Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Pseudopotentials for quantum Monte Carlo studies of transition metal oxides

Journal Article · · Physical Review B

Quantum Monte Carlo (QMC) calculations of transition metal oxides are partially limited by the availability of high-quality pseudopotentials that are both accurate in QMC and compatible with major plane-wave electronic structure codes. We have generated a set of neon-core pseudopotentials with small cutoff radii for the early transition metal elements Sc to Zn within the local density approximation of density functional theory. The pseudopotentials have been directly tested for accuracy within QMC by calculating the first through fourth ionization potentials of the isolated transition metal (M) atoms and the binding curve of each M-O dimer. We find the ionization potentials to be accurate to 0.16(1) eV, on average, relative to experiment. The equilibrium bond lengths of the dimers are within 0.5(1)% of experimental values, on average, and the binding energies are also typically accurate to 0.18(3) eV. The level of accuracy we find for atoms and dimers is comparable to what has recently been observed for bulk metals and oxides using the same pseudopotentials. Our QMC pseudopotential results compare well with the findings of previous QMC studies and benchmark quantum chemical calculations.

Research Organization:
Oak Ridge National Laboratory (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:
1240526
Alternate ID(s):
OSTI ID: 1238706
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 7 Vol. 93; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (105)

Transition Metal Oxides Using Quantum Monte Carlo journal November 2007
The Electronic Spectrum of Gaseous CoO in the Visible Region journal December 1997
Isotope Shifts in the TiO B–X (1–0) Band journal August 2002
Molecular Spectra and Molecular Structure book January 1979
Theoretical study of the first transition row oxides and sulfides journal January 1995
N�herungsmethode zur L�sung des quantenmechanischen Mehrk�rperproblems journal January 1930
Das Bandenspektrum des Manganoxyds journal July 1934
Theoretical study of the first transition row oxides and sulfides journal January 1995
Non-iterative fifth-order triple and quadruple excitation energy corrections in correlated methods journal February 1990
The millimeter-wave spectrum of FeO in its X5Δi state (v = 0): a study of all five spin components journal July 1996
Monte-Carlo solution of Schrödinger's equation journal February 1971
Fourier transform infrared emission spectroscopy of a new A3Πi-X3Σ− system of NiO journal October 1992
Ionization potentials of atoms and ions from hydrogen to zinc: W Lotz,J Opt Soc Amer, 57 (7), 1967, 873–878. [abstract] journal December 1967
Reactions of ground state Cr+ with C2H6, C2H4, cyclo-C3H6, and cyclo-C2H4O: bond energies for CrCH+n (n = 1–3) journal January 1989
Single collision chemiluminescence studies of scandium and yttrium oxidation with O2, NO2, N2O and O3 journal January 1977
A quantum Monte Carlo study of electron correlation in transition metal oxygen molecules journal March 2003
A fifth-order perturbation comparison of electron correlation theories journal May 1989
Accurate pseudopotential description of the GW bandstructure of ZnO journal September 2011
Nexus: A modular workflow management system for quantum simulation codes journal January 2016
The pure rotational spectrum of CoO(X4Δi): Identifying the high-spin components journal October 2005
Quantum Monte Carlo ionization potential and electron affinity for transition metal atoms journal February 2013
The pure rotational spectrum of ZnO in the X1Σ+ and a3Πi states journal August 2009
High temperature mass spectrometric studies of the bond energies of gas-phase zinc oxide, nickel oxide, and copper(II) oxide journal May 1993
Electronic Structure of Vanadium Oxide. Neutral and Charged Species, VO 0,± journal March 2007
Electronic Structure and Bonding of Cobalt Monoxide, CoO, and Its Ions CoO + and CoO : An Ab Initio Study journal May 2012
Electronic Structure and Bonding of the Early 3d-Transition Metal Diatomic Oxides and Their Ions: ScO 0,± , TiO 0,± , CrO 0,± , and MnO 0,± journal August 2010
Reactions of Laser-Ablated Nickel Atoms with Dioxygen. Infrared Spectra and Density Functional Calculations of Nickel Oxides NiO, ONiO, Ni 2 O 2 , and Ni 2 O 3 , Superoxide NiOO, Peroxide Ni(O 2 ), and Higher Complexes in Solid Argon journal April 1997
Molecular Spectra and Molecular Structure journal October 1929
Molecular Spectra and Molecular Structure journal November 1929
Experimental and theoretical study on the reaction Sc + NO → ScO + NPresented at the XIX International Symposium on Molecular Beams, Rome, 3–8 June, 2001. journal January 2002
The Sc+NO→ScO+N reaction: Rotational state distribution in ScOX 2Σ+(v″=0) journal December 2001
Hybrid functionals based on a screened Coulomb potential journal May 2003
Iron monoxide photodissociation journal February 2005
Smooth relativistic Hartree–Fock pseudopotentials for H to Ba and Lu to Hg journal May 2005
A comprehensive review of ZnO materials and devices journal August 2005
Guided ion-beam studies of the reactions of Con+ (n=2–20) with O2: Cobalt cluster-oxide and -dioxide bond energies journal August 2005
Erratum: “Hybrid functionals based on a screened Coulomb potential” [J. Chem. Phys. 118, 8207 (2003)] journal June 2006
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
Energetics and dipole moment of transition metal monoxides by quantum Monte Carlo journal January 2007
Energy-consistent pseudopotentials for quantum Monte Carlo calculations journal June 2007
Energy-consistent small-core pseudopotentials for 3d-transition metals adapted to quantum Monte Carlo calculations journal October 2008
The Spectrum of Molecular Oxygen journal April 1972
First principles study of the ground and excited states of FeO, FeO + , and FeO journal June 2011
A random‐walk simulation of the Schrödinger equation: H + 3 journal August 1975
Quantum chemistry by random walk. H 2 P , H + 3 D 3 h 1 A1 , H 2 3 Σ + u , H 4 1 Σ + g , Be 1 S journal November 1976
