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Title: Influence of single particle orbital sets and configuration selection on multideterminant wavefunctions in quantum Monte Carlo

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4921984· OSTI ID:1265586
 [1];  [2]
  1. Univ. of Illinois, Urbana, IL (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Multideterminant wavefunctions, while having a long history in quantum chemistry, are increasingly being used in highly accurate quantum Monte Carlo calculations. Since the accuracy of QMC is ultimately limited by the quality of the trial wavefunction, multi-Slater determinants wavefunctions offer an attractive alternative to Slater-Jastrow and more sophisticated wavefunction ansatz for several reasons. They can be efficiently calculated, straightforwardly optimized, and systematically improved by increasing the number of included determinants. In spite of their potential, however, the convergence properties of multi-Slater determinant wavefunctions with respect to orbital set choice and excited determinant selection are poorly understood, which hinders the application of these wavefunctions to large systems and solids. In this study, by performing QMC calculations on the equilibrium and stretched carbon dimer, we find that convergence of the recovered correlation energy with respect to number of determinants can depend quite strongly on basis set and determinant selection methods, especially where there is strong correlation. Finally, we demonstrate that properly chosen orbital sets and determinant selection techniques from quantum chemistry methods can dramatically reduce the required number of determinants (and thus the computational cost) to reach a given accuracy, which we argue shows clear need for an automatic QMC-only method for selecting determinants and generating optimal orbital sets.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
DOE Contract Number:
AC52-07NA27344
OSTI ID:
1265586
Journal Information:
Journal of Chemical Physics, Vol. 142, Issue 23; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English

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Cited By (6)

Review on Simulation Models for Materials and Biomolecular Study and Design book July 2017
The transition to the metallic state in low density hydrogen journal November 2015
Using local operator fluctuations to identify wave function improvements journal July 2016
The Transition to the Metallic State in Low Density Hydrogen preprint January 2013
Using Local Operator Fluctuations to Identify Wave Function Improvements text January 2015
QMCPACK : An open source ab initio Quantum Monte Carlo package for the electronic structure of atoms, molecules, and solids text January 2018

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