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Title: Non-orthogonal multi-Slater determinant expansions in auxiliary field quantum Monte Carlo

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5049143· OSTI ID:1512621
 [1]; ORCiD logo [2];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Rice Univ., Houston, TX (United States). Applied Physics Program. Dept. of Chemistry

We investigate here the use of non-orthogonal multi-Slater determinant (NOMSD) expansions as trial wavefunctions in auxiliary field quantum Monte Carlo simulations of molecular systems. We show that NOMSD trial wavefunctions with as few as twenty determinants are sufficient in order to achieve chemical accuracy across most of the G1 molecular test set. We also show that NOMSD trial wavefunctions are useful for more challenging strongly correlated systems by computing relative energies along the isomerization path of the [Cu2O2]2+ molecule. Our results for [Cu2O2]2+ compare favorably with other accurate quantum many-body methods, including density matrix renormalization group and completely renormalized coupled cluster methods.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Rice Univ., Houston, TX (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); LLNL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
Grant/Contract Number:
AC52-07NA27344; DGE-1450681
OSTI ID:
1512621
Report Number(s):
LLNL-JRNL-745447; 900954
Journal Information:
Journal of Chemical Physics, Vol. 150, Issue 7; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

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An auxiliary-Field quantum Monte Carlo perspective on the ground state of the dense uniform electron gas: An investigation with Hartree-Fock trial wavefunctions journal August 2019
Calculating ground-state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches journal August 2019
Numerically exact study of Weyl superconductivity journal September 2019
Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches text January 2019
Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method journal March 2020
Overcoming the Memory Bottleneck in Auxiliary Field Quantum Monte Carlo Simulations with Interpolative Separable Density Fitting journal November 2018
A General Approach for Multireference Ground and Excited States using Non-Orthogonal Configuration Interaction preprint January 2019
Stochastic Resolution-of-the-Identity Auxiliary-Field Quantum Monte Carlo: Scaling Reduction without Overhead text January 2020