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We provide an in-depth examination of the $GW$ approximation of Green's function many-body perturbation theory by detailing both its theoretical and practical aspects in the realm of quantum chemistry.
D. Bohm and D. Pines, “A collective description of electron interactions. i. magnetic interactions,” Phys. Rev. 82
1951
Earlier work this paper cites.
D. Pines and D. Bohm, “A collective description of electron interactions: Ii. collective vs \mathrm{vs} individual particle aspects of the interactions,” Phys. Rev. 85
1952
Earlier work this paper cites.
D. Bohm and D. Pines, “A collective description of electron interactions: Iii. coulomb interactions in a degenerate electron gas,” Phys. Rev. 92
1953
Earlier work this paper cites.
K. Sawada, “Correlation energy of an electron gas at high density,” Phys. Rev. 106
1957
Earlier work this paper cites.
P. Nozières and D. Pines, “Correlation energy of a free electron gas,” Phys. Rev. 111
1958
Earlier work this paper cites.
V. Galitskii and A. Migdal, “Applications of quantum field theory to the many body problem,” Sov. Phys. JETP 7
1958
Earlier work this paper cites.
P. C. Martin and J. Schwinger, “Theory of Many-Particle Systems. I,” Phys. Rev. 115
1959
Earlier work this paper cites.
J. M. Luttinger and J. C. Ward, “Ground-State Energy of a Many-Fermion System. II,” Phys. Rev. 118
1960
Earlier work this paper cites.
A. Klein, “Perturbation Theory for an Infinite Medium of Fermions. II,” Phys. Rev. 121
1961
Earlier work this paper cites.
L. Hedin, “New method for calculating the one-particle Green’s function with application to the electron-gas problem,” Phys. Rev. 139
1965
Earlier work this paper cites.
D. J. Rowe, “Methods for calculating ground-state correlations of vibrational nuclei,” Phys. Rev. 175
1968
Earlier work this paper cites.
G. Csanak, H. Taylor, and R. Yaris, “Green’s function technique in atomic and molecular physics,” in Advances in atomic and molecular physics , Vol. 7 (Elsevier, 1971) pp. 287–361
1971
Earlier work this paper cites.
A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw Hill, San Francisco, 1971)
1971
Earlier work this paper cites.
E. R. Davidson, “The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices,” J. Comput. Phys. 17
1975
Earlier work this paper cites.
R. Seeger and J. A. Pople, “Self-consistent molecular orbital methods. XVIII. Constraints and stability in Hartree–Fock theory,” J. Chem. Phys. 66
1977
Earlier work this paper cites.
G. Strinati, H. J. Mattausch, and W. Hanke, “Dynamical correlation effects on the quasiparticle bloch states of a covalent crystal,” Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
M. S. Hybertsen and S. G. Louie, “First-Principles Theory of Quasiparticles: Calculation of Band Gaps in Semiconductors and Insulators,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
M. S. Hybertsen and S. G. Louie, “Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies,” Phys. Rev. B 34
1986
Earlier work this paper cites.
R. W. Godby, M. Schlüter, and L. J. Sham, “Self-energy operators and exchange-correlation potentials in semiconductors,” Phys. Rev. B 37
1988
Earlier work this paper cites.
W. von der Linden and P. Horsch, “Precise quasiparticle energies and hartree-fock bands of semiconductors and insulators,” Phys. Rev. B 37
1988
Earlier work this paper cites.
A. Szabo and N. S. Ostlund, Modern quantum chemistry (McGraw-Hill, New York, 1989)
1989
Earlier work this paper cites.
J. E. Northrup, M. S. Hybertsen, and S. G. Louie, “Many-body calculation of the surface-state energies for si(111)2×1,” Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
R. D. Mattuck, A guide to Feynman diagrams in the many-body problem , 2nd ed., Dover books on physics and chemistry (Dover Publications, New York, 1992)
1992
Earlier work this paper cites.
R. Del Sole, L. Reining, and R. W. Godby, “Gw Γ \Gamma approximation for electron self-energies in semiconductors and insulators,” Phys. Rev. B 49
1994
Earlier work this paper cites.
X. Blase, X. Zhu, and S. G. Louie, “Self-energy effects on the surface-state energies of h-si(111)1×1,” Phys. Rev. B 49
1994
Earlier work this paper cites.
