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

A. Schindlmayr, R.W. Godby, Physical Review Letters 80 (1998) 1702–1705.

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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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Physical Review Letters
Volume
80
Issue
8
Page
1702-1705
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Schindlmayr A, Godby RW. Systematic vertex corrections through iterative solution of Hedin’s equations beyond the GW approximation. Physical Review Letters. 1998;80(8):1702-1705. doi:10.1103/PhysRevLett.80.1702
Schindlmayr, A., & Godby, R. W. (1998). Systematic vertex corrections through iterative solution of Hedin’s equations beyond the GW approximation. Physical Review Letters, 80(8), 1702–1705. https://doi.org/10.1103/PhysRevLett.80.1702
@article{Schindlmayr_Godby_1998, title={Systematic vertex corrections through iterative solution of Hedin’s equations beyond the GW approximation}, volume={80}, DOI={10.1103/PhysRevLett.80.1702}, number={8}, journal={Physical Review Letters}, publisher={American Physical Society}, author={Schindlmayr, Arno and Godby, Rex William}, year={1998}, pages={1702–1705} }
Schindlmayr, Arno, and Rex William Godby. “Systematic Vertex Corrections through Iterative Solution of Hedin’s Equations beyond the GW Approximation.” Physical Review Letters 80, no. 8 (1998): 1702–5. https://doi.org/10.1103/PhysRevLett.80.1702.
A. Schindlmayr and R. W. Godby, “Systematic vertex corrections through iterative solution of Hedin’s equations beyond the GW approximation,” Physical Review Letters, vol. 80, no. 8, pp. 1702–1705, 1998.
Schindlmayr, Arno, and Rex William Godby. “Systematic Vertex Corrections through Iterative Solution of Hedin’s Equations beyond the GW Approximation.” Physical Review Letters, vol. 80, no. 8, American Physical Society, 1998, pp. 1702–05, doi:10.1103/PhysRevLett.80.1702.
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