Ab initio calculations in atoms, molecules, and solids, treating spin–orbit coupling and electron interaction on an equal footing
Abstract
We incorporate explicit, non-perturbative treatment of spin–orbit coupling into ab initio auxiliary-field quantum Monte Carlo (AFQMC) calculations. The approach allows a general computational framework for molecular and bulk systems in which material specificity, electron correlation, and spin–orbit coupling effects can be captured accurately and on an equal footing, with favorable computational scaling vs system size. We adopt relativistic effective-core potentials that have been obtained by fitting to fully relativistic data and that have demonstrated a high degree of reliability and transferability in molecular systems. This results in a two-component spin-coupled Hamiltonian, which is then treated by generalizing the ab initio AFQMC approach. We demonstrate the method by computing the electron affinity in Pb, the bond dissociation energy in Br2 and I2, and solid Bi.
- Authors:
-
- College of William and Mary, Williamsburg, VA (United States)
- University of Delaware, Newark, DE (United States)
- Flatiron Institute, New York, NY (United States)
- Publication Date:
- Research Org.:
- College of William and Mary, Williamsburg, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Simons Foundation
- OSTI Identifier:
- 1979002
- Alternate Identifier(s):
- OSTI ID: 1838059
- Grant/Contract Number:
- SC0001303
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 156; Journal Issue: 1; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ab-initio methods; Slater determinant; density functional theory; Monte Carlo methods; electronic correlation; relativistic effective core potentials; spin-orbit interactions; chemical bonding
Citation Formats
Eskridge, Brandon, Krakauer, Henry, Shi, Hao, and Zhang, Shiwei. Ab initio calculations in atoms, molecules, and solids, treating spin–orbit coupling and electron interaction on an equal footing. United States: N. p., 2022.
Web. doi:10.1063/5.0075900.
Eskridge, Brandon, Krakauer, Henry, Shi, Hao, & Zhang, Shiwei. Ab initio calculations in atoms, molecules, and solids, treating spin–orbit coupling and electron interaction on an equal footing. United States. https://doi.org/10.1063/5.0075900
Eskridge, Brandon, Krakauer, Henry, Shi, Hao, and Zhang, Shiwei. Mon .
"Ab initio calculations in atoms, molecules, and solids, treating spin–orbit coupling and electron interaction on an equal footing". United States. https://doi.org/10.1063/5.0075900. https://www.osti.gov/servlets/purl/1979002.
@article{osti_1979002,
title = {Ab initio calculations in atoms, molecules, and solids, treating spin–orbit coupling and electron interaction on an equal footing},
author = {Eskridge, Brandon and Krakauer, Henry and Shi, Hao and Zhang, Shiwei},
abstractNote = {We incorporate explicit, non-perturbative treatment of spin–orbit coupling into ab initio auxiliary-field quantum Monte Carlo (AFQMC) calculations. The approach allows a general computational framework for molecular and bulk systems in which material specificity, electron correlation, and spin–orbit coupling effects can be captured accurately and on an equal footing, with favorable computational scaling vs system size. We adopt relativistic effective-core potentials that have been obtained by fitting to fully relativistic data and that have demonstrated a high degree of reliability and transferability in molecular systems. This results in a two-component spin-coupled Hamiltonian, which is then treated by generalizing the ab initio AFQMC approach. We demonstrate the method by computing the electron affinity in Pb, the bond dissociation energy in Br2 and I2, and solid Bi.},
doi = {10.1063/5.0075900},
journal = {Journal of Chemical Physics},
number = 1,
volume = 156,
place = {United States},
year = {Mon Jan 03 00:00:00 EST 2022},
month = {Mon Jan 03 00:00:00 EST 2022}
}
Works referenced in this record:
Assessing weak hydrogen binding on Ca + centers: An accurate many-body study with large basis sets
journal, October 2011
- Purwanto, Wirawan; Krakauer, Henry; Virgus, Yudistira
- The Journal of Chemical Physics, Vol. 135, Issue 16
P y SCF: the Python-based simulations of chemistry framework : The PySCF program
journal, September 2017
- Sun, Qiming; Berkelbach, Timothy C.; Blunt, Nick S.
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1
Essentials of relativistic quantum chemistry
journal, May 2020
- Liu, Wenjian
- The Journal of Chemical Physics, Vol. 152, Issue 18
Ab initio calculations of bismuth properties, including spin–orbit coupling
journal, May 1988
- Gonze, X.; Michenaud, J-P; Vigneron, J-P
- Physica Scripta, Vol. 37, Issue 5
Accurate computations of Rashba spin-orbit coupling in interacting systems: From the Fermi gas to real materials
journal, May 2019
- Rosenberg, Peter; Shi, Hao; Zhang, Shiwei
- Journal of Physics and Chemistry of Solids, Vol. 128
Excited state calculations using phaseless auxiliary-field quantum Monte Carlo: Potential energy curves of low-lying C2 singlet states
journal, March 2009
- Purwanto, Wirawan; Zhang, Shiwei; Krakauer, Henry
- The Journal of Chemical Physics, Vol. 130, Issue 9
Characterization of the Ground State of Br2 by Laser-Induced Fluorescence Fourier Transform Spectroscopy of the B3Π0+u–X1Σ+g System
journal, March 2000
- Focsa, C.; Li, H.; Bernath, P. F.
