.
  • Applied Physics Letters, Vol. 78, Issue 5
  • DOI: 10.1063/1.1343499

SrTiO 3 and BaTiO 3 revisited using the projector augmented wave method: Performance of hybrid and semilocal functionals
journal, September 2008


Influence of interfacial coherency on ferroelectric switching of superlattice BaTiO 3 /SrTiO 3
journal, September 2015

  • Wu, Pingping; Ma, Xingqiao; Li, Yulan
  • Applied Physics Letters, Vol. 107, Issue 12
  • DOI: 10.1063/1.4931129

Reinterpretation of the bond-valence model with bond-order formalism: An improved bond-valence-based interatomic potential for PbTiO 3
journal, September 2013


First-principles study of symmetry lowering and polarization in Ba Ti O 3 Sr Ti O 3 superlattices with in-plane expansion
journal, March 2005


Interfacial coherency and ferroelectricity of BaTiO3∕SrTiO3 superlattice films
journal, December 2007

  • Li, Y. L.; Hu, S. Y.; Tenne, D.
  • Applied Physics Letters, Vol. 91, Issue 25
  • DOI: 10.1063/1.2823608

Electron Spin Resonance of Fe 3+ in SrTiO 3 with Special Reference to the 110°K Phase Transition
journal, September 1967

  • Unoki, Hiromi; Sakudo, Tunetaro
  • Journal of the Physical Society of Japan, Vol. 23, Issue 3
  • DOI: 10.1143/JPSJ.23.546

Optimized pseudopotentials
journal, January 1990

  • Rappe, Andrew M.; Rabe, Karin M.; Kaxiras, Efthimios
  • Physical Review B, Vol. 41, Issue 2
  • DOI: 10.1103/PhysRevB.41.1227

Development of a bond-valence molecular-dynamics model for complex oxides
journal, February 2005


Terahertz field–induced ferroelectricity in quantum paraelectric SrTiO 3
journal, June 2019


Bond-Valence Model of Ferroelectric PbTiO3
journal, April 2008

  • Shin, Young-Han; Lee, Byeong-Joo; Rappe, Andrew M.
  • Journal of the Korean Physical Society, Vol. 52, Issue 9(4)
  • DOI: 10.3938/jkps.52.1206

Phase transitions and glasslike behavior in Sr 1 x Ba x TiO 3
journal, August 1996


Atomistic modelling of BaTiO 3 based on first-principles calculations
journal, November 1999

  • Tinte, S.; Stachiotti, M. G.; Sepliarsky, M.
  • Journal of Physics: Condensed Matter, Vol. 11, Issue 48
  • DOI: 10.1088/0953-8984/11/48/325

Ferroelectric (Ba, Sr)TiO 3 thin films for H 2 gas detection by sol-gel and RF sputtering
journal, March 1999


Displacive-order-disorder crossover at the ferroelectric-paraelectric phase transitions of BaTiO3 and LiTaO3
journal, January 1982


Temperature-dependent far-infrared reflectance of an epitaxial ( BaTiO 3 ) 8 / ( SrTiO 3 ) 4 superlattice
journal, June 2017


Empirical parameters for calculating cation–oxygen bond valences
journal, July 1976

  • Brown, I. D.; Wu, K. K.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 32, Issue 7
  • DOI: 10.1107/S0567740876006869

Order–disorder character of PbTiO 3
journal, December 2007


XCVI. Theory of barium titanate: Part I
journal, October 1949

  • Devonshire, A. F.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 40, Issue 309
  • DOI: 10.1080/14786444908561372

Nucleation and growth mechanism of ferroelectric domain-wall motion
journal, October 2007

  • Shin, Young-Han; Grinberg, Ilya; Chen, I-Wei
  • Nature, Vol. 449, Issue 7164
  • DOI: 10.1038/nature06165

Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Recent Developments in the Methods and Applications of the Bond Valence Model
journal, December 2009


Epitaxial ferroelectric Ba0.5Sr0.5TiO3 thin films for room-temperature tunable element applications
journal, July 1999

  • Chen, C. L.; Feng, H. H.; Zhang, Z.
  • Applied Physics Letters, Vol. 75, Issue 3
  • DOI: 10.1063/1.124392

Molecular Dynamics Simulations of Chemically Disordered Ferroelectric (Ba,Sr)TiO 3 with a Semi-Empirical Effective Hamiltonian
journal, November 2016

  • Nishimatsu, Takeshi; Grünebohm, Anna; Waghmare, Umesh V.
  • Journal of the Physical Society of Japan, Vol. 85, Issue 11
  • DOI: 10.7566/JPSJ.85.114714

Large polarization gradients and temperature-stable responses in compositionally-graded ferroelectrics
journal, May 2017

  • Damodaran, Anoop R.; Pandya, Shishir; Qi, Yubo
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14961

Orientation effect on microwave dielectric properties of Si-integrated Ba0.6Sr0.4TiO3 thin films for frequency agile devices
journal, July 2006

  • Kim, Hyun-Suk; Hyun, Tae-Seon; Kim, Ho-Gi
  • Applied Physics Letters, Vol. 89, Issue 5
  • DOI: 10.1063/1.2236099

Infrared spectroscopy of strained BaTiO 3 /SrTiO 3 superlattices on scandate substrates
journal, October 2014


Finite-temperature properties of ( Ba , Sr ) Ti O 3 systems from atomistic simulations
journal, April 2006


Structural evolution and polar order in Sr 1 x Ba x TiO 3
journal, May 2002


Crystal Structure and Pair Potentials: A Molecular-Dynamics Study
journal, October 1980


