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Violation of particle number conservation in the it GW approximation

Schindlmayr, A. (1997) Violation of particle number conservation in the it GW approximation. Physical Review B (PRB). pp. 3528-3531. ISSN 1098-0121

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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.

Item Type: Article
Copyright, Publisher and Additional Information: © 1997 American Physical Society. This is an author produced version of a paper published in Physical Review B. Uploaded in accordance with the publisher's self archiving policy.
Institution: The University of York
Academic Units: The University of York > Physics (York)
Depositing User: Physics Import
Date Deposited: 14 Aug 2008 14:08
Last Modified: 14 Oct 2014 09:55
Published Version: http://dx.doi.org/ 10.1103/PhysRevB.56.3528
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/4036

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