Systematic vertex corrections through iterative solution of Hedin's equations beyond the it GW approximation

R.W. Godby; A. Schindlmayr

doi:10.1103/PhysRevLett.80.1702

Systematic vertex corrections through iterative solution of Hedin's equations beyond the it GW approximation

R.W. Godby, A. Schindlmayr

Physics

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

Abstract

We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation.

Original language	English
Pages (from-to)	1702-1705
Number of pages	3
Journal	Physical Review Letters
Volume	80
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.80.1702
Publication status	Published - 23 Jan 1998

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abstract = "We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation.",

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