Laser fluorescence detection of nascent product state distributions in reactions of Sc and Y with O2, NO, and SO2 journal January 1977
Thermochemical properties of the gaseous molecules VO, VO 2 , and V 2 O 4 journal December 1983
Ab initio effective core potentials for molecular calculations. Potentials for K to Au including the outermost core orbitals journal January 1985
A b i n i t i o relativistic effective potentials with spin‐orbit operators. II. K through Kr journal June 1986
Reaction of Sc + , Ti + , and V + with CO. MC + and MO + bond energies journal September 1991
Nonlocal pseudopotentials and diffusion Monte Carlo journal September 1991
Reaction of Zn + with NO 2 . The gas‐phase thermochemistry of ZnO journal November 1991
Coupled cluster theory for high spin, open shell reference wave functions journal October 1993
Mass selected anion-zero kinetic energy photoelectron spectroscopy (anion-ZEKE): Ground and low excited states of FeO journal August 1997
A comparison of ZnO and ZnO− journal November 1998
Ionization potentials and bond energies of TiO, ZrO, NbO and MoO journal November 1998
First principles exploration of NiO and its ions NiO + and NiO journal February 2013
Correlated electron pseudopotentials for 3d-transition metals journal February 2015
Structural stability and defect energetics of ZnO from diffusion quantum Monte Carlo journal April 2015
Many-body ab initio diffusion quantum Monte Carlo applied to the strongly correlated oxide NiO journal October 2015
The A   \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage[OT2,OT1]{fontenc} \newcommand\cyr{ \renewcommand\rmdefault{wncyr} \renewcommand\sfdefault{wncyss} \renewcommand\encodingdefault{OT2} \normalfont \selectfont} \DeclareTextFontCommand{\textcyr}{\cyr} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \landscape $^{3}\Phi $ \end{document} – X   \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage[OT2,OT1]{fontenc} \newcommand\cyr{ \renewcommand\rmdefault{wncyr} \renewcommand\sfdefault{wncyss} \renewcommand\encodingdefault{OT2} \normalfont \selectfont} \DeclareTextFontCommand{\textcyr}{\cyr} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \landscape $^{3}\Delta $ \end{document} System (γ Bands) of TiO: Laboratory and Sunspot Measurements journal May 1999
Rotational Rest Frequencies for CrO ( X 5 Π r ) and CrN ( X 4 Σ ) journal September 2002
Transition metal oxides using quantum Monte Carlo journal July 2007
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
The quasiparticle band structure of zincblende and rocksalt ZnO journal March 2010
Hybrid algorithms in quantum Monte Carlo journal December 2012
Inhomogeneous Electron Gas journal November 1964
Ground State of Liquid He 4 journal April 1965
New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem journal August 1965
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Many-Body Problem with Strong Forces journal June 1955
Quantum Monte Carlo calculation of the Fe atom journal June 1994
Self-interaction correction to density-functional approximations for many-electron systems journal May 1981
Optimized pseudopotentials journal January 1990
Efficient pseudopotentials for plane-wave calculations journal January 1991
Pseudopotentials for correlated-electron calculations journal November 2000
Efficient localized basis set for quantum Monte Carlo calculations on condensed matter journal October 2004
Beyond the locality approximation in the standard diffusion Monte Carlo method journal October 2006
Compression curves of transition metals in the Mbar range: Experiments and projector augmented-wave calculations journal September 2008
Wave functions for quantum Monte Carlo calculations in solids: Orbitals from density functional theory with hybrid exchange-correlation functionals journal September 2010
Importance of high-angular-momentum channels in pseudopotentials for quantum Monte Carlo journal September 2014
Effect of electron correlation on the electronic structure and spin-lattice coupling of high- T c cuprates: Quantum Monte Carlo calculations journal September 2014
Quantum Monte Carlo Calculations of Structural Properties of FeO Under Pressure journal October 2008
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Damped-Core Quantum Monte Carlo Method: Effective Treatment for Large- Z Systems journal November 1988
Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions journal March 2007
Ab initio Quantum Monte Carlo Calculations of Spin Superexchange in Cuprates: The Benchmarking Case of Ca 2 CuO 3 journal July 2014
Quantum Monte Carlo simulations of solids journal January 2001
Electrodynamics of correlated electron materials journal June 2011
Inhomogeneous Electron Gas journal March 1973
Atomic displacement, anharmonic thermal vibration, expansivity and pyroelectric coefficient thermal dependences in ZnO journal February 1989
The anisotropy of the thermal expansion of α-titanium journal March 1968
The Jackknife, the Bootstrap and Other Resampling Plans book January 1982
Laser-induced fluorescence and discharge emission spectra of CrO. Rotational analysis of the A 5 Π– X 5 Π transition journal April 1980
Rotational and hyperfine structure in the A 6 Σ +X 6 Σ + electronic transition of MnO journal May 1980
Relativistic compact effective potentials and efficient, shared-exponent basis sets for the third-, fourth-, and fifth-row atoms journal February 1992
THE DIFFUSION QUANTUM MONTE CARLO METHOD: DESIGNING TRIAL WAVE FUNCTIONS FOR NiO conference November 2011
THE DIFFUSION QUANTUM MONTE CARLO METHOD: DESIGNING TRIAL WAVE FUNCTIONS FOR NiO journal November 2003
Spectroscopy of the Diatomic 3d Transition Metal Oxides journal October 1989
Ionization Potentials of Atoms and Ions from Hydrogen to Zinc* journal January 1967
Quantum Monte Carlo Studies of Transition Metal Oxides journal January 2010
Ab initio quantum Monte Carlo calculations of spin superexchange in cuprates: the benchmarking case of Ca$_2$CuO$_3$ text January 2014
Correlated Electron Pseudopotentials for 3d-Transition Metals text January 2015
An efficient localized basis set for quantum Monte Carlo calculations on condensed matter text January 2004
Alleviation of the Fermion-sign problem by optimization of many-body wave functions text January 2006

