---
res:
bibo_abstract:
- There is increasing interest in many-body perturbation theory as a practical tool
for the calculation of ground-state properties. As a consequence, unambiguous
sum rules such as the conservation of particle number under the influence of the
Coulomb interaction have acquired an importance that did not exist for calculations
of excited-state properties. In this paper we obtain a rigorous, simple relation
whose fulfilment guarantees particle-number conservation in a given diagrammatic
self-energy approximation. Hedin’s G0W0 approximation does not satisfy this relation
and hence violates the particle-number sum rule. Very precise calculations for
the homogeneous electron gas and a model inhomogeneous electron system allow the
extent of the nonconservation to be estimated.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Arno
foaf_name: Schindlmayr, Arno
foaf_surname: Schindlmayr
foaf_workInfoHomepage: http://www.librecat.org/personId=458
orcid: 0000-0002-4855-071X
- foaf_Person:
foaf_givenName: Pablo
foaf_name: García-González, Pablo
foaf_surname: García-González
- foaf_Person:
foaf_givenName: Rex William
foaf_name: Godby, Rex William
foaf_surname: Godby
bibo_doi: 10.1103/PhysRevB.64.235106
bibo_issue: '23'
bibo_volume: 64
dct_date: 2001^xs_gYear
dct_identifier:
- UT:000172867900050
dct_isPartOf:
- http://id.crossref.org/issn/0163-1829
- http://id.crossref.org/issn/1095-3795
dct_language: eng
dct_publisher: American Physical Society@
dct_title: Diagrammatic self-energy approximations and the total particle number@
...