skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: G W calculations using the spectral decomposition of the dielectric matrix: Verification, validation, and comparison of methods

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2];  [3];  [4]
  1. Univ. of California, Davis, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Vietnam Academy of Science and Technology, Hanoi (Vietnam)
  3. Univ. of California, Davis, CA (United States); Univ. de Lorraine and CNRS, Vandoeuvre-les-Nancy (France)
  4. Univ. of California, Davis, CA (United States)

In a recent paper we presented an approach to evaluate quasiparticle energies based on the spectral decomposition of the static dielectric matrix. This method does not require the calculation of unoccupied electronic states or the direct diagonalization of large dielectric matrices, and it avoids the use of plasmon-pole models. The numerical accuracy of the approach is controlled by a single parameter, i.e., the number of eigenvectors used in the spectral decomposition of the dielectric matrix. Here we present a comprehensive validation of the method, encompassing calculations of ionization potentials and electron affinities of various molecules and of band gaps for several crystalline and disordered semiconductors. Lastly, we demonstrate the efficiency of our approach by carrying out G W calculations for systems with several hundred valence electrons.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1351134
Alternate ID(s):
OSTI ID: 1102164
Report Number(s):
LLNL-JRNL-613237; PRBMDO
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 87, Issue 15; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 113 works
Citation information provided by
Web of Science

References (64)

Generalized Gradient Approximation Made Simple journal October 1996
Microscopic modeling of the dielectric properties of silicon nitride journal July 2011
Dielectric band structure of crystals: General properties and calculations for silicon journal July 1981
Efficient Band Gap Prediction for Solids journal November 2010
A first-principles study of weakly bound molecules using exact exchange and the random phase approximation journal January 2010
Ab initio calculations of electronic excitations: Collapsing spectral sums journal July 2010
Space-Time Method for Ab Initio Calculations of Self-Energies and Dielectric Response Functions of Solids journal March 1995
The GW -Method for Quantum Chemistry Applications: Theory and Implementation journal December 2012
Hybrid functionals based on a screened Coulomb potential journal May 2003
van der Waals Interactions in Molecular Assemblies from First-Principles Calculations journal February 2010
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Simple Approximate Physical Orbitals for G W Quasiparticle Calculations journal October 2011
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies journal October 1986
Implementation of an all-electron GW approximation based on the projector augmented wave method without plasmon pole approximation: Application to Si, SiC, AlAs, InAs, NaH, and KH journal April 2003
Efficient calculation of exact exchange and RPA correlation energies in the adiabatic-connection fluctuation-dissipation theory journal May 2009
Turbo charging time-dependent density-functional theory with Lanczos chains journal April 2008
Iterative Methods for Sparse Linear Systems book January 2003
First-principles investigations of the dielectric properties of crystalline and amorphous Si3N4 thin films journal February 2010
Electronic excitations: density-functional versus many-body Green’s-function approaches journal June 2002
ABINIT: First-principles approach to material and nanosystem properties journal December 2009
Band Offsets at the Si / SiO 2 Interface from Many-Body Perturbation Theory journal May 2008
Conserving G W scheme for nonequilibrium quantum transport in molecular contacts journal March 2008
Electronic Structure book January 2004
Self-consistent Hartree-Fock and screened-exchange calculations in solids: Application to silicon journal September 1986
Dielectric band structure of solids journal January 1979
First-principles GW calculations for fullerenes, porphyrins, phtalocyanine, and other molecules of interest for organic photovoltaic applications journal March 2011
Metal-insulator transition in Kohn-Sham theory and quasiparticle theory journal March 1989
Generalized plasmon-pole model and plasmon band structures of crystals journal June 1993
GW method with the self-consistent Sternheimer equation journal March 2010
G 0 W 0 band gap of ZnO: Effects of plasmon-pole models journal December 2011
GW quasiparticle spectra from occupied states only journal March 2010
Optimal representation of the polarization propagator for large-scale G W calculations journal May 2009
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Mean-value point and dielectric properties of semiconductors and insulators journal June 1978
Electronic and spectroscopic properties of the hydrogen-terminated Si(111) surface from ab initio calculations journal July 2010
Quasiparticle Band Gap of ZnO: High Accuracy from the Conventional G 0 W 0 Approach journal September 2010
Phonons and related crystal properties from density-functional perturbation theory journal July 2001
Improving accuracy and efficiency of calculations of photoemission spectra within the many-body perturbation theory journal February 2012
Band convergence and linearization error correction of all-electron GW calculations: The extreme case of zinc oxide journal February 2011
Fully self-consistent GW calculations for molecules journal February 2010
New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem journal August 1965
Ab initio calculation of the macroscopic dielectric constant in silicon journal May 1986
Resolution-of-identity approach to Hartree–Fock, hybrid density functionals, RPA, MP2 and GW with numeric atom-centered orbital basis functions journal May 2012
Quasiparticle band-structure calculations for C, Si, Ge, GaAs, and SiC using Gaussian-orbital basis sets journal December 1993
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Optical properties, band gap, and surface roughness of Si3N4 journal February 1977
Ab initio static dielectric matrices from the density-functional approach. I. Formulation and application to semiconductors and insulators journal April 1987
Assessment of Gaussian-2 and density functional theories for the computation of enthalpies of formation journal January 1997
Benchmarking the Starting Points of the GW Approximation for Molecules journal December 2012
Spectral properties of quasiparticles in a semiconductor journal October 1997
Exact-exchange-based quasiparticle calculations journal September 2000
Dielectric Properties of Ice and Liquid Water from First-Principles Calculations journal April 2008
Electronic energy level alignment at metal-molecule interfaces with a G W approach journal November 2011
Rationale for mixing exact exchange with density functional approximations journal December 1996
Iterative calculations of dielectric eigenvalue spectra journal June 2009
Efficient iterative method for calculations of dielectric matrices journal September 2008
Electronic excitations in light absorbers for photoelectrochemical energy conversion: first principles calculations based on many body perturbation theory journal January 2013
Precise quasiparticle energies and Hartree-Fock bands of semiconductors and insulators journal May 1988
The GW space-time method for the self-energy of large systems journal March 1999
Electronic Structure book September 2020
Conserving GW scheme for nonequilibrium quantum transport in molecular contacts text January 2007
GW method with the self-consistent Sternheimer equation text January 2009
Fully selfconsistent GW calculations for molecules text January 2010
The GW space-time method for the self-energy of large systems text January 1998

