{"status":"public","type":"journal_article","extern":"1","file_date_updated":"2020-08-30T16:15:45Z","isi":"1","article_type":"original","article_number":"235106","user_id":"458","_id":"18612","intvolume":" 64","citation":{"chicago":"Schindlmayr, Arno, Pablo García-González, and Rex William Godby. “Diagrammatic Self-Energy Approximations and the Total Particle Number.” Physical Review B 64, no. 23 (2001). https://doi.org/10.1103/PhysRevB.64.235106.","ieee":"A. Schindlmayr, P. García-González, and R. W. Godby, “Diagrammatic self-energy approximations and the total particle number,” Physical Review B, vol. 64, no. 23, Art. no. 235106, 2001, doi: 10.1103/PhysRevB.64.235106.","ama":"Schindlmayr A, García-González P, Godby RW. Diagrammatic self-energy approximations and the total particle number. Physical Review B. 2001;64(23). doi:10.1103/PhysRevB.64.235106","apa":"Schindlmayr, A., García-González, P., & Godby, R. W. (2001). Diagrammatic self-energy approximations and the total particle number. Physical Review B, 64(23), Article 235106. https://doi.org/10.1103/PhysRevB.64.235106","bibtex":"@article{Schindlmayr_García-González_Godby_2001, title={Diagrammatic self-energy approximations and the total particle number}, volume={64}, DOI={10.1103/PhysRevB.64.235106}, number={23235106}, journal={Physical Review B}, publisher={American Physical Society}, author={Schindlmayr, Arno and García-González, Pablo and Godby, Rex William}, year={2001} }","mla":"Schindlmayr, Arno, et al. “Diagrammatic Self-Energy Approximations and the Total Particle Number.” Physical Review B, vol. 64, no. 23, 235106, American Physical Society, 2001, doi:10.1103/PhysRevB.64.235106.","short":"A. Schindlmayr, P. García-González, R.W. Godby, Physical Review B 64 (2001)."},"has_accepted_license":"1","publication_identifier":{"eissn":["1095-3795"],"issn":["0163-1829"]},"publication_status":"published","doi":"10.1103/PhysRevB.64.235106","volume":64,"author":[{"orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","full_name":"Schindlmayr, Arno","id":"458","first_name":"Arno"},{"first_name":"Pablo","last_name":"García-González","full_name":"García-González, Pablo"},{"first_name":"Rex William","full_name":"Godby, Rex William","last_name":"Godby"}],"oa":"1","date_updated":"2022-11-11T06:54:19Z","file":[{"title":"Diagrammatic self-energy approximations and the total particle number","description":"© 2001 American Physical Society","file_size":90160,"access_level":"open_access","file_id":"18613","file_name":"PhysRevB.64.235106.pdf","date_updated":"2020-08-30T16:15:45Z","creator":"schindlm","date_created":"2020-08-28T21:29:32Z","relation":"main_file","content_type":"application/pdf"}],"abstract":[{"lang":"eng","text":"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."}],"publication":"Physical Review B","language":[{"iso":"eng"}],"ddc":["530"],"external_id":{"arxiv":["cond-mat/0110435"],"isi":["000172867900050"]},"year":"2001","issue":"23","quality_controlled":"1","title":"Diagrammatic self-energy approximations and the total particle number","date_created":"2020-08-28T21:21:29Z","publisher":"American Physical Society"}