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Title: A deterministic alternative to the full configuration interaction quantum Monte Carlo method

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4955109· OSTI ID:1565479

Development of exponentially scaling methods has seen great progress in tackling larger systems than previously thought possible. One such approach, full configuration interaction quantum Monte Carlo, is a useful algorithm that allows exact diagonalization through stochastically sampling determinants. The method derives its utility from the information in the matrix elements of the Hamiltonian, along with a stochastic projected wave function, to find the important parts of Hilbert space. Yet, the stochastic representation of the wave function is not required to search Hilbert space efficiently, and here we describe a highly efficient deterministic method that can achieve chemical accuracy for a wide range of systems, including the difficult Cr2 molecule. We demonstrate for systems like Cr2 that such calculations can be performed in just a few cpu hours which makes it one of the most efficient and accurate methods that can attain chemical accuracy for strongly correlated systems. Furthermore, our method also allows efficient calculation of excited state energies, which we illustrate with benchmark results for the excited states of C2.

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), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); National Science Foundation (NSF)
Grant/Contract Number:
AC05-00OR22725; SciDac
OSTI ID:
1565479
Alternate ID(s):
OSTI ID: 1279018
Journal Information:
Journal of Chemical Physics, Vol. 145, Issue 4; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 201 works
Citation information provided by
Web of Science

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Time Dependent Adaptive Configuration Interaction Applied to Attosecond Charge Migration text January 2019
Iterative submatrix diagonalisation for large configuration interaction problems journal September 2017
Stochastic perturbation theory in a limited configuration space journal September 2019
Independent amplitude approximations in coupled cluster valence bond theory: Incorporation of 3-electron-pair correlation and application to spin frustration in the low-lying excited states of a ferredoxin-type tetrametallic iron-sulfur cluster journal October 2018
autoCAS : A Program for Fully Automated Multiconfigurational Calculations journal June 2019
A hybrid approach to extending selected configuration interaction and full configuration interaction quantum Monte Carlo text January 2019
Time dependent adaptive configuration interaction applied to attosecond charge migration journal November 2019
Perspective: Multireference coupled cluster theories of dynamical electron correlation journal July 2018
From Real Materials to Model Hamiltonians With Density Matrix Downfolding journal May 2018
Open-Shell Coupled-Cluster Valence-Bond Theory Augmented with an Independent Amplitude Approximation for Three-Pair Correlations: Application to a Model Oxygen-Evolving Complex and Single Molecular Magnet text January 2018
Excitation Variance Matching with Limited Configuration Interaction Expansions in Variational Monte Carlo text January 2017
Selected configuration interaction dressed by perturbation journal August 2018
Unbiasing the initiator approximation in full configuration interaction quantum Monte Carlo. text January 2019
Communication: Approaching exact quantum chemistry by cluster analysis of full configuration interaction quantum Monte Carlo wave functions journal October 2018
Reduced Scaling Hilbert Space Variational Monte Carlo text January 2018
Evaluation of full valence correlation energies and gradients journal June 2019
QMCPACK : an open source ab initio quantum Monte Carlo package for the electronic structure of atoms, molecules and solids journal April 2018
A hybrid approach to extending selected configuration interaction and full configuration interaction quantum Monte Carlo journal November 2019
Open-shell coupled-cluster valence-bond theory augmented with an independent amplitude approximation for three-pair correlations: Application to a model oxygen-evolving complex and single molecular magnet journal December 2018
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QMCPACK : An open source ab initio Quantum Monte Carlo package for the electronic structure of atoms, molecules, and solids text January 2018
Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method journal May 2018
Accurate excited-state energetics by a combination of Monte Carlo sampling and equation-of-motion coupled-cluster computations journal March 2019
Unbiasing the initiator approximation in full configuration interaction quantum Monte Carlo journal December 2019
Excitation variance matching with limited configuration interaction expansions in variational Monte Carlo journal October 2017
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A Multireference Quantum Krylov Algorithm for Strongly Correlated Electrons journal February 2020
High Accuracy ab Initio Calculations of Rotational–Vibrational Levels of the HCN/HNC System journal January 2018
The Shape of Full Configuration Interaction to Come journal December 2020
A Combined Selected Configuration Interaction and Many-Body Treatment of Static and Dynamical Correlation in Oligoacenes preprint January 2018
Many-Body Expanded Full Configuration Interaction. II. Strongly Correlated Regime text January 2019
Semiclassical Dispersion Corrections efficiently improve Multi-Configurational Theory with Short-Range Density-Functional Dynamic Correlation text January 2019
Generalized Many-Body Expanded Full Configuration Interaction Theory text January 2019
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