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Title: Removing Basis Set Incompleteness Error in Finite-Temperature Electronic Structure Calculations: Two-Electron Systems

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory

Not Available

Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0021317
OSTI ID:
2478735
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Journal Name: Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory Journal Issue: 49 Vol. 128; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (80)

Ab Initio Thermochemistry of Solid-State Materials journal June 2010
On the eigenfunctions of many-particle systems in quantum mechanics journal January 1957
The uniform electron gas: The uniform electron gas journal April 2016
r 12-Dependent terms in the wave function as closed sums of partial wave amplitudes for large l journal December 1985
Finite-temperature full configuration interaction journal April 2014
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Basis-set convergence of the energy in molecular Hartree–Fock calculations journal March 1999
General solution to the Kohn–Luttinger nonconvergence problem journal August 2022
Resolving the partition function’s paradox of the hydrogen atom journal November 2019
The Sign Problem in Density Matrix Quantum Monte Carlo journal September 2021
How the Exchange Energy Can Affect the Power Laws Used to Extrapolate the Coupled Cluster Correlation Energy to the Thermodynamic Limit journal March 2023
Twenty Years of Auxiliary-Field Quantum Monte Carlo in Quantum Chemistry: An Overview and Assessment on Main Group Chemistry and Bond-Breaking journal October 2022
Toward Real Chemical Accuracy on Current Quantum Hardware Through the Transcorrelated Method journal May 2024
Investigating the Basis Set Convergence of Diagrammatically Decomposed Coupled-Cluster Correlation Energy Contributions for the Uniform Electron Gas journal July 2024
Combining the Transcorrelated Method with Full Configuration Interaction Quantum Monte Carlo: Application to the Homogeneous Electron Gas journal February 2018
The HANDE-QMC Project: Open-Source Stochastic Quantum Chemistry from the Ground State Up journal January 2019
Thermofield Theory for Finite-Temperature Coupled Cluster journal September 2019
Thermofield Theory for Finite-Temperature Electronic Structure journal April 2023
Electronic Free Energy Surface of the Nitrogen Dimer Using First-Principles Finite Temperature Electronic Structure Methods journal August 2023
Challenges for Density Functional Theory journal December 2011
Explicitly Correlated Electrons in Molecules journal December 2011
Natural Orbitals for Wave Function Based Correlated Calculations Using a Plane Wave Basis Set journal August 2011
Electronic partition function paradox journal July 1966
Hot Electrons Do the Impossible: Plasmon-Induced Dissociation of H 2 on Au journal December 2012
Array programming with NumPy journal September 2020
SciPy 1.0: fundamental algorithms for scientific computing in Python journal February 2020
A comparison of Hartree–Fock and exact diagonalization solutions for a model two-electron system journal March 2005
Communications: Survival of the fittest: Accelerating convergence in full configuration-interaction quantum Monte Carlo journal January 2010
Classical barrier height for H+H2→H2+H journal January 1984
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Rates of convergence of the partial‐wave expansions of atomic correlation energies journal March 1992
Investigation of the full configuration interaction quantum Monte Carlo method using homogeneous electron gas models journal June 2012
Basis-set convergence of correlated calculations on water journal June 1997
Explicitly correlated plane waves: Accelerating convergence in periodic wavefunction expansions journal August 2013
Towards numerically accurate many-body perturbation theory: Short-range correlation effects journal October 2014
Interaction picture density matrix quantum Monte Carlo journal July 2015
Communication: Finite size correction in periodic coupled cluster theory calculations of solids journal October 2016
Ab initio quantum Monte Carlo simulation of the warm dense electron gas journal May 2017
Well-behaved versus ill-behaved density functionals for single bond dissociation: Separating success from disaster functional by functional for stretched H 2 journal March 2019
Thermofield theory for finite-temperature quantum chemistry journal April 2019
Canonical partition function for the hydrogen atom via the Coulomb propagator journal March 1995
Finite-temperature coupled cluster: Efficient implementation and application to prototypical systems journal June 2020
Wave function methods for canonical ensemble thermal averages in correlated many-fermion systems journal September 2020
Finite temperature auxiliary field quantum Monte Carlo in the canonical ensemble journal November 2020
Focal-point approach with pair-specific cusp correction for coupled-cluster theory journal June 2021
Finite-temperature many-body perturbation theory for electrons: Algebraic recursive definitions, second-quantized derivation, linked-diagram theorem, general-order algorithms, and grand canonical and canonical ensembles journal September 2021
Ultrafast bandgap narrowing and cohesion loss of photoexcited fused silica journal June 2022
Fermionic physics fromab initiopath integral Monte Carlo simulations of fictitious identical particles journal October 2023
Excited states of spherium journal September 2010
Short-range correlations and the structure factor and momentum distribution of electrons journal September 1975
Accurate and simple wavefunctions for the helium isoelectronic sequence with correct cusp conditions journal September 2007
The 2021 Room-Temperature Superconductivity Roadmap journal September 2021
A First Solution, for LiH, of a Molecular Transcorrelated Wave Equation by Means of Restricted Numerical Integration journal July 1969
Natural Orbitals in the Quantum Theory of Two-Electron Systems journal March 1956
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Accurate exchange-correlation potentials and total-energy components for the helium isoelectronic series journal November 1994
Ground state of two electrons on a sphere journal June 2009
Fully self-consistent finite-temperature GW in Gaussian Bloch orbitals for solids journal December 2022
Static structure factor and electron-electron correlations in Be. A comparison of experiment with electron-gas theory journal August 1983
Analytic static structure factors and pair-correlation functions for the unpolarized homogeneous electron gas journal March 2000
Two interacting electrons in a spherical box:  An exact diagonalization study journal December 2002
Finite-temperature density matrix renormalization using an enlarged Hilbert space journal December 2005
Ab initio study of the thermodynamic properties of nonmagnetic elementary fcc metals: Exchange-correlation-related error bars and chemical trends journal July 2007
Full configuration interaction perspective on the homogeneous electron gas journal February 2012
Convergence of many-body wave-function expansions using a plane-wave basis: From homogeneous electron gas to solid state systems journal July 2012
Predictive G W calculations using plane waves and pseudopotentials journal August 2014
Matrix product purifications for canonical ensembles and quantum number distributions journal September 2016
Ab initio path integral Monte Carlo approach to the static and dynamic density response of the uniform electron gas journal June 2019
Finite-temperature many-body perturbation theory in the canonical ensemble journal February 2020
Ab initio path integral Monte Carlo simulations of hydrogen snapshots at warm dense matter conditions journal January 2023
Finite-size effects in canonical and grand-canonical quantum Monte Carlo simulations for fermions journal October 2017
Two Electrons on a Hypersphere: A Quasiexactly Solvable Model journal September 2009
Momentum Distribution and Renormalization Factor in Sodium and the Electron Gas journal August 2010
Many-Body Quantum Chemistry for the Electron Gas: Convergent Perturbative Theories journal May 2013
Accurate Exchange-Correlation Energies for the Warm Dense Electron Gas journal September 2016
Ab Initio Quantum Monte Carlo Simulation of the Warm Dense Electron Gas in the Thermodynamic Limit journal October 2016
Averting the Infrared Catastrophe in the Gold Standard of Quantum Chemistry journal October 2023
Theory of noninteracting fermions and bosons in the canonical ensemble journal November 2020
Momentum distribution of the uniform electron gas at finite temperature: Effects of spin polarization journal November 2021
The Basics of Electronic Structure Theory for Periodic Systems journal March 2019