Diagrammatic self-energy approximations and the total particle number
| dc.creator | Schindlmayr, Arno | |
| dc.creator | Garcia-Gonzalez, P. | |
| dc.creator | Godby, R. W. | |
| dc.date | 2001-10-20 | |
| dc.date.accessioned | 2026-07-07T06:29:48Z | |
| dc.date.available | 2026-07-07T06:29:48Z | |
| dc.description | 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 G_0W_0 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. | |
| dc.description | 6 pages including 3 figures, RevTeX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0110435 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0110435 | |
| dc.identifier | Phys. Rev. B 64, 235106 (2001). | |
| dc.identifier | doi:10.1103/PhysRevB.64.235106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98168 | |
| dc.subject | Materials Science | |
| dc.title | Diagrammatic self-energy approximations and the total particle number | |
| dc.type | text |