Violation of particle number conservation in the GW approximation

Details Violation of particle number conservation in the GW approximation Violation of particle number conservation in the GW approximation

1997-09-25

arxiv.org/abs/cond-mat/9709275v1

Phys. Rev. B 56, 3528 (1997).

Physics

Condensed Matter

Materials Science

4 pages including 1 figure, RevTeX

Scientific paper

10.1103/PhysRevB.56.3528

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.

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