A unified formulation of the constant temperature molecular dynamics methods
journal, July 1984

  • Nosé, Shuichi
  • The Journal of Chemical Physics, Vol. 81, Issue 1
  • DOI: 10.1063/1.447334

Seeing the forest and the trees
journal, April 2012


Structure and ferroelectric properties of barium titanate films synthesized by sol–gel method
journal, June 2011


Correlations and local order parameter in the paraelectric phase of barium titanate
journal, March 2011


Ultrafast Electric Field Pulse Control of Giant Temperature Change in Ferroelectrics
journal, January 2018


Born effective charges of barium titanate: Band-by-band decomposition and sensitivity to structural features
journal, March 1995


A molecular dynamics method for simulations in the canonical ensemble
journal, January 2002


Epitaxial∕amorphous Ba0.3Sr0.7TiO3 film composite structure for tunable applications
journal, July 2006

  • Yamada, Tomoaki; Sherman, Vladimir O.; Nöth, Andreas
  • Applied Physics Letters, Vol. 89, Issue 3
  • DOI: 10.1063/1.2226999

A molecular dynamics method for simulations in the canonical ensemble
journal, June 1984


A new simplifying approach to molecular geometry description: the vectorial bond-valence model
journal, November 2006

  • Harvey, Miguel Angel; Baggio, Sergio; Baggio, Ricardo
  • Acta Crystallographica Section B Structural Science, Vol. 62, Issue 6
  • DOI: 10.1107/S0108768106026553

Asymmetry in mechanical polarization switching
journal, May 2017

  • Lu, Haidong; Liu, Shi; Ye, Ziyu
  • Applied Physics Letters, Vol. 110, Issue 22
  • DOI: 10.1063/1.4983381

Structural, dielectric, and insulating properties of barium strontium titanate thin films grown on various oriented LaAlO3 substrates
journal, February 2009

  • Chen, Hongwei; Yang, Chuanren; Wang, Bo
  • Journal of Applied Physics, Vol. 105, Issue 3
  • DOI: 10.1063/1.3077267

Amorphization-induced surface electronic states modulation of cobaltous oxide nanosheets for lithium-sulfur batteries
journal, May 2021


Designed nonlocal pseudopotentials for enhanced transferability
journal, May 1999


Quantification of Internal Electric Fields and Local Polarization in Ferroelectric Superlattices
journal, December 2010

  • Kathan-Galipeau, Kendra; Wu, Pingping; Li, Yulan
  • ACS Nano, Vol. 5, Issue 1
  • DOI: 10.1021/nn102884s

Coplanar Phase Shifters Based on Ferroelectric Thin Films
journal, February 2007

  • Fu, Chunlin; Pan, Fusheng; Chen, Hongwei
  • International Journal of Infrared and Millimeter Waves, Vol. 28, Issue 3
  • DOI: 10.1007/s10762-007-9195-y

Inhomogeneous Electron Gas
journal, November 1964


Ferroelectric properties of Ba x Sr x TiO 3 solid solutions obtained by molecular dynamics simulation
journal, May 2004

  • Tinte, S.; Stachiotti, M. G.; Phillpot, S. R.
  • Journal of Physics: Condensed Matter, Vol. 16, Issue 20
  • DOI: 10.1088/0953-8984/16/20/019

Canonical dynamics: Equilibrium phase-space distributions
journal, March 1985


Effect of film composition on the orientation of (Ba,Sr)TiO 3 grains in (Ba,Sr) y TiO 2+ y thin films
journal, December 1999

  • Kaiser, Debra L.; Vaudin, Mark D.; Rotter, Lawrence D.
  • Journal of Materials Research, Vol. 14, Issue 12
  • DOI: 10.1557/JMR.1999.0630

BaTiO 3 -based piezoelectrics: Fundamentals, current status, and perspectives
journal, December 2017

  • Acosta, M.; Novak, N.; Rojas, V.
  • Applied Physics Reviews, Vol. 4, Issue 4
  • DOI: 10.1063/1.4990046

Designed nonlocal pseudopotentials for enhanced transferability
preprint, January 1997


Challenges and opportunities for multi-functional oxide thin films for voltage tunable radio frequency/microwave components
journal, November 2013

  • Subramanyam, Guru; Cole, M. W.; Sun, Nian X.
  • Journal of Applied Physics, Vol. 114, Issue 19
  • DOI: 10.1063/1.4827019

Epitaxial Strain Control of Relaxor Ferroelectric Phase Evolution
journal, April 2019


Ultrafast Terahertz Gating of the Polarization and Giant Nonlinear Optical Response in BiFeO 3 Thin Films
journal, September 2015


Atomistic description for temperature-driven phase transitions in BaTiO 3
journal, October 2016


Ferroelectricity-Induced Coupling between Light and Terahertz-Frequency Acoustic Phonons in BaTiO 3 / SrTiO 3 Superlattices
journal, November 2008


Low dielectric loss Ba0.6Sr0.4TiO3/MgTiO3 composite thin films prepared by a sol–gel process
journal, June 2014


Slush-like polar structures in single-crystal relaxors
journal, June 2017

  • Takenaka, Hiroyuki; Grinberg, Ilya; Liu, Shi
  • Nature, Vol. 546, Issue 7658
  • DOI: 10.1038/nature22068

Mg-doped Ba0.6Sr0.4TiO3 thin films for tunable microwave applications
journal, July 2000

  • Joshi, P. C.; Cole, M. W.
  • Applied Physics Letters, Vol. 77, Issue 2
  • DOI: 10.1063/1.126953

Order-disorder, local structure and precursor effects in BaTiO 3
journal, January 2000