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

Title: Polarizing Oxygen Vacancies in Insulating Metal Oxides under a High Electric Field

Abstract

We demonstrate a thermodynamic formulation to quantify defect formation energetics in an insulator under high electric field. As a model system, we analyzed neutral oxygen vacancies (color centers) in alkaline-earth-metal binary oxides using density functional theory, Berry phase calculations, and maximally localized Wannier functions. Work of polarization lowers the field dependent electric Gibbs energy of formation of this defect. This is attributed mainly to the ease of polarizing the two electrons trapped in the vacant site, and secondarily to the defect induced reduction in bond stiffness and softening of phonon modes. In conclusion, the formulation and analysis have implications for understanding the behavior of insulating oxides in electronic, magnetic, catalytic, and electrocaloric devices under high electric field.

Authors:
 [1];  [2];  [3]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering; The American Univ. in Cairo, New Cairo (Egypt)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering and Dept. of Biological Engineering
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Materials Science and Engineering and Dept. of Nuclear Science and Engineering
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1544370
Alternate Identifier(s):
OSTI ID: 1393703
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 12; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Youssef, Mostafa, Van Vliet, Krystyn J., and Yildiz, Bilge. Polarizing Oxygen Vacancies in Insulating Metal Oxides under a High Electric Field. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.126002.
Youssef, Mostafa, Van Vliet, Krystyn J., & Yildiz, Bilge. Polarizing Oxygen Vacancies in Insulating Metal Oxides under a High Electric Field. United States. https://doi.org/10.1103/PhysRevLett.119.126002
Youssef, Mostafa, Van Vliet, Krystyn J., and Yildiz, Bilge. Thu . "Polarizing Oxygen Vacancies in Insulating Metal Oxides under a High Electric Field". United States. https://doi.org/10.1103/PhysRevLett.119.126002. https://www.osti.gov/servlets/purl/1544370.
@article{osti_1544370,
title = {Polarizing Oxygen Vacancies in Insulating Metal Oxides under a High Electric Field},
author = {Youssef, Mostafa and Van Vliet, Krystyn J. and Yildiz, Bilge},
abstractNote = {We demonstrate a thermodynamic formulation to quantify defect formation energetics in an insulator under high electric field. As a model system, we analyzed neutral oxygen vacancies (color centers) in alkaline-earth-metal binary oxides using density functional theory, Berry phase calculations, and maximally localized Wannier functions. Work of polarization lowers the field dependent electric Gibbs energy of formation of this defect. This is attributed mainly to the ease of polarizing the two electrons trapped in the vacant site, and secondarily to the defect induced reduction in bond stiffness and softening of phonon modes. In conclusion, the formulation and analysis have implications for understanding the behavior of insulating oxides in electronic, magnetic, catalytic, and electrocaloric devices under high electric field.},
doi = {10.1103/PhysRevLett.119.126002},
journal = {Physical Review Letters},
number = 12,
volume = 119,
place = {United States},
year = {Thu Sep 21 00:00:00 EDT 2017},
month = {Thu Sep 21 00:00:00 EDT 2017}
}

Journal Article:

Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: (a) Relative electric Gibbs free energy of formation and (b) relative formation energy of $V^x_o$ as a function of electric field in the studied oxides.

Save / Share:

Works referenced in this record:

Effect of pressure on the crystal structure and the lattice parameters of BaO
journal, September 1972

  • Liu, Lin-gun; Bassett, William A.
  • Journal of Geophysical Research, Vol. 77, Issue 26
  • DOI: 10.1029/JB077i026p04934

Use of Legendre transforms in chemical thermodynamics (IUPAC Technical Report)
journal, August 2001


Influence of external electric fields on oxygen vacancies at the anatase (101) surface
journal, August 2014

  • Selçuk, Sencer; Selloni, Annabella
  • The Journal of Chemical Physics, Vol. 141, Issue 8
  • DOI: 10.1063/1.4893559

