The GW approximation

Talks

• The GW approximation (ESDG talk)

Papers

On the original G₀W₀ (noninteracting Green function and dynamically screened interaction in RPA)

• L. Hedin, New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem, Phys. Rev. 139, A796-A823 (1965)
• B. Lundqvist, Single-Particle Spectrum of the Degenerate Electron Gas: I. The Structure of the Spectral Weight Function Physik der kondens. Materie, 6, 193 (1967)
• B. Lundqvist, Single-Particle Spectrum of the Degenerate Electron Gas: II. Numerical Results for Electrons Coupled to Plasmons, Physik der kondens Materie, 6, 206 (1967)
• B. Lundqvist, Single-Particle Spectrum of the degenerate Elecron Gas: III. Numerical Results in the Random Phase Approximation, Physik der kondens Materie, 7, 117 (1968)
• L. Hedin, S.Lundqvist , Effects of Electron-Electron and Electron-Phonon Interactions on the One-Electron States of Solids, Solid State Physics, Volume 23, Academic Press, New York, San Francisco, London (1969)

G₀W, using local vertex correction beyond RPA in the dynamical screening

• J.E. Northrup, M.S.Hybertsen and S.Louie, Theory of quasiparticle energies in alkali metals , Phys. Rev. Lett. 59, 819 (1987)
• C.Petrillo and F.Sacchetti Electron-gas self-energy at metallic densities, Phys. Rev. B 38, 3834 (1988)

G₀WGamma, using local vertex correction beyond RPA in the dynamical screening and in the self-energy integral

• G.D. Mahan, B.E. Sernelius , Electron-electron interactions and the bandwidth of metals, Phys. Rev. Lett. 62, 2718 (1989)
• H.O. Frota, G.D. Mahan , Band tails and bandwidth in simple metals, Phys. Rev. B 45, 6243 (1992)
• M. Hindgren and C.-O. Almbladh, Improved local-field corrections to the G₀W approximation in jellium: Importance of consistency relation, Phys. Rev. B 56, 12832 (1997)

G₀WGamma beyond local vertex corrections

• H. Yasuhara, S. Yoshinaga, and M. Higuchi , Why is the Bandwidth of Sodium Observed to be Narrower in Photoemission Experiments?, Phys. Rev. Lett., 89, 3250 (1999)

GW, where G and both, G and W, are calculated self-consistently

• U. v. Barth and B. Holm , Self-consistent GW₀ results for the electron gas: Fixed screened potential W₀ within the random-phase approximation, Phys. Rev. B 54, 8411 (1996)
• U. v. Barth and B. Holm , Fully self-consistent GW self-energy of the electron gas, Phys. Rev. B 57, 2108 (1998)
• 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, 075112 (2001)

Particle conservation and sum rules

A. Schindlmayr, P. García-González, and R. W. Godby Diagrammatic self-energy approximations and the total particle number, Phys. Rev. B 64, 235106 (2001)