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Title: Structural stability and defect energetics of ZnO from diffusion quantum Monte Carlo

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4919242· OSTI ID:1185536
ORCiD logo [1];  [1];  [1];  [2];  [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division, Center for Nanophase Materials Sciences, and Computer Science and Mathematics Division

We have applied the many-body ab-initio diffusion quantum Monte Carlo (DMC) method to study Zn and ZnO crystals under pressure, and the energetics of the oxygen vacancy, zinc interstitial and hydrogen impurities in ZnO. We show that DMC is an accurate and practical method that can be used to characterize multiple properties of materials that are challenging for density functional theory approximations. DMC agrees with experimental measurements to within 0.3 eV, including the band-gap of ZnO, the ionization potential of O and Zn, and the atomization energy of O2, ZnO dimer, and wurtzite ZnO. DMC predicts the oxygen vacancy as a deep donor with a formation energy of 5.0(2) eV under O-rich conditions and thermodynamic transition levels located between 1.8 and 2.5 eV from the valence band maximum. Our DMC results indicate that the concentration of zinc interstitial and hydrogen impurities in ZnO should be low under n-type, and Zn- and H-rich conditions because these defects have formation energies above 1.4 eV under these conditions. Comparison of DMC and hybrid functionals shows that these DFT approximations can be parameterized to yield a general correct qualitative description of ZnO. However, the formation energy of defects in ZnO evaluated with DMC and hybrid functionals can differ by more than 0.5 eV.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1185536
Alternate ID(s):
OSTI ID: 1228606
Journal Information:
Journal of Chemical Physics, Vol. 142, Issue 16; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 50 works
Citation information provided by
Web of Science

References (110)