Point Defects in Oxides: Tailoring Materials Through Defect Engineering
journal, August 2011


Maximally localized Wannier functions: Theory and applications
journal, October 2012

  • Marzari, Nicola; Mostofi, Arash A.; Yates, Jonathan R.
  • Reviews of Modern Physics, Vol. 84, Issue 4
  • DOI: 10.1103/RevModPhys.84.1419

Computer graphics and graphical user interfaces as tools in simulations of matter at the atomic scale
journal, October 2003


Giant Electrocaloric Effect in Thin-Film PbZr0.95Ti0.05O3
journal, March 2006


An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions
journal, August 2014

  • Mostofi, Arash A.; Yates, Jonathan R.; Pizzi, Giovanni
  • Computer Physics Communications, Vol. 185, Issue 8
  • DOI: 10.1016/j.cpc.2014.05.003

Controlling nanowire growth through electric field-induced deformation of the catalyst droplet
journal, July 2016

  • Panciera, Federico; Norton, Michael M.; Alam, Sardar B.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12271

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

Exciton Spectra of CaO and MgO
journal, June 1969


Compilation of the Static Dielectric Constant of Inorganic Solids
journal, April 1973

  • Young, K. F.; Frederikse, H. P. R.
  • Journal of Physical and Chemical Reference Data, Vol. 2, Issue 2
  • DOI: 10.1063/1.3253121

Finite Elastic Strain of Cubic Crystals
journal, June 1947


VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data
journal, October 2011


Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997


Lattice vacancies in silicon film exposed to external electric field
journal, July 2013

  • Mao, Yuliang; Caliste, Damien; Pochet, Pascal
  • Journal of Applied Physics, Vol. 114, Issue 4
  • DOI: 10.1063/1.4816789

Extending the Concept of Defect Chemistry from Semiconductor Physics to Electrochemistry
journal, February 2014


Phase Diagram of Water under an Applied Electric Field
journal, October 2011


Pseudopotentials periodic table: From H to Pu
journal, December 2014


Influence of defects on ferroelectric and electrocaloric properties of BaTiO 3
journal, April 2016


Phonon structure in Sr Ti O 3 under finite electric fields: First-principles density functional approach
journal, July 2005


Universal Fabrication of 2D Electron Systems in Functional Oxides
journal, January 2016

  • Rödel, Tobias Chris; Fortuna, Franck; Sengupta, Shamashis
  • Advanced Materials, Vol. 28, Issue 10
  • DOI: 10.1002/adma.201505021

Electron Transfer at Oxide Surfaces. The MgO Paradigm: from Defects to Ultrathin Films
journal, November 2012

  • Pacchioni, Gianfranco; Freund, Hajo
  • Chemical Reviews, Vol. 113, Issue 6
  • DOI: 10.1021/cr3002017

Bulk electronic structure of SrTiO3: Experiment and theory
journal, December 2001

  • van Benthem, K.; Elsässer, C.; French, R. H.
  • Journal of Applied Physics, Vol. 90, Issue 12
  • DOI: 10.1063/1.1415766

Static Dielectric Properties of Carbon Nanotubes from First Principles
journal, April 2006


Pseudopotentials for high-throughput DFT calculations
journal, January 2014


Linear response approach to the calculation of the effective interaction parameters in the LDA + U method
journal, January 2005


Two-dimensional electron gas with universal subbands at the surface of SrTiO3
journal, January 2011

  • Santander-Syro, A. F.; Copie, O.; Kondo, T.
  • Nature, Vol. 469, Issue 7329, p. 189-193
  • DOI: 10.1038/nature09720

Resistive switching phenomena: A review of statistical physics approaches
journal, August 2015

  • Lee, Jae Sung; Lee, Shinbuhm; Noh, Tae Won
  • Applied Physics Reviews, Vol. 2, Issue 3
  • DOI: 10.1063/1.4929512

Quasi-hydrostatic compression of magnesium oxide to 52 GPa: Implications for the pressure-volume-temperature equation of state
journal, January 2001