M. Rohlfing, P. Krüger, and J. Pollmann, “Efficient scheme for gw quasiparticle band-structure calculations with aapplications to bulk si and to the si(001)-(2×1) surface,” Phys. Rev. B 52
1995
Earlier work this paper cites.
H. J. de Groot, P. A. Bobbert, and W. van Haeringen, “Self-consistent GW for a quasi-one-dimensional semiconductor,” Phys. Rev. B 52
1995
Earlier work this paper cites.
E. L. Shirley, “Self-consistent gw and higher-order calculations of electron states in metals,” Phys. Rev. B 54
1996
Earlier work this paper cites.
F. Aryasetiawan and O. Gunnarsson, “The gw method,” Rep. Prog. Phys. 61
1998
Earlier work this paper cites.
A. Schindlmayr and R. W. Godby, “Systematic vertex corrections through iterative solution of Hedin’s equations beyond the GW approximation,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
B. Holm and U. von Barth, “Fully self-consistent GW self-energy of the electron gas,” Phys. Rev. B 57
1998
Earlier work this paper cites.
W.-D. Schöne and A. G. Eguiluz, “Self-Consistent Calculations of Quasiparticle States in Metals and Semiconductors,” Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
B. Holm, “Total Energies from GW Calculations,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
B. Holm and F. Aryasetiawan, “Total energy from the Galitskii-Migdal formula using realistic spectral functions,” Phys. Rev. B 62
2000
Earlier work this paper cites.
P. García-González and R. W. Godby, “Self-consistent calculation of total energies of the electron gas using many-body perturbation theory,” Phys. Rev. B 63
2001
Earlier work this paper cites.
G. Onida, L. Reining, and A. Rubio, “Electronic excitations: Density-functional versus many-body green’s function approaches,” Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
R. Johnson, “Computational Chemistry Comparison and Benchmark Database, NIST Standard Reference Database 101,” (2002)
2002
Earlier work this paper cites.
W. Ku and A. G. Eguiluz, “Band-Gap Problem in Semiconductors Revisited: Effects of Core States and Many-Body Self-Consistency,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, 2004)
2004
Earlier work this paper cites.
S. V. Faleev, M. van Schilfgaarde, and T. Kotani, “All-Electron Self-Consistent G W Approximation: Application to Si, MnO, and NiO,” Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
N. E. Dahlen and U. von Barth, “Variational second-order Møller–Plesset theory based on the Luttinger–Ward functional,” J. Chem. Phys. 120
2004
Earlier work this paper cites.
N. E. Dahlen and U. von Barth, “Variational energy functionals tested on atoms,” Phys. Rev. B 69
2004
Earlier work this paper cites.
N. E. Dahlen, R. Van Leeuwen, and U. Von Barth, “Variational energy functionals of the Green function tested on molecules,” Int. J. Quantum Chem. 101
2005
Earlier work this paper cites.
N. E. Dahlen and R. van Leeuwen, “Self-consistent solution of the Dyson equation for atoms and molecules within a conserving approximation,” J. Chem. Phys. 122
2005
Earlier work this paper cites.
M. van Schilfgaarde, T. Kotani, and S. Faleev, “Quasiparticle Self-Consistent G W Theory,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Stan, N. E. Dahlen, and R. van Leeuwen, “Fully self-consistent GW calculations for atoms and molecules,” Europhys. Lett. EPL 76
2006
Earlier work this paper cites.
N. E. Dahlen, R. van Leeuwen, and U. von Barth, “Variational energy functionals of the Green function and of the density tested on molecules,” Phys. Rev. A 73
2006
Earlier work this paper cites.
C. Friedrich, A. Schindlmayr, S. Blügel, and T. Kotani, “Elimination of the linearization error in GW calculations based on the linearized augmented-plane-wave method,” Phys. Rev. B 74
2006
Earlier work this paper cites.
A. J. Morris, M. Stankovski, K. T. Delaney, P. Rinke, P. García-González, and R. W. Godby, “Vertex corrections in localized and extended systems,” Phys. Rev. B 76
2007
Cited alongside, same era.
M. Shishkin, M. Marsman, and G. Kresse, “Accurate quasiparticle spectra from self-consistent gw calculations with vertex corrections,” Phys. Rev. Lett. 99
2007
Cited alongside, same era.
