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Title: Local structure and its implications for the relaxor ferroelectric Cd 2 Nb 2 O 7

Abstract

The relaxor ferroelectric transition in Cd2Nb2O7 is thought to be described by the unusual condensation of two Γ-centered phonon modes, $$Γ^–_4$$ and $$Γ^–_5$$. However, their respective roles have proven to be ambiguous, with disagreement between ab initio studies, which favor $$Γ^–_4$$ as the primary mode, and global crystal refinements, which point to $$Γ^–_5$$ instead. Here, we resolve this issue by demonstrating from x-ray pair distribution function measurements that locally, $$Γ^–_4$$ dominates, but globally, $$Γ^–_5$$ dominates. This behavior is consistent with the near degeneracy of the energy surfaces associated with these two distortion modes found in our own ab initio simulations. Our first-principles calculations also show that these energy surfaces are almost isotropic, providing an explanation for the numerous structural transitions found in Cd2Nb2O7, as well as its relaxor behavior. Our results point to several candidate descriptions of the local structure, some of which demonstrate two-in/two-out behavior for Nb displacements within a given Nb tetrahedron. Although this suggests the possibility of a charge analog of spin ice in Cd2Nb2O7, our results are more consistent with a Heisenberg-like description for dipolar fluctuations rather than an Ising one. We hope this encourages future experimental investigations of the Nb and Cd dipolar fluctuations, along with their associated mode dynamics.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
National Science Foundation (NSF); Bates College; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; European Research Council (ERC); European Union (EU); Swiss National Science Foundation (SNF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1885603
Alternate Identifier(s):
OSTI ID: 1905069; OSTI ID: 1922724
Report Number(s):
BNL-223947-2023-JAAM
Journal ID: ISSN 2643-1564; PPRHAI; 033187
Grant/Contract Number:  
SC0012704; AC02-06CH11357; DMR-2011208; DMR-1904980; 810451
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 4 Journal Issue: 3; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; ferroelectricity; pyrochlores; relaxor ferroelectrics; density functional calculations; density functional theory; x-ray pair-distribution function analysis

Citation Formats

Hickox-Young, Daniel, Laurita, Geneva, Meier, Quintin N., Olds, Daniel, Spaldin, Nicola A., Norman, Michael R., and Rondinelli, James M. Local structure and its implications for the relaxor ferroelectric Cd 2 Nb 2 O 7. United States: N. p., 2022. Web. doi:10.1103/PhysRevResearch.4.033187.
Hickox-Young, Daniel, Laurita, Geneva, Meier, Quintin N., Olds, Daniel, Spaldin, Nicola A., Norman, Michael R., & Rondinelli, James M. Local structure and its implications for the relaxor ferroelectric Cd 2 Nb 2 O 7. United States. https://doi.org/10.1103/PhysRevResearch.4.033187
Hickox-Young, Daniel, Laurita, Geneva, Meier, Quintin N., Olds, Daniel, Spaldin, Nicola A., Norman, Michael R., and Rondinelli, James M. Tue . "Local structure and its implications for the relaxor ferroelectric Cd 2 Nb 2 O 7". United States. https://doi.org/10.1103/PhysRevResearch.4.033187.
@article{osti_1885603,
title = {Local structure and its implications for the relaxor ferroelectric Cd 2 Nb 2 O 7},
author = {Hickox-Young, Daniel and Laurita, Geneva and Meier, Quintin N. and Olds, Daniel and Spaldin, Nicola A. and Norman, Michael R. and Rondinelli, James M.},
abstractNote = {The relaxor ferroelectric transition in Cd2Nb2O7 is thought to be described by the unusual condensation of two Γ-centered phonon modes, $Γ^–_4$ and $Γ^–_5$. However, their respective roles have proven to be ambiguous, with disagreement between ab initio studies, which favor $Γ^–_4$ as the primary mode, and global crystal refinements, which point to $Γ^–_5$ instead. Here, we resolve this issue by demonstrating from x-ray pair distribution function measurements that locally, $Γ^–_4$ dominates, but globally, $Γ^–_5$ dominates. This behavior is consistent with the near degeneracy of the energy surfaces associated with these two distortion modes found in our own ab initio simulations. Our first-principles calculations also show that these energy surfaces are almost isotropic, providing an explanation for the numerous structural transitions found in Cd2Nb2O7, as well as its relaxor behavior. Our results point to several candidate descriptions of the local structure, some of which demonstrate two-in/two-out behavior for Nb displacements within a given Nb tetrahedron. Although this suggests the possibility of a charge analog of spin ice in Cd2Nb2O7, our results are more consistent with a Heisenberg-like description for dipolar fluctuations rather than an Ising one. We hope this encourages future experimental investigations of the Nb and Cd dipolar fluctuations, along with their associated mode dynamics.},
doi = {10.1103/PhysRevResearch.4.033187},
journal = {Physical Review Research},
number = 3,
volume = 4,
place = {United States},
year = {Tue Sep 06 00:00:00 EDT 2022},
month = {Tue Sep 06 00:00:00 EDT 2022}
}

