Violation of particle number conservation in the GW approximation

Arno Schindlmayr
Phys. Rev. B 56, 3528 – Published 15 August 1997
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Abstract

We present a nontrivial model system of interacting electrons that can be solved analytically in the GW approximation. We obtain the particle number from the GW Green’s function strictly analytically, and prove that there is a genuine violation of particle number conservation if the self-energy is calculated non-self-consistently from a zeroth order Green’s function, as done in virtually all practical implementations. We also show that a simple shift of the self-energy that partially restores self-consistency reduces the numerical deviation significantly.

  • Received 5 February 1997

DOI:https://doi.org/10.1103/PhysRevB.56.3528

©1997 American Physical Society

Authors & Affiliations

Arno Schindlmayr

  • Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom

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Vol. 56, Iss. 7 — 15 August 1997

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