Size-consistent variational approaches to nonlocal pseudopotentials: Standard and lattice regularized diffusion Monte Carlo methods revisited journal April 2010
On the dissociation energy of O 2 and the energy of the O 2 + b4 Σ g state journal November 1992
Quantum Monte Carlo Calculations of Structural Properties of FeO Under Pressure journal October 2008
Projector augmented-wave method journal December 1994
Hybrid functionals based on a screened Coulomb potential journal May 2003
Bulk moduli of wurtzite, zinc-blende, and rocksalt phases of ZnO from chemical bond method and density functional theory journal March 2008
Quantum Monte Carlo Studies of Transition Metal Oxides journal January 2010
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Ab initio Quantum Monte Carlo Calculations of Spin Superexchange in Cuprates: The Benchmarking Case of Ca 2 CuO 3 journal July 2014
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Periodic boundary conditions in ab initio calculations journal February 1995
Nonlocal pseudopotentials and diffusion Monte Carlo journal September 1991
Oxygen vacancy and E C − 1 eV electron trap in ZnO journal October 2014
Hydrogen as a Cause of Doping in Zinc Oxide journal July 2000
Assessment of correction methods for the band-gap problem and for finite-size effects in supercell defect calculations: Case studies for ZnO and GaAs journal December 2008
The pure rotational spectrum of ZnO in the X1Σ+ and a3Πi states journal August 2009
Electronic structure of defects and doping in ZnO: Oxygen vacancy and nitrogen doping: Oxygen vacancy and nitrogen doping in ZnO journal August 2013
Ab initiomolecular dynamics for liquid metals journal January 1993
From the computer to the laboratory: materials discovery and design using first-principles calculations journal May 2012
Fundamental High-Pressure Calibration from All-Electron Quantum Monte Carlo Calculations journal May 2010
Electronic properties of vacancy related defects in ZnO induced by mechanical polishing journal September 2011
Characteristics of point defects in the green luminescence from Zn- and O-rich ZnO journal September 2012
Accuracy of quantum Monte Carlo methods for point defects in solids journal August 2010
The Harvard Clean Energy Project: Large-Scale Computational Screening and Design of Organic Photovoltaics on the World Community Grid journal August 2011
Schottky defect formation energy in MgO calculated by diffusion Monte Carlo journal June 2005
The Computational Materials Repository journal November 2012
Point defects in ZnO: an approach from first principles journal June 2011
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Perspective: Fifty years of density-functional theory in chemical physics journal May 2014
First-principles calculations for point defects in solids journal March 2014
Role of Si and Ge as impurities in ZnO journal November 2009
Vacancy defects in (Zn, Mn)O journal July 2007
Optimization of quantum Monte Carlo wave functions by energy minimization journal February 2007
Importance of high-angular-momentum channels in pseudopotentials for quantum Monte Carlo journal September 2014
Applications of quantum Monte Carlo methods in condensed systems journal January 2011
Geminal wave functions with Jastrow correlation: A first application to atoms journal October 2003
Calculation of Formation Energy of Oxygen Vacancy in ZnO Based on Photoluminescence Measurements journal June 2010
Towards an exact description of electronic wavefunctions in real solids journal December 2012
Evidences of V O , V Z n , and O i defects as the green luminescence origins in ZnO journal December 2013
Rich Variety of Defects in ZnO via an Attractive Interaction between O Vacancies and Zn Interstitials: Origin of n -Type Doping journal February 2009
A comparison of ZnO and ZnO− journal November 1998
Optimized pseudopotentials journal January 1990
Defects in ZnO journal October 2009
Beyond the locality approximation in the standard diffusion Monte Carlo method journal October 2006
First-principles calculation of the O vacancy in ZnO: A self-consistent gap-corrected approach journal May 2008
New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field journal October 1993
Structural properties and enthalpy of formation of magnesium hydride from quantum Monte Carlo calculations journal March 2008
Which electronic structure method for the study of defects: A commentary journal August 2010
Observation of Zn vacancies in ZnO grown by chemical vapor transport journal March 2006
Quantum Monte Carlo simulations of solids journal January 2001
Critical evaluation of the LDA + U approach for band gap corrections in point defect calculations: The oxygen vacancy in ZnO case study journal September 2010
Equation of state of hexagonal closed packed iron under Earth’s core conditions from quantum Monte Carlo calculations journal January 2009
Twist-averaged boundary conditions in continuum quantum Monte Carlo algorithms journal June 2001
Infrared dielectric functions and phonon modes of high-quality ZnO films journal January 2003
Accurate pseudopotential description of the GW bandstructure of ZnO journal September 2011
The high-throughput highway to computational materials design journal February 2013
Correlated geminal wave function for molecules: An efficient resonating valence bond approach journal October 2004
Properties of the oxygen vacancy in ZnO journal April 2007
Advances in electronic structure methods for defects and impurities in solids journal November 2010
Basis set limit electronic excitation energies, ionization potentials, and electron affinities for the 3d transition metal atoms: Coupled cluster and multireference methods journal August 2006
QWalk: A quantum Monte Carlo program for electronic structure journal May 2009
Computing the energy of a water molecule using multideterminants: A simple, efficient algorithm journal December 2011
Defect energetics in ZnO: A hybrid Hartree-Fock density functional study journal June 2008
Compression curves of transition metals in the Mbar range: Experiments and projector augmented-wave calculations journal September 2008
Finite-Size Error in Many-Body Simulations with Long-Range Interactions journal August 2006
Native point defects in ZnO journal October 2007
Functional Ion Defects in Transition Metal Oxides journal August 2013
Finite-size errors in continuum quantum Monte Carlo calculations journal September 2008
Energetics of intrinsic defects and their complexes in ZnO investigated by density functional calculations journal January 2011
Excited state calculations in solids by auxiliary-field quantum Monte Carlo journal September 2013
Valence-band ordering in ZnO journal July 1999
Inverted equations of state for solids under high pressures journal September 2011
Fundamentals of zinc oxide as a semiconductor journal October 2009
Carbon as a Shallow Donor in Transparent Conducting Oxides journal December 2014
Quantum Monte Carlo for Ab Initio calculations of energy-relevant materials journal August 2013
The energy and elastic dipole tensor of defects in ionic crystals calculated by the supercell method journal February 1985
Transferable relativistic Dirac-Slater pseudopotentials journal July 2000
Intrinsic defects in ZnO calculated by screened exchange and hybrid density functionals journal March 2010
Hybrid algorithms in quantum Monte Carlo journal December 2012
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Materials Design and Discovery with High-Throughput Density Functional Theory: The Open Quantum Materials Database (OQMD) journal September 2013
Atomic displacement, anharmonic thermal vibration, expansivity and pyroelectric coefficient thermal dependences in ZnO journal February 1989
Calculation of the lattice constant of hexagonal compounds with two dimensional search of equation of state and with semilocal functionals a new package (2D-optimize) journal April 2013
Review of zincblende ZnO: Stability of metastable ZnO phases journal October 2007
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Quantum Monte Carlo and Related Approaches journal December 2011
Evolution of deep electronic states in ZnO during heat treatment in oxygen- and zinc-rich ambients journal March 2012
Quantum Monte Carlo study of high-pressure cubic TiO 2 journal June 2012
Evidence for Native-Defect Donors in n -Type ZnO journal November 2005
First-principles study of intrinsic point defects in ZnO: Role of band structure, volume relaxation, and finite-size effects journal May 2006
A comprehensive review of ZnO materials and devices journal August 2005
Point defects in ZnO: Electron paramagnetic resonance study journal December 2009
Continuum variational and diffusion quantum Monte Carlo calculations journal December 2009
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
Electronic structure of defects and doping in ZnO: Oxygen vacancy and nitrogen doping journal October 2013
QWalk: A Quantum Monte Carlo Program for Electronic Structure preprint January 2007
Finite-size correction in many-body electronic structure calculations text January 2007
Self-healing diffusion quantum Monte Carlo algorithms: methods for direct reduction of the fermion sign error in electronic structure calculations text January 2008
Manybody GW calculation of the oxygen vacancy in ZnO text January 2009
Size-consistent variational approaches to non-local pseudopotentials: standard and lattice regularized diffusion Monte Carlo methods revisited text January 2010
Computing the energy of a water molecule using MultiDeterminants: A simple, efficient algorithm text January 2011
Oxygen vacancy and EC - 1 eV electron trap in ZnO text January 2014
Equations of state and stability of MgSiO$_3$ perovskite and post-perovskite phases from quantum Monte Carlo simulations text January 2014
Correlated geminal wave function for molecules: an efficient resonating valence bond approach text January 2004
Anion vacancies as a source of persistent photoconductivity in II-VI and chalcopyrite semiconductors text January 2005
The Finite Size Error in Many-body Simulations with long-Ranged Interactions text January 2006
Finite size errors in quantum many-body simulations of extended systems text January 1998
Transferable relativistic Dirac-Slater pseudopotentials text January 1999

