The GWG approach to electron self-energies in semiconductors and insulators

R.W. Godby; R.D. Sole; L. Reining

doi:10.1103/PhysRevB.49.8024

The GWG approach to electron self-energies in semiconductors and insulators

R.W. Godby, R.D. Sole, L. Reining

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The widely used GW approximation for the self-energy operator of a system of interacting electrons may, in principle, be improved using an approximate vertex correction G. We estimate G using the local-density approximation. We report the results of a comparable series of GW calculations for the band structure of silicon, in which such a vertex correction is (i) excluded entirely, (ii) included only in the screened Coulomb interaction W, and (iii) included in both W and the expression for the self-energy. We also discuss the symmetry properties of the exact vertex correction and how they may be retained in further improvements.

Original language	English
Pages (from-to)	8024-8028
Number of pages	4
Journal	Physical Review B
Volume	49
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.49.8024
Publication status	Published - 15 Mar 1994

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10.1103/PhysRevB.49.8024

Cite this

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title = "The GWG approach to electron self-energies in semiconductors and insulators",

abstract = "The widely used GW approximation for the self-energy operator of a system of interacting electrons may, in principle, be improved using an approximate vertex correction G. We estimate G using the local-density approximation. We report the results of a comparable series of GW calculations for the band structure of silicon, in which such a vertex correction is (i) excluded entirely, (ii) included only in the screened Coulomb interaction W, and (iii) included in both W and the expression for the self-energy. We also discuss the symmetry properties of the exact vertex correction and how they may be retained in further improvements.",

author = "R.W. Godby and R.D. Sole and L. Reining",

note = "{\textcopyright} 1994 American Physical Society.",

year = "1994",

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T1 - The GWG approach to electron self-energies in semiconductors and insulators

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AU - Sole, R.D.

AU - Reining, L.

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Y1 - 1994/3/15

N2 - The widely used GW approximation for the self-energy operator of a system of interacting electrons may, in principle, be improved using an approximate vertex correction G. We estimate G using the local-density approximation. We report the results of a comparable series of GW calculations for the band structure of silicon, in which such a vertex correction is (i) excluded entirely, (ii) included only in the screened Coulomb interaction W, and (iii) included in both W and the expression for the self-energy. We also discuss the symmetry properties of the exact vertex correction and how they may be retained in further improvements.

AB - The widely used GW approximation for the self-energy operator of a system of interacting electrons may, in principle, be improved using an approximate vertex correction G. We estimate G using the local-density approximation. We report the results of a comparable series of GW calculations for the band structure of silicon, in which such a vertex correction is (i) excluded entirely, (ii) included only in the screened Coulomb interaction W, and (iii) included in both W and the expression for the self-energy. We also discuss the symmetry properties of the exact vertex correction and how they may be retained in further improvements.

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DO - 10.1103/PhysRevB.49.8024

M3 - Article

SN - 2469-9950

VL - 49

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