Cited By (16)

Quantum Monte Carlo analysis of a charge ordered insulating antiferromagnet: the Ti 4 O 7 Magnéli phase journal January 2016
Cohesive energy and structural parameters of binary oxides of groups IIA and IIIB from diffusion quantum Monte Carlo journal May 2016
Quantitative estimation of localization errors of 3 d transition metal pseudopotentials in diffusion Monte Carlo journal July 2017
Diffusion quantum Monte Carlo and density functional calculations of the structural stability of bilayer arsenene journal June 2018
An efficient hybrid orbital representation for quantum Monte Carlo calculations journal August 2018
A new generation of effective core potentials from correlated calculations: 3d transition metal series journal October 2018
A new scheme for fixed node diffusion quantum Monte Carlo with pseudopotentials: Improving reproducibility and reducing the trial-wave-function bias journal October 2019
Screened range-separated hybrid by balancing the compact and slowly varying density regimes: Satisfaction of local density linear response journal January 2020
QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids journal April 2018
Phase stability of TiO 2 polymorphs from diffusion Quantum Monte Carlo journal November 2016
Local structure of potassium doped nickel oxide: A combined experimental-theoretical study journal November 2019
Structural, electronic, and magnetic properties of bulk and epitaxial LaCoO 3 through diffusion Monte Carlo journal December 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
New generation of effective core potentials from correlated calculations: 3d transition metal series text January 2018
An efficient hybrid orbital representation for quantum Monte Carlo calculations text January 2018

Similar Records

Energy-consistent pseudopotentials for quantum Monte Carlo calculations
Journal Article · Thu Jun 21 00:00:00 EDT 2007 · Journal of Chemical Physics · OSTI ID:22304523

Influence of pseudopotentials on excitation energies from selected configuration interaction and diffusion Monte Carlo
Journal Article · Mon Dec 31 23:00:00 EST 2018 · Results in Chemistry · OSTI ID:1529010