  • Speziale, Sergio; Zha, Chang-Sheng; Duffy, Thomas S.
  • Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B1
  • DOI: 10.1029/2000JB900318

Electric dipole moments of low J states of H 2 O and D 2 O
journal, September 1973

  • Dyke, Thomas R.; Muenter, J. S.
  • The Journal of Chemical Physics, Vol. 59, Issue 6
  • DOI: 10.1063/1.1680453

Range, Magnitude, and Ultrafast Dynamics of Electric Fields at the Hydrated DNA Surface
journal, August 2016

  • Siebert, Torsten; Guchhait, Biswajit; Liu, Yingliang
  • The Journal of Physical Chemistry Letters, Vol. 7, Issue 16
  • DOI: 10.1021/acs.jpclett.6b01369

A beginner's guide to the modern theory of polarization
journal, November 2012


Phonons and related crystal properties from density-functional perturbation theory
journal, July 2001

  • Baroni, Stefano; de Gironcoli, Stefano; Dal Corso, Andrea
  • Reviews of Modern Physics, Vol. 73, Issue 2
  • DOI: 10.1103/RevModPhys.73.515

Equations of state of FeO and CaO
journal, September 1980


Logarithmic derivative reflectance spectra of BaO and SrO
journal, September 1979


Ab initio Molecular Dynamics in a Finite Homogeneous Electric Field
journal, September 2002


Special points for Brillouin-zone integrations
journal, June 1976

  • Monkhorst, Hendrik J.; Pack, James D.
  • Physical Review B, Vol. 13, Issue 12, p. 5188-5192
  • DOI: 10.1103/PhysRevB.13.5188

Static Dielectric Permittivity of Ice from First Principles
journal, December 2014


Vacancies and small polarons in SrTiO 3
journal, August 2014


Strain-Induced Ferroelectricity in Simple Rocksalt Binary Oxides
journal, January 2010


Positive and negative electrocaloric effect in BaTiO 3 in the presence of defect dipoles
journal, September 2016


Magneto-ionic control of interfacial magnetism
journal, November 2014

  • Bauer, Uwe; Yao, Lide; Tan, Aik Jun
  • Nature Materials, Vol. 14, Issue 2
  • DOI: 10.1038/nmat4134

First-principles calculations for point defects in solids
journal, March 2014

  • Freysoldt, Christoph; Grabowski, Blazej; Hickel, Tilmann
  • Reviews of Modern Physics, Vol. 86, Issue 1
  • DOI: 10.1103/RevModPhys.86.253

Condensed phase ionic polarizabilities from plane wave density functional theory calculations
journal, October 2006

  • Heaton, Robert J.; Madden, Paul A.; Clark, Stewart J.
  • The Journal of Chemical Physics, Vol. 125, Issue 14
  • DOI: 10.1063/1.2357151

Redox-Based Resistive Switching Memories - Nanoionic Mechanisms, Prospects, and Challenges
journal, July 2009

  • Waser, Rainer; Dittmann, Regina; Staikov, Georgi
  • Advanced Materials, Vol. 21, Issue 25-26, p. 2632-2663
  • DOI: 10.1002/adma.200900375

Variational Calculation of the Polarizability of an Electron Trapped by a Point Defect
journal, December 1970


The Dielectric Constant of Barium Oxide
journal, August 1951


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


Predicting point defect equilibria across oxide hetero-interfaces: model system of ZrO 2 /Cr 2 O 3
journal, January 2017

  • Yang, Jing; Youssef, Mostafa; Yildiz, Bilge
  • Physical Chemistry Chemical Physics, Vol. 19, Issue 5
  • DOI: 10.1039/C6CP04997D

Defects in the alkaline earth oxides
journal, November 1968


Thermodynamic stability of binary oxides in contact with silicon
journal, November 1996

  • Hubbard, K. J.; Schlom, D. G.
  • Journal of Materials Research, Vol. 11, Issue 11
  • DOI: 10.1557/JMR.1996.0350

