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Title: Quantum Monte Carlo Calculations in Solids with Downfolded Hamiltonians

Journal Article · · Physical Review Letters
 [1];  [1];  [1];  [1]
  1. College of William and Mary, Williamsburg, VA (United States). Dept. of Physics

We present a systematic downfolding many-body approach for extended systems. Many-body calculations operate on a simpler Hamiltonian which retains material-specific properties. The Hamiltonian is systematically improvable and allows one to dial, in principle, between the simplest model and the original Hamiltonian. As a by-product, pseudopotential errors are essentially eliminated using a frozen-core treatment. The computational cost of the many-body calculation is dramatically reduced without sacrificing accuracy. We use the auxiliary-field quantum Monte Carlo (AFQMC) method to solve the downfolded Hamiltonian. Excellent accuracy is achieved for a range of solids, including semiconductors, ionic insulators, and metals. We further test the method by determining the spin gap in NiO, a challenging prototypical material with strong electron correlation effects. This approach greatly extends the reach of general, ab initio many-body calculations in materials.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States); College of William and Mary, Williamsburg, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725; SC0001303; SC0008627
OSTI ID:
1565376
Alternate ID(s):
OSTI ID: 1184671
Journal Information:
Physical Review Letters, Vol. 114, Issue 22; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

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Cited By (12)

Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method journal May 2018
From plane waves to local Gaussians for the simulation of correlated periodic systems journal August 2016
Communication: Calculation of interatomic forces and optimization of molecular geometry with auxiliary-field quantum Monte Carlo journal May 2018
Auxiliary-field quantum Monte Carlo calculations of the structural properties of nickel oxide journal October 2018
Non-orthogonal multi-Slater determinant expansions in auxiliary field quantum Monte Carlo journal February 2019
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
Hamiltonian symmetries in auxiliary-field quantum Monte Carlo calculations for electronic structure journal July 2019
Equation of state of boron nitride combining computation, modeling, and experiment journal April 2019
Coupling quantum Monte Carlo and independent-particle calculations: self-consistent constraint for the sign problem based on density or density matrix text January 2016
Auxiliary-field quantum Monte Carlo calculations with multiple-projector pseudopotentials text January 2016
Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods text January 2017
Non-Orthogonal Multi-Slater Determinant Expansions in Auxiliary Field Quantum Monte Carlo preprint January 2018

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