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Title: Renormalized Singles Green’s Function for Quasi-Particle Calculations beyond the G0W0 Approximation

Abstract

Quasi-particle energies and band gaps in particular are critical for investigating novel materials. Commonly used density functional approximations (DFAs) systematically underestimate band gaps, and GW approximation is the established method of choice for good accuracy and reliability. However, G0W0 has some undesired dependence on the DFA, while self-consistent GW (scGW) is expensive and not consistent in accuracy improvement. Here a simple and efficient GRS W0 approach has been developed: a subspace diagonalization of the Hartree-Fock (HF) Hamiltonian with the DFA density matrix provides the new reference Green's function GRS that incorporates the effect of all single excitation contributions to the self-energy, thereby essentially eliminating the starting-point dependence. Calculations for molecules and large band gap solids demonstrate the significant improvement over G0W0 and greatly reduced dependence on the initial DFA. GRS W0 approach also improve results for other bulks over G0W0 but to a lesser extent, which could be due to the limitations in current implementation for bulks. The results demonstrate that to achieve good accuracy, it is not necessary to use hybrid DFA, which is expensive for bulks. Lastly, this work should be greatly significant in making GW a more robust approach.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [2]
  1. Duke Univ., Durham, NC (United States)
  2. Duke Univ., Durham, NC (United States); South China Normal University, Guangzhou (China). Key Lab. of Theoretical Chemistry of Environment\
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Complex Materials from First Principles (CCM); Temple Univ., Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1566537
Grant/Contract Number:  
SC0012575
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry Letters
Additional Journal Information:
Journal Volume: 10; Journal Issue: 3; Journal ID: ISSN 1948-7185
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; catalysis (heterogeneous); electrocatalysis; solar (photovoltaic); mechanical behavior; superconductivity; magnetism and spin physics; water; materials and chemistry by design; synthesis (novel materials)

Citation Formats

Jin, Ye, Su, Neil Qiang, and Yang, Weitao. Renormalized Singles Green’s Function for Quasi-Particle Calculations beyond the G0W0 Approximation. United States: N. p., 2019. Web. doi:10.1021/acs.jpclett.8b03337.
Jin, Ye, Su, Neil Qiang, & Yang, Weitao. Renormalized Singles Green’s Function for Quasi-Particle Calculations beyond the G0W0 Approximation. United States. https://doi.org/10.1021/acs.jpclett.8b03337
Jin, Ye, Su, Neil Qiang, and Yang, Weitao. Fri . "Renormalized Singles Green’s Function for Quasi-Particle Calculations beyond the G0W0 Approximation". United States. https://doi.org/10.1021/acs.jpclett.8b03337. https://www.osti.gov/servlets/purl/1566537.
@article{osti_1566537,
title = {Renormalized Singles Green’s Function for Quasi-Particle Calculations beyond the G0W0 Approximation},
author = {Jin, Ye and Su, Neil Qiang and Yang, Weitao},
abstractNote = {Quasi-particle energies and band gaps in particular are critical for investigating novel materials. Commonly used density functional approximations (DFAs) systematically underestimate band gaps, and GW approximation is the established method of choice for good accuracy and reliability. However, G0W0 has some undesired dependence on the DFA, while self-consistent GW (scGW) is expensive and not consistent in accuracy improvement. Here a simple and efficient GRS W0 approach has been developed: a subspace diagonalization of the Hartree-Fock (HF) Hamiltonian with the DFA density matrix provides the new reference Green's function GRS that incorporates the effect of all single excitation contributions to the self-energy, thereby essentially eliminating the starting-point dependence. Calculations for molecules and large band gap solids demonstrate the significant improvement over G0W0 and greatly reduced dependence on the initial DFA. GRS W0 approach also improve results for other bulks over G0W0 but to a lesser extent, which could be due to the limitations in current implementation for bulks. The results demonstrate that to achieve good accuracy, it is not necessary to use hybrid DFA, which is expensive for bulks. Lastly, this work should be greatly significant in making GW a more robust approach.},
doi = {10.1021/acs.jpclett.8b03337},
journal = {Journal of Physical Chemistry Letters},
number = 3,
volume = 10,
place = {United States},
year = {Fri Jan 04 00:00:00 EST 2019},
month = {Fri Jan 04 00:00:00 EST 2019}
}

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Works referenced in this record:

Challenges for Density Functional Theory
journal, December 2011

  • Cohen, Aron J.; Mori-Sánchez, Paula; Yang, Weitao
  • Chemical Reviews, Vol. 112, Issue 1
  • DOI: 10.1021/cr200107z

First-Principles Theory of Quasiparticles: Calculation of Band Gaps in Semiconductors and Insulators
journal, September 1985


The GW method
journal, March 1998


Electronic excitations: density-functional versus many-body Green’s-function approaches
journal, June 2002


