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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:
College of William and Mary, Williamsburg, VA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); UT-Battelle LLC/ORNL, Oak Ridge, TN (Unted States)
Sponsoring Organization:
USDOE; 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, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 114; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (16)

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
First-principles calculation of correlated electron materials based on Gutzwiller wave function beyond Gutzwiller approximation journal June 2019
Hamiltonian symmetries in auxiliary-field quantum Monte Carlo calculations for electronic structure journal July 2019
Coupling quantum Monte Carlo and independent-particle calculations: Self-consistent constraint for the sign problem based on the density or the density matrix journal December 2016
Auxiliary-field quantum Monte Carlo calculations with multiple-projector pseudopotentials journal April 2017
Equation of state of boron nitride combining computation, modeling, and experiment journal April 2019
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 journal September 2017
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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