Works referenced in this record:

Structural magnetic glassiness in the spin ice Dy2Ti2O7
journal, August 2022


Lone pairs in insulating pyrochlores: Ice rules and high-k behavior
journal, March 2006


The ferroelectric properties of Cd 2 Nb 2 O 7 : a Monte Carlo simulation study
journal, May 2011


Structure and stability of Cd 2 Nb 2 O 7 and Cd 2 Ta 2 O 7 explored by ab initio calculations
journal, July 2008


Projector augmented-wave method
journal, December 1994


Polar Nanodomains in a Ferroelectric Superconductor
journal, August 2020


The crystal structure of Cd 2 Nb 2 O 7 : symmetry mode analysis of the ferroelectric phase
journal, April 2010


PDFgetX3 : a rapid and highly automatable program for processing powder diffraction data into total scattering pair distribution functions
journal, March 2013


Goldstone-Mode Phonon Dynamics in the Pyrochlore Cd 2 Re 2 O 7
journal, September 2005


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


GSAS-II : the genesis of a modern open-source all purpose crystallography software package
journal, March 2013


Topological Point Defects in Relaxor Ferroelectrics
journal, March 2016


Thermodynamics of Ferroelectric Solid Solutions with Morphotropic Phase Boundaries
journal, May 2014

  • Heitmann, Adam A.; Rossetti, George A.
  • Journal of the American Ceramic Society, Vol. 97, Issue 6
  • DOI: 10.1111/jace.12979

Manifestation of structural Higgs and Goldstone modes in the hexagonal manganites
journal, July 2020


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


PDFfit2 and PDFgui: computer programs for studying nanostructure in crystals
journal, July 2007


Supercooled spin liquid state in the frustrated pyrochlore Dy 2 Ti 2 O 7
journal, June 2015

  • Kassner, Ethan R.; Eyvazov, Azar B.; Pichler, Benjamin
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 28
  • DOI: 10.1073/pnas.1511006112

The relation of local order to material properties in relaxor ferroelectrics
journal, June 2018


Landau theory of topological defects in multiferroic hexagonal manganites
journal, October 2013

  • Artyukhin, Sergey; Delaney, Kris T.; Spaldin, Nicola A.
  • Nature Materials, Vol. 13, Issue 1
  • DOI: 10.1038/nmat3786

Covalency-driven Structural Evolution in the Polar Pyrochlore Series Cd 2 Nb 2 O 7– x S x
journal, August 2019


Common glass-forming spin-liquid state in the pyrochlore magnets Dy 2 Ti 2 O 7 and Ho 2 Ti 2 O 7
journal, December 2018


Neutron scattering lengths and cross sections
journal, January 1992


X-ray scattering studies of structural phase transitions in pyrochlore Cd2Nb2O7
journal, October 2013


Relaxing with relaxors: a review of relaxor ferroelectrics
journal, April 2011


Harnessing interpretable and unsupervised machine learning to address big data from modern X-ray diffraction
journal, June 2022

  • Venderley, Jordan; Mallayya, Krishnanand; Matty, Michael
  • Proceedings of the National Academy of Sciences, Vol. 119, Issue 24
  • DOI: 10.1073/pnas.2109665119

Annular dynamical disorder of the rare earth ions in a La2Zr2O7 pyrochlore via single crystal synchrotron X-ray diffraction
journal, January 2001

  • Tabira, Y.; Withers, R. L.; Yamada, T.
  • Zeitschrift für Kristallographie - Crystalline Materials, Vol. 216, Issue 2
  • DOI: 10.1524/zkri.216.2.92.20338

Discovery of a low-temperature orthorhombic phase of the Cd2Re2O7 superconductor
journal, July 2020


Phase transitions sequence in pyrochlore Cd2Nb2O7 studied by IR reflectivity
journal, January 2001

  • Buixaderas, E.; Kamba, S.; Petzelt, J.
  • The European Physical Journal B, Vol. 19, Issue 1
  • DOI: 10.1007/s100510170344

Optical and electric investigations of the phase transitions in pyrochlore Cd 2 Nb 2 O 7
journal, December 1991


Leggett Modes Accompanying Crystallographic Phase Transitions
journal, February 2022