M. Shishkin and G. Kresse, “Self-consistent $GW$ calculations for semiconductors and insulators,” Phys. Rev. B 75
2007
Cited alongside, same era.
T. Kotani, M. van Schilfgaarde, and S. V. Faleev, “Quasiparticle self-consistent G W method: A basis for the independent-particle approximation,” Phys. Rev. B 76
2007
Cited alongside, same era.
Y. Pavlyukh and W. Hübner, “Configuration interaction approach for the computation of the electronic self-energy,” Phys. Rev. B 75
2007
E. Maggio, P. Liu, M. J. van Setten, and G. Kresse, “ GW 100: A Plane Wave Perspective for Small Molecules,” J. Chem. Theory Comput. 13
2017
Later among the works it cites.
D. Jacquemin, I. Duchemin, and X. Blase, “Is the bethe–salpeter formalism accurate for excitation energies? comparisons with td-dft, caspt2, and eom-ccsd,” J. Phys. Chem. Lett. 8
2017
Later among the works it cites.
A. L. Kutepov and G. Kotliar, “One-electron spectra and susceptibilities of the three-dimensional electron gas from self-consistent solutions of Hedin’s equations,” Phys. Rev. B 96
2017
Later among the works it cites.
B. Cunningham, M. Grüning, P. Azarhoosh, D. Pashov, and M. van Schilfgaarde, “Effect of ladder diagrams on optical absorption spectra in a quasiparticle self-consistent 𝐺𝑊 \mathit{GW} framework,” Phys. Rev. Mater. 2
2018
Later among the works it cites.
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Cited alongside, same era.
G. E. Scuseria, T. M. Henderson, and D. C. Sorensen, “The ground state correlation energy of the random phase approximation from a ring coupled cluster doubles approach,” J. Chem. Phys. 129
2008
Cited alongside, same era.
F. Furche, “Developing the random phase approximation into a practical post-Kohn–Sham correlation model,” J. Chem. Phys. 129
2008
Cited alongside, same era.
W. H. DickHoff and D. V. Neck, Many-Body Theory Exposed! (World scientific, 2008)
2008
Cited alongside, same era.
P. Romaniello, S. Guyot, and L. Reining, “The self-energy beyond GW: Local and nonlocal vertex corrections,” J. Chem. Phys. 131
2009
Cited alongside, same era.
A. Stan, N. E. Dahlen, and R. van Leeuwen, “Levels of self-consistency in the GW approximation,” J. Chem. Phys. 130
2009
Cited alongside, same era.
C. H. Patterson, “Exciton: a code for excitations in materials,” Mol. Phys. 108
2010
Cited alongside, same era.
G. Jansen, R.-F. Liu, and J. G. Ángyán, “On the equivalence of ring-coupled cluster and adiabatic connection fluctuation-dissipation theorem random phase approximation correlation energy expressions,” J. Chem. Phys. 133
2010
Cited alongside, same era.
P. F. Loos, A. Scemama, A. Blondel, Y. Garniron, M. Caffarel, and D. Jacquemin, “A mountaineering strategy to excited states: Highly-accurate reference energies and benchmarks,” J. Chem. Theory Comput. 14
2018
Later among the works it cites.
X. Gui, C. Holzer, and W. Klopper, “Accuracy assessment of gw starting points for calculating molecular excitation energies using the bethe–salpeter formalism,” J. Chem. Theory Comput. 14
2018
Later among the works it cites.
X. Blase, I. Duchemin, and D. Jacquemin, “The bethe–salpeter equation in chemistry: relations with td-dft, applications and challenges,” Chem. Soc. Rev. 47
2018
Later among the works it cites.
J. Wilhelm, D. Golze, L. Talirz, J. Hutter, and C. A. Pignedoli, “Toward gw calculations on thousands of atoms,” J. Phys. Chem. Lett. 9
2018
Later among the works it cites.
M. Grumet, P. Liu, M. Kaltak, J. c. v. Klimeš, and G. Kresse, “Beyond the quasiparticle approximation: Fully self-consistent g w gw calculations,” Phys. Rev. B 98
2018
Later among the works it cites.
P. F. Loos, P. Romaniello, and J. A. Berger, “Green functions and self-consistency: Insights from the spherium model,” J. Chem. Theory Comput. 14
2018
Later among the works it cites.