Conserving G W scheme for nonequilibrium quantum transport in molecular contacts
journal, March 2008


The GW -Method for Quantum Chemistry Applications: Theory and Implementation
journal, December 2012

  • van Setten, M. J.; Weigend, F.; Evers, F.
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 1
  • DOI: 10.1021/ct300648t

Benchmarking the Starting Points of the GW Approximation for Molecules
journal, December 2012

  • Bruneval, Fabien; Marques, Miguel A. L.
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 1
  • DOI: 10.1021/ct300835h

GW 100: Benchmarking G 0 W 0 for Molecular Systems
journal, November 2015

  • van Setten, Michiel J.; Caruso, Fabio; Sharifzadeh, Sahar
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 12
  • DOI: 10.1021/acs.jctc.5b00453

Inhomogeneous Electron Gas
journal, November 1964


Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


Combining GW calculations with exact-exchange density-functional theory: an analysis of valence-band photoemission for compound semiconductors
journal, January 2005


Quasiparticle band structure based on a generalized Kohn-Sham scheme
journal, September 2007


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Toward reliable density functional methods without adjustable parameters: The PBE0 model
journal, April 1999

  • Adamo, Carlo; Barone, Vincenzo
  • The Journal of Chemical Physics, Vol. 110, Issue 13
  • DOI: 10.1063/1.478522

Assessment of the Perdew–Burke–Ernzerhof exchange-correlation functional
journal, March 1999

  • Ernzerhof, Matthias; Scuseria, Gustavo E.
  • The Journal of Chemical Physics, Vol. 110, Issue 11
  • DOI: 10.1063/1.478401

Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
journal, January 1988


A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP)
journal, July 2004

  • Yanai, Takeshi; Tew, David P.; Handy, Nicholas C.
  • Chemical Physics Letters, Vol. 393, Issue 1-3, p. 51-57
  • DOI: 10.1016/j.cplett.2004.06.011

Self-consistent GW 0 results for the electron gas: Fixed screened potential W 0 within the random-phase approximation
journal, September 1996


All-electron GW approximation with the mixed basis expansion based on the full-potential LMTO method
journal, March 2002


All-Electron Self-Consistent G W Approximation: Application to Si, MnO, and NiO
journal, September 2004


Quasiparticle Self-Consistent G W Theory
journal, June 2006


Quasi-Particle Self-Consistent GW for Molecules
journal, May 2016

  • Kaplan, F.; Harding, M. E.; Seiler, C.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 6
  • DOI: 10.1021/acs.jctc.5b01238

Making the random phase approximation to electronic correlation accurate
journal, October 2009

  • Grüneis, Andreas; Marsman, Martijn; Harl, Judith
  • The Journal of Chemical Physics, Vol. 131, Issue 15
  • DOI: 10.1063/1.3250347

Hybrid functionals including random phase approximation correlation and second-order screened exchange
journal, March 2010

  • Paier, Joachim; Janesko, Benjamin G.; Henderson, Thomas M.
  • The Journal of Chemical Physics, Vol. 132, Issue 9
  • DOI: 10.1063/1.3317437

Random-phase approximation and its applications in computational chemistry and materials science
journal, June 2012

  • Ren, Xinguo; Rinke, Patrick; Joas, Christian
  • Journal of Materials Science, Vol. 47, Issue 21
  • DOI: 10.1007/s10853-012-6570-4

Generalized Optimized Effective Potential for Orbital Functionals and Self-Consistent Calculation of Random Phase Approximations
journal, September 2017


Singles correlation energy contributions in solids
journal, September 2015

  • Klimeš, Jiří; Kaltak, Merzuk; Maggio, Emanuele
  • The Journal of Chemical Physics, Vol. 143, Issue 10
  • DOI: 10.1063/1.4929346

30.4-nm He (II) photoelectron spectra of organic molecules
journal, January 1982

  • Bieri, Gerhard; Åsbrink, Leif; von Niessen, Wolfgang
  • Journal of Electron Spectroscopy and Related Phenomena, Vol. 27, Issue 2
  • DOI: 10.1016/0368-2048(82)85059-7

A comparison of potential molecular wires as components for molecular electronics
journal, December 2002

  • Robertson, Neil; McGowan, Craig A.
  • Chemical Society Reviews, Vol. 32, Issue 2
  • DOI: 10.1039/b206919a

exciting: a full-potential all-electron package implementing density-functional theory and many-body perturbation theory
journal, August 2014

  • Gulans, Andris; Kontur, Stefan; Meisenbichler, Christian
  • Journal of Physics: Condensed Matter, Vol. 26, Issue 36
  • DOI: 10.1088/0953-8984/26/36/363202

Works referencing / citing this record:

Quantum embedding theory in the screened Coulomb interaction: Combining configuration interaction with G W / BSE
journal, July 2019


The GW Compendium: A Practical Guide to Theoretical Photoemission Spectroscopy
journal, July 2019