- Journal of Molecular Spectroscopy, Vol. 200, Issue 1
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009
- Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
- Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
Relativistic and correlation effects on molecular properties. I. The dihalogens F 2 , Cl 2 , Br 2 , I 2 , and At 2
journal, June 1996
- Visscher, L.; Dyall, K. G.
- The Journal of Chemical Physics, Vol. 104, Issue 22
Electron correlation within the relativistic no-pair approximation
journal, August 2016
- Almoukhalalati, Adel; Knecht, Stefan; Jensen, Hans Jørgen Aa.
- The Journal of Chemical Physics, Vol. 145, Issue 7
Quasirelativistic theory. II. Theory at matrix level
journal, March 2007
- Liu, Wenjian; Kutzelnigg, Werner
- The Journal of Chemical Physics, Vol. 126, Issue 11
Relativistic energy-consistent pseudopotentials?Recent developments
journal, April 2002
- Stoll, Hermann; Metz, Bernhard; Dolg, Michael
- Journal of Computational Chemistry, Vol. 23, Issue 8
On the Spectroscopic and Thermochemical Properties of ClO, BrO, IO, and Their Anions
journal, December 2006
- Peterson, Kirk A.; Shepler, Benjamin C.; Figgen, Detlev
- The Journal of Physical Chemistry A, Vol. 110, Issue 51
Local Embedding and Effective Downfolding in the Auxiliary-Field Quantum Monte Carlo Method
journal, June 2019
- Eskridge, Brandon; Krakauer, Henry; Zhang, Shiwei
- Journal of Chemical Theory and Computation, Vol. 15, Issue 7
Some recent developments in auxiliary-field quantum Monte Carlo for real materials
journal, January 2021
- Shi, Hao; Zhang, Shiwei
- The Journal of Chemical Physics, Vol. 154, Issue 2
Quantum Monte Carlo with variable spins
journal, June 2016
- Melton, Cody A.; Bennett, M. Chandler; Mitas, Lubos
- The Journal of Chemical Physics, Vol. 144, Issue 24
An atomic mean-field spin-orbit approach within exact two-component theory for a non-perturbative treatment of spin-orbit coupling
journal, April 2018
- Liu, Junzi; Cheng, Lan
- The Journal of Chemical Physics, Vol. 148, Issue 14
An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation
journal, February 2007
- Iliaš, Miroslav; Saue, Trond
- The Journal of Chemical Physics, Vol. 126, Issue 6
Stability conditions and nuclear rotations in the Hartree-Fock theory
journal, November 1960
- Thouless, D. J.
- Nuclear Physics, Vol. 21
QMCPACK: Advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion quantum Monte Carlo
journal, May 2020
- Kent, P. R. C.; Annaberdiyev, Abdulgani; Benali, Anouar
- The Journal of Chemical Physics, Vol. 152, Issue 17
Relativistic Pseudopotentials: Their Development and Scope of Applications
journal, September 2011
- Dolg, Michael; Cao, Xiaoyan
- Chemical Reviews, Vol. 112, Issue 1
Molecular core-valence correlation effects involving the post-d elements Ga–Rn: Benchmarks and new pseudopotential-based correlation consistent basis sets
journal, November 2010
- Peterson, Kirk A.; Yousaf, Kazim E.
- The Journal of Chemical Physics, Vol. 133, Issue 17
Small-core multiconfiguration-Dirac–Hartree–Fock-adjusted pseudopotentials for post- d main group elements: Application to PbH and PbO
journal, August 2000
- Metz, Bernhard; Stoll, Hermann; Dolg, Michael
- The Journal of Chemical Physics, Vol. 113, Issue 7
One-Step Treatment of Spin–Orbit Coupling and Electron Correlation in Large Active Spaces
journal, December 2017
- Mussard, Bastien; Sharma, Sandeep
- Journal of Chemical Theory and Computation, Vol. 14, Issue 1
Relativistic separable dual-space Gaussian pseudopotentials from H to Rn
journal, August 1998
- Hartwigsen, C.; Goedecker, S.; Hutter, J.
- Physical Review B, Vol. 58, Issue 7
Q uantum ESPRESSO toward the exascale
journal, April 2020
- Giannozzi, Paolo; Baseggio, Oscar; Bonfà, Pietro
- The Journal of Chemical Physics, Vol. 152, Issue 15
Frozen-Orbital and Downfolding Calculations with Auxiliary-Field Quantum Monte Carlo
journal, October 2013
- Purwanto, Wirawan; Zhang, Shiwei; Krakauer, Henry
- Journal of Chemical Theory and Computation, Vol. 9, Issue 11
The relativistic Fock-space coupled-cluster method for molecules: CdH and its ions
journal, March 1998
- Eliav, Ephraim; Kaldor, Uzi; Hess, Bernd A.