M. Véril, P. Romaniello, J. A. Berger, and P. F. Loos, “Unphysical discontinuities in gw methods,” J. Chem. Theory Comput. 14
2018
Later among the works it cites.
D. Golze, M. Dvorak, and P. Rinke, “The gw compendium: A practical guide to theoretical photoemission spectroscopy,” Front. Chem. 7
2019
Later among the works it cites.
V. Vlček, “Stochastic vertex corrections: Linear scaling methods for accurate quasiparticle energies,” J. Chem. Theory Comput. 15
2019
Later among the works it cites.
A. M. Lewis and T. C. Berkelbach, “Vertex corrections to the polarizability do not improve the gw approximation for the ionization potential of molecules,” J. Chem. Theory Comput. 15
2019
Later among the works it cites.
P.-F. Loos, M. Boggio-Pasqua, A. Scemama, M. Caffarel, and D. Jacquemin, “Reference energies for double excitations,” J. Chem. Theory Comput. 15
2019
Later among the works it cites.
C. H. Patterson, “Photoabsorption spectra of small na clusters: Tdhf and bse versus ci and experiment,” Phys. Rev. Mater. 3
2019
Later among the works it cites.
S. Iskakov, A. A. Rusakov, D. Zgid, and E. Gull, “Effect of propagator renormalization on the band gap of insulating solids,” Phys. Rev. B 100
2019
Later among the works it cites.
C. Holzer, A. M. Teale, F. Hampe, S. Stopkowicz, T. Helgaker, and W. Klopper, “Gw quasiparticle energies of atoms in strong magnetic fields,” J. Chem. Phys. 150
2019
Later among the works it cites.
I. Duchemin and X. Blase, “Separable resolution-of-the-identity with all-electron gaussian bases: Application to cubic-scaling rpa,” J. Chem. Phys. 150
2019
Later among the works it cites.
M. D. Ben, F. H. da Jornada, A. Canning, N. Wichmann, K. Raman, R. Sasanka, C. Yang, S. G. Louie, and J. Deslippe, “Large-scale GW calculations on pre-exascale HPC systems,” Comp. Phys. Comm. 235
2019
Later among the works it cites.
Y. Garniron, K. Gasperich, T. Applencourt, A. Benali, A. Ferté, J. Paquier, B. Pradines, R. Assaraf, P. Reinhardt, J. Toulouse, P. Barbaresco, N. Renon, G. David, J. P. Malrieu, M. Véril, M. Caffarel, P. F. Loos, E. Giner, and A. Scemama, “Quantum package 2.0: a open-source determinant-driven suite of programs,” J. Chem. Theory Comput. 15
2019
Later among the works it cites.
Y. Pavlyukh, G. Stefanucci, and R. van Leeuwen, “Dynamically screened vertex correction to G W GW ,” Phys. Rev. B 102
2020
Later among the works it cites.
I. Duchemin and X. Blase, “Robust analytic-continuation approach to many-body GW calculations,” J. Chem. Theory Comput. 16
2020
Later among the works it cites.
A. Förster and L. Visscher, “Low-order scaling G 0 W 0 G_{0}W_{0} by pair atomic density fitting,” J. Chem. Theory Comput. 16
2020
Later among the works it cites.
C. H. Patterson, “Density fitting in periodic systems: Application to TDHF in diamond and oxides,” J. Chem. Phys. 153
2020
Later among the works it cites.
Q. Sun, X. Zhang, S. Banerjee, P. Bao, M. Barbry, N. S. Blunt, N. A. Bogdanov, G. H. Booth, J. Chen, Z.-H. Cui, J. J. Eriksen, Y. Gao, S. Guo, J. Hermann, M. R. Hermes, K. Koh, P. Koval, S. Lehtola, Z. Li, J. Liu, N. Mardirossian, J. D. McClain, M. Motta, B. Mussard, H. Q. Pham, A. Pulkin, W. Purwanto, P. J. Robinson, E. Ronca, E. R. Sayfutyarova, M. Scheurer, H. F. Schurkus, J. E. T. Smith, C. Sun, S.-N. Sun, S. Upadhyay, L. K. Wagner, X. Wang, A. White, J. D. Whitfield, M. J. Williamson, S. Wouters, J. Yang, J. M. Yu, T. Zhu, T. C. Berkelbach, S. Sharma, A. Y. Sokolov, and G. K.-L. Chan, “Recent developments in the PySCF program package,” J. Chem. Phys. 153
2020
Later among the works it cites.
