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

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

1997-10-28

arxiv.org/abs/cond-mat/9710295v1

Phys. Rev. Lett. 80, 1702 (1998).

Physics

Condensed Matter

Materials Science

4 pages including 3 figures, RevTeX

Scientific paper

10.1103/PhysRevLett.80.1702

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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