- The Journal of Chemical Physics, Vol. 108, Issue 9
Taming the Sign Problem in Auxiliary-Field Quantum Monte Carlo Using Accurate Wave Functions
journal, July 2021
- Mahajan, Ankit; Sharma, Sandeep
- Journal of Chemical Theory and Computation, Vol. 17, Issue 8
Finite-Size Correction in Many-Body Electronic Structure Calculations
journal, March 2008
- Kwee, Hendra; Zhang, Shiwei; Krakauer, Henry
- Physical Review Letters, Vol. 100, Issue 12
Relativistic Four-Component Potential Energy Curves for the Lowest 23 Covalent States of Molecular Bromine (Br 2 )
journal, May 2014
- Gomes, José da Silva; Gargano, Ricardo; Martins, João B. L.
- The Journal of Physical Chemistry A, Vol. 118, Issue 31
Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
journal, June 2006
- Al-Saidi, W. A.; Zhang, Shiwei; Krakauer, Henry
- The Journal of Chemical Physics, Vol. 124, Issue 22
Systematically convergent basis sets with relativistic pseudopotentials. II. Small-core pseudopotentials and correlation consistent basis sets for the post- d group 16–18 elements
journal, December 2003
- Peterson, Kirk A.; Figgen, Detlev; Goll, Erich
- The Journal of Chemical Physics, Vol. 119, Issue 21
Systematically convergent basis sets with relativistic pseudopotentials. I. Correlation consistent basis sets for the post- d group 13–15 elements
journal, December 2003
- Peterson, Kirk A.
- The Journal of Chemical Physics, Vol. 119, Issue 21
Eliminating spin contamination in auxiliary-field quantum Monte Carlo: Realistic potential energy curve of F2
journal, March 2008
- Purwanto, Wirawan; Al-Saidi, W. A.; Krakauer, Henry
- The Journal of Chemical Physics, Vol. 128, Issue 11
A state interaction spin-orbit coupling density matrix renormalization group method
journal, June 2016
- Sayfutyarova, Elvira R.; Chan, Garnet Kin-Lic
- The Journal of Chemical Physics, Vol. 144, Issue 23
Higher-order topology in bismuth
journal, July 2018
- Schindler, Frank; Wang, Zhijun; Vergniory, Maia G.
- Nature Physics, Vol. 14, Issue 9
Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
journal, May 2018
- Motta, Mario; Zhang, Shiwei
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 5
Quasirelativistic theory equivalent to fully relativistic theory
journal, December 2005
- Kutzelnigg, Werner; Liu, Wenjian
- The Journal of Chemical Physics, Vol. 123, Issue 24
Perspective: Relativistic effects
journal, April 2012
- Autschbach, Jochen
- The Journal of Chemical Physics, Vol. 136, Issue 15
An auxiliary-field quantum Monte Carlo study of the chromium dimer
journal, February 2015
- Purwanto, Wirawan; Zhang, Shiwei; Krakauer, Henry
- The Journal of Chemical Physics, Vol. 142, Issue 6
Two-component relativistic coupled-cluster methods using mean-field spin-orbit integrals
journal, January 2018
- Liu, Junzi; Shen, Yue; Asthana, Ayush
- The Journal of Chemical Physics, Vol. 148, Issue 3
Electron affinities of B, Al, Bi, and Pb
journal, January 1981
- Feigerle, C. S.; Corderman, R. R.; Lineberger, W. C.
- The Journal of Chemical Physics, Vol. 74, Issue 2
One-dimensional topological edge states of bismuth bilayers
journal, August 2014
- Drozdov, Ilya K.; Alexandradinata, A.; Jeon, Sangjun
- Nature Physics, Vol. 10, Issue 9
Spin–Orbit Coupling via Four-Component Multireference Methods: Benchmarking on p-Block Elements and Tentative Recommendations
journal, February 2018
- Zhang, Boyi; Vandezande, Jonathon E.; Reynolds, Ryan D.
- Journal of Chemical Theory and Computation, Vol. 14, Issue 3
On Achieving High Accuracy in Quantum Chemical Calculations of 3 d Transition Metal-Containing Systems: A Comparison of Auxiliary-Field Quantum Monte Carlo with Coupled Cluster, Density Functional Theory, and Experiment for Diatomic Molecules
journal, March 2019
- Shee, James; Rudshteyn, Benjamin; Arthur, Evan J.
- Journal of Chemical Theory and Computation, Vol. 15, Issue 4
Interfacing relativistic and nonrelativistic methods. I. Normalized elimination of the small component in the modified Dirac equation
journal, June 1997
- Dyall, Kenneth G.
- The Journal of Chemical Physics, Vol. 106, Issue 23
Advanced capabilities for materials modelling with Quantum ESPRESSO
journal, October 2017
- Giannozzi, P.; Andreussi, O.; Brumme, T.
- Journal of Physics: Condensed Matter, Vol. 29, Issue 46
Recent developments in the P y SCF program package
journal, July 2020
- Sun, Qiming; Zhang, Xing; Banerjee, Samragni
- The Journal of Chemical Physics, Vol. 153, Issue 2