Y. Wang, P. Rinke, and X. Ren, “Assessing the g0w0 Γ \Gamma 0(1) approach: Beyond g0w0 with hedin’s full second-order self-energy contribution,” J. Chem. Theory Comput. 17
2021
Later among the works it cites.
F. Bruneval, N. Dattani, and M. J. van Setten, “The gw miracle in many-body perturbation theory for the ionization potential of molecules,” Front. Chem. 9
2021
Later among the works it cites.
I. Duchemin and X. Blase, “Cubic-scaling all-electron gw calculations with a separable density-fitting space–time approach,” J. Chem. Theory Comput. 17
2021
Later among the works it cites.
A. Förster and L. Visscher, “Low-order scaling quasiparticle self-consistent gw for molecules,” Front. Chem. 9
2021
Later among the works it cites.
S. Di Sabatino, P.-F. Loos, and P. Romaniello, “Scrutinizing gw-based methods using the hubbard dimer,” Front. Chem. 9
2021
Later among the works it cites.
P. Pokhilko, S. Iskakov, C.-N. Yeh, and D. Zgid, “Evaluation of two-particle properties within finite-temperature self-consistent one-particle green’s function methods: Theory and application to gw and gf2,” J. Chem. Phys. 155
2021
Later among the works it cites.
P. Pokhilko and D. Zgid, “Interpretation of multiple solutions in fully iterative gf2 and gw schemes using local analysis of two-particle density matrices,” J. Chem. Phys. 155
2021
Later among the works it cites.
F. Bruneval, M. Rodriguez-Mayorga, P. Rinke, and M. Dvorak, “Improved one-shot total energies from the linearized gw density matrix,” J. Chem. Theory Comput. 17
2021
Later among the works it cites.
C. Mejuto-Zaera and V. c. v. Vlček, “Self-consistency in g w Γ gw\mathrm{\Gamma} formalism leading to quasiparticle-quasiparticle couplings,” Phys. Rev. B 106
2022
Later among the works it cites.
Y. Wang and X. Ren, “Vertex effects in describing the ionization energies of the first-row transition-metal monoxide molecules,” J. Chem. Theory Comput. 157
2022
Later among the works it cites.
J. Li, Y. Jin, P. Rinke, W. Yang, and D. Golze, “Benchmark of gw methods for core-level binding energies,” J. Chem. Theory Comput. 18
2022
Later among the works it cites.
C. A. McKeon, S. M. Hamed, F. Bruneval, and J. B. Neaton, “An optimally tuned range-separated hybrid starting point for ab initio gw plus bethe–salpeter equation calculations of molecules,” J. Chem. Phys. 157
2022
Later among the works it cites.
J. Hofierka, B. Cunningham, C. M. Rawlins, C. H. Patterson, and D. G. Green, “Many-body theory of positron binding to polyatomic molecules,” Nature 606
2022
Later among the works it cites.
C.-N. Yeh, S. Iskakov, D. Zgid, and E. Gull, “Fully self-consistent finite-temperature g w gw in gaussian bloch orbitals for solids,” Phys. Rev. B 106
2022
Later among the works it cites.
P. Pokhilko, C.-N. Yeh, and D. Zgid, “Iterative subspace algorithms for finite-temperature solution of dyson equation,” J. Chem. Phys. 156
2022
Later among the works it cites.
R. Orlando, P. Romaniello, and P.-F. Loos, “Exploring new exchange-correlation kernels in the bethe–salpeter equation: A study of the asymmetric hubbard dimer,” in Advances in Quantum Chemistry (Elsevier, 2023) pp. 183–211
2023
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C. J. C. Scott, O. J. Backhouse, and G. H. Booth, “A “moment-conserving” reformulation of gw theory,” J. Chem. Phys. 158
2023
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R. L. Panadés-Barrueta and D. Golze, “Accelerating core-level gw calculations by combining the contour deformation approach with the analytic continuation of w,” J. Chem. Theory Comput. 19
2023
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A. Marie and P.-F. Loos, “A similarity renormalization group approach to green’s function methods,” J. Chem. Theory Comput. 19
2023
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2024
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