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


In-crystal polarizability of the oxide ion (O2-)
journal, June 1985

  • Fowler, P. W.; Madden, P. A.
  • The Journal of Physical Chemistry, Vol. 89, Issue 12
  • DOI: 10.1021/j100258a031

Consolidation of Partially Stabilized ZrO 2 in the Presence of a Noncontacting Electric Field
journal, May 2015


Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
journal, April 1990


Oxidation energies of transition metal oxides within the GGA + U framework
journal, May 2006


The origin of ferroelectricity in Hf 1−x Zr x O 2 : A computational investigation and a surface energy model
journal, April 2015

  • Materlik, R.; Künneth, C.; Kersch, A.
  • Journal of Applied Physics, Vol. 117, Issue 13
  • DOI: 10.1063/1.4916707

Changes of the crystal structure and the lattice parameter of SrO at high pressure
journal, December 1973

  • Liu, Lin-gun; Bassett, William A.
  • Journal of Geophysical Research, Vol. 78, Issue 35
  • DOI: 10.1029/JB078i035p08470

Band gaps and electronic structure of alkaline-earth and post-transition-metal oxides
journal, June 2010


Voltage-Controlled Nonstoichiometry in Oxide Thin Films: Pr 0.1 Ce 0.9 O 2−δ Case Study
journal, October 2014


First-principles calculations of the ferroelastic transition between rutile-type and CaCl 2 -type SiO 2 at high pressures
journal, October 2008


Electric displacement as the fundamental variable in electronic-structure calculations
journal, February 2009

  • Stengel, Massimiliano; Spaldin, Nicola A.; Vanderbilt, David
  • Nature Physics, Vol. 5, Issue 4
  • DOI: 10.1038/nphys1185

Maximally localized Wannier functions for entangled energy bands
journal, December 2001


Anti-ferrodistortive-Like Oxygen-Octahedron Rotation Induced by the Oxygen Vacancy in Cubic SrTiO 3
journal, October 2012


Uncovering Two Competing Switching Mechanisms for Epitaxial and Ultrathin Strontium Titanate-Based Resistive Switching Bits
journal, October 2015


Giant Electrocaloric Effect in Thin-Film PbZr0.95Ti0.05O3.
journal, June 2006


Lead palladium titanate: A room temperature nanoscale multiferroic thin film
journal, February 2020


Thermodynamic Stability of Binary Oxides in Contact with Silicon
journal, January 1994


Controlling nanowire growth through electric field-induced deformation of the catalyst droplet
text, January 2016

  • Panciera, Federico; Norton, Michael M.; Alam, Sardar B.
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.322

Thermodynamic Stability of Binary Oxides in Contact with Silicon
journal, January 1995


Electric displacement as the fundamental variable in electronic-structure calculations
text, January 2008


Strain-induced ferroelectricity in simple rocksalt binary oxides
text, January 2009


Maximally localized Wannier functions: Theory and applications
text, January 2011


Pseudopotentials for high-throughput DFT calculations
text, January 2013


Positive and negative electrocaloric effect in BaTiO$_3$ in the presence of defect dipoles
text, January 2015


Maximally-localized Wannier functions for entangled energy bands
text, January 2001


Works referencing / citing this record:

Electrolyte-based ionic control of functional oxides
journal, December 2018


Dissociated vacancies and screw dislocations in MgO and UO2: atomistic modeling and linear elasticity analysis
journal, April 2019


Effect of electric field on migration of defects in oxides: Vacancies and interstitials in bulk MgO
journal, August 2018


Field-enhanced route to generating anti-Frenkel pairs in HfO 2
journal, March 2018


Cation deficiency associated with the chemical exfoliation of lithium cobalt oxide
journal, March 2019

  • Pachuta, Kevin G.; Pentzer, Emily B.; Sehirlioglu, Alp
  • Journal of the American Ceramic Society, Vol. 102, Issue 9
  • DOI: 10.1111/jace.16382