Cited By (21)

Ab initio simulations of liquid electrolytes for energy conversion and storage journal October 2018
Re‐weighted random series path integral simulations of molecular clusters: Applications to lithium solvated by a mixed Stockmayer cluster journal December 2018
Modeling Excited States of Confined Systems book January 2018
Modelling heterogeneous interfaces for solar water splitting journal January 2017
Design of defect spins in piezoelectric aluminum nitride for solid-state hybrid quantum technologies journal February 2016
Speeding up GW Calculations to Meet the Challenge of Large Scale Quasiparticle Predictions journal November 2016
Communication: Electronic structure of the solvated chloride anion from first principles molecular dynamics journal May 2013
GW and Bethe-Salpeter study of small water clusters journal January 2016
Combining the GW formalism with the polarizable continuum model: A state-specific non-equilibrium approach journal April 2016
All-electron ab initio Bethe-Salpeter equation approach to neutral excitations in molecules with numeric atom-centered orbitals journal January 2020
Improving the efficiency of G 0 W 0 calculations with approximate spectral decompositions of dielectric matrices journal December 2019
All-electron self-consistent G W in the Matsubara-time domain: Implementation and benchmarks of semiconductors and insulators journal March 2016
Accurate description of charged excitations in molecular solids from embedded many-body perturbation theory journal January 2018
Comparing time-dependent density functional theory with many-body perturbation theory for semiconductors: Screened range-separated hybrids and the G W plus Bethe-Salpeter approach journal June 2019
The GW Compendium: A Practical Guide to Theoretical Photoemission Spectroscopy journal July 2019
Modeling Excited States of Confined Systems book January 2020
Self-consistent hybrid functional for condensed systems text January 2015
First-principles Engineering of Charged Defects for Two-dimensional Quantum Technologies text January 2017
Spectral properties from Matsubara Green's function approach - application to molecules text January 2017
Fundamental Principles for Calculating Charged Defect Ionization Energies in Ultrathin Two-Dimensional Materials text January 2018
Improving the efficiency of $G_0W_0$ calculations with approximate spectral decompositions of dielectric matrices text January 2019

Similar Records

First-principles study of the phonon replicas in the photoluminescence spectrum of 4H-SiC
Journal Article · Wed Jan 15 00:00:00 EST 2020 · Physical Review B · OSTI ID:1351134

Electronic and magnetic properties of electron-doped V2O5 and NaV2O5
Journal Article · Thu Sep 17 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1351134

Two-Dimensional Non-Fermi-Liquid Metals: A Solvable Large-N Limit
Journal Article · Thu Aug 29 00:00:00 EDT 2019 · Physical Review Letters · OSTI ID:1351134