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Computationally predicted energies and properties of defects in GaN journal March 2017
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Many-body ab initio diffusion quantum Monte Carlo applied to the strongly correlated oxide NiO journal October 2015
Magnitude of pseudopotential localization errors in fixed node diffusion quantum Monte Carlo journal June 2017
Quantitative estimation of localization errors of 3 d transition metal pseudopotentials in diffusion Monte Carlo journal July 2017
Screened range-separated hybrid by balancing the compact and slowly varying density regimes: Satisfaction of local density linear response journal January 2020
Discovering correlated fermions using quantum Monte Carlo journal August 2016
Quantum vortex melting and superconductor insulator transition in a 2D Josephson junction array in a perpendicular magnetic field via diffusion Monte Carlo journal August 2018
Phase stability of TiO 2 polymorphs from diffusion Quantum Monte Carlo journal November 2016
Fixed-node diffusion Monte Carlo description of nitrogen defects in zinc oxide journal February 2017
Electronic properties of doped and defective NiO: A quantum Monte Carlo study journal December 2017
Defect energetics of cubic hafnia from quantum Monte Carlo simulations journal July 2019
Towards a systematic assessment of errors in diffusion Monte Carlo calculations of semiconductors: Case study of zinc selenide and zinc oxide journal December 2015
Cohesive energy and structural parameters of binary oxides of groups IIA and IIIB from diffusion quantum Monte Carlo journal May 2016
Structural, electronic, and magnetic properties of bulk and epitaxial LaCoO 3 through diffusion Monte Carlo journal December 2019
Variational Excitations in Real Solids: Optical Gaps and Insights into Many-Body Perturbation Theory journal July 2019
Cohesive energy and structural parameters of binary oxides of groups IIA and IIIB from diffusion quantum Monte Carlo text January 2016
QMCPACK : An open source ab initio Quantum Monte Carlo package for the electronic structure of atoms, molecules, and solids text January 2018
Defect energetics of cubic hafnia from quantum Monte Carlo simulations text January 2019

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