Systematic Vertex Corrections through Iterative Solution of Hedin's Equations Beyond the GW Approximation

Arno Schindlmayr and R. W. Godby
Phys. Rev. Lett. 80, 1702 – Published 23 February 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.

  • Received 15 August 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.1702

©1998 American Physical Society

Authors & Affiliations

Arno Schindlmayr1,* and R. W. Godby2,†

  • 1Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom
  • 2Department of Physics, University of York, Heslington, York YO1 5DD, United Kingdom

  • *Electronic address: as10031@phy.cam.ac.uk
  • Electronic address: rwg3@york.ac.uk

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Vol. 80, Iss. 8 — 23 February 1998

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