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Title: Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian

Abstract

While first-principles density functional theory (DFT)-based models have been effective in capturing the physics of ferroelectric phase transitions in BaTiO3, PbTiO3, and KNbO3, quantitative estimates of the transition temperatures (TC) have errors that are believed to originate from the errors in estimating lattice constants obtained within the local density approximation (LDA) and generalized gradient approximation (GGA) of DFT. The recently developed strongly constrained and appropriately normed (SCAN) meta-GGA functional has been shown to be quite accurate in the estimation of lattice constants. Here, we present a quantitative analysis of the estimates of ferroelectric ground-state properties of eight perovskite oxides and transition temperatures of BaTiO3, PbTiO3, and KNbO3 obtained with molecular dynamics simulations using an effective Hamiltonian derived from the SCAN meta-GGA-based DFT. Relative to LDA, we find an improvement in the estimates of TC, which arises from the changes in the calculated strain-phonon, anharmonic coupling constants, and strength of ferroelectric instabilities, i.e., frequencies of the soft modes. We also assess the errors in TC originating from approximately integrating out the high-energy phonons during construction of the model Hamiltonian through estimates of the effects of fourth-order couplings between the soft mode and higher-energy modes of BaTiO3, PbTiO3, and KNbO3. We findmore » that inclusion of these anharmonic couplings results in deeper double-well energy functions of ferroelectric distortions and further improvement in the estimates of transition temperatures. Consistently improved estimates of lattice constants and transition temperatures with the SCAN meta-GGA calculations augur well for their use in simulations of superlattices or heterostructures of perovskite oxides, in which the effects of lattice matching are critical.« less

Authors:
 [1];  [2];  [3];  [1]
  1. Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India)
  2. Univ. of Texas at El Paso, TX (United States)
  3. Temple Univ., Philadelphia, PA (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for the Computational Design of Functional Layered Materials (CCDM)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1388089
Alternate Identifier(s):
OSTI ID: 1344003
Grant/Contract Number:  
SC0012575
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; 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; 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; catalysis (heterogeneous), solar (photovoltaic), energy storage (including batteries and capacitors), hydrogen and fuel cells, defects, mechanical behavior, materials and chemistry by design, synthesis (novel materials)

Citation Formats

Paul, Arpita, Sun, Jianwei, Perdew, John P., and Waghmare, Umesh V. Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.054111.
Paul, Arpita, Sun, Jianwei, Perdew, John P., & Waghmare, Umesh V. Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian. United States. doi:10.1103/PhysRevB.95.054111.
Paul, Arpita, Sun, Jianwei, Perdew, John P., and Waghmare, Umesh V. Wed . "Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian". United States. doi:10.1103/PhysRevB.95.054111. https://www.osti.gov/servlets/purl/1388089.
@article{osti_1388089,
title = {Accuracy of first-principles interatomic interactions and predictions of ferroelectric phase transitions in perovskite oxides: Energy functional and effective Hamiltonian},
author = {Paul, Arpita and Sun, Jianwei and Perdew, John P. and Waghmare, Umesh V.},
abstractNote = {While first-principles density functional theory (DFT)-based models have been effective in capturing the physics of ferroelectric phase transitions in BaTiO3, PbTiO3, and KNbO3, quantitative estimates of the transition temperatures (TC) have errors that are believed to originate from the errors in estimating lattice constants obtained within the local density approximation (LDA) and generalized gradient approximation (GGA) of DFT. The recently developed strongly constrained and appropriately normed (SCAN) meta-GGA functional has been shown to be quite accurate in the estimation of lattice constants. Here, we present a quantitative analysis of the estimates of ferroelectric ground-state properties of eight perovskite oxides and transition temperatures of BaTiO3, PbTiO3, and KNbO3 obtained with molecular dynamics simulations using an effective Hamiltonian derived from the SCAN meta-GGA-based DFT. Relative to LDA, we find an improvement in the estimates of TC, which arises from the changes in the calculated strain-phonon, anharmonic coupling constants, and strength of ferroelectric instabilities, i.e., frequencies of the soft modes. We also assess the errors in TC originating from approximately integrating out the high-energy phonons during construction of the model Hamiltonian through estimates of the effects of fourth-order couplings between the soft mode and higher-energy modes of BaTiO3, PbTiO3, and KNbO3. We find that inclusion of these anharmonic couplings results in deeper double-well energy functions of ferroelectric distortions and further improvement in the estimates of transition temperatures. Consistently improved estimates of lattice constants and transition temperatures with the SCAN meta-GGA calculations augur well for their use in simulations of superlattices or heterostructures of perovskite oxides, in which the effects of lattice matching are critical.},
doi = {10.1103/PhysRevB.95.054111},
journal = {Physical Review B},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {2}
}

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    Works referencing / citing this record:

    Enhancing the efficiency of density functionals with an improved iso-orbital indicator
    journal, January 2019


    Polarization fluctuations in the perovskite-structured ferroelectric AgNb O 3
    journal, June 2018