{"abstract":[{"lang":"eng","text":"In this lecture we present many-body perturbation theory as a method to determine quasiparticle excitations in solids, especially electronic band structures, accurately from first principles. The main ingredient is the electronic self-energy that, in principle, contains all many-body exchange and correlation effects beyond the Hartree potential. As its exact mathematical expression is unknown, approximations must be used in practical calculations. The approximation is obtained using a systematic algebraic approach on the basis of Green function techniques. It constitutes an expansion of the self-energy up to linear order in the screened Coulomb potential, which describes the interaction between the quasiparticles and includes dynamic screening through the creation of exchange-correlation holes around the bare particles. The implementation of the approximation relies on a perturbative treatment starting from density functional theory. Besides a detailed mathematical discussion we focus on the underlying physical concepts and show some illustrative applications."}],"intvolume":"        31","_id":"18606","file_date_updated":"2022-01-06T06:53:43Z","page":"335-355","date_updated":"2022-01-06T06:53:43Z","status":"public","date_created":"2020-08-28T18:43:18Z","title":"Many-body perturbation theory: The GW approximation","year":"2006","ddc":["530"],"publication_status":"published","type":"book_chapter","language":[{"iso":"eng"}],"user_id":"458","citation":{"mla":"Friedrich, Christoph, and Arno Schindlmayr. “Many-Body Perturbation Theory: The GW Approximation.” <i>Computational Nanoscience: Do It Yourself!</i>, edited by Johannes Grotendorst et al., vol. 31, John von Neumann Institute for Computing, 2006, pp. 335–55.","bibtex":"@inbook{Friedrich_Schindlmayr_2006, place={Jülich}, series={NIC Series}, title={Many-body perturbation theory: The GW approximation}, volume={31}, booktitle={Computational Nanoscience: Do It Yourself!}, publisher={John von Neumann Institute for Computing}, author={Friedrich, Christoph and Schindlmayr, Arno}, editor={Grotendorst, Johannes and Blügel, Stefan and Marx, DominikEditors}, year={2006}, pages={335–355}, collection={NIC Series} }","ama":"Friedrich C, Schindlmayr A. Many-body perturbation theory: The GW approximation. In: Grotendorst J, Blügel S, Marx D, eds. <i>Computational Nanoscience: Do It Yourself!</i>. Vol 31. NIC Series. Jülich: John von Neumann Institute for Computing; 2006:335-355.","short":"C. Friedrich, A. Schindlmayr, in: J. Grotendorst, S. Blügel, D. Marx (Eds.), Computational Nanoscience: Do It Yourself!, John von Neumann Institute for Computing, Jülich, 2006, pp. 335–355.","apa":"Friedrich, C., &#38; Schindlmayr, A. (2006). Many-body perturbation theory: The GW approximation. In J. Grotendorst, S. Blügel, &#38; D. Marx (Eds.), <i>Computational Nanoscience: Do It Yourself!</i> (Vol. 31, pp. 335–355). Jülich: John von Neumann Institute for Computing.","chicago":"Friedrich, Christoph, and Arno Schindlmayr. “Many-Body Perturbation Theory: The GW Approximation.” In <i>Computational Nanoscience: Do It Yourself!</i>, edited by Johannes Grotendorst, Stefan Blügel, and Dominik Marx, 31:335–55. NIC Series. Jülich: John von Neumann Institute for Computing, 2006.","ieee":"C. Friedrich and A. Schindlmayr, “Many-body perturbation theory: The GW approximation,” in <i>Computational Nanoscience: Do It Yourself!</i>, vol. 31, J. Grotendorst, S. Blügel, and D. Marx, Eds. Jülich: John von Neumann Institute for Computing, 2006, pp. 335–355."},"publication":"Computational Nanoscience: Do It Yourself!","place":"Jülich","editor":[{"last_name":"Grotendorst","full_name":"Grotendorst, Johannes","first_name":"Johannes"},{"first_name":"Stefan","last_name":"Blügel","full_name":"Blügel, Stefan"},{"last_name":"Marx","full_name":"Marx, Dominik","first_name":"Dominik"}],"extern":"1","series_title":"NIC Series","publication_identifier":{"isbn":["3-00-017350-1"]},"main_file_link":[{"open_access":"1","url":"http://hdl.handle.net/2128/4778"}],"volume":31,"has_accepted_license":"1","author":[{"first_name":"Christoph","last_name":"Friedrich","full_name":"Friedrich, Christoph"},{"last_name":"Schindlmayr","full_name":"Schindlmayr, Arno","orcid":"0000-0002-4855-071X","id":"458","first_name":"Arno"}],"file":[{"content_type":"application/pdf","access_level":"request","creator":"schindlm","file_name":"NIC-GW.pdf","description":"© 2006 John von Neumann Institute for Computing","title":"Many-body perturbation theory: The GW approximation","date_created":"2020-08-28T18:38:38Z","file_id":"18607","file_size":317126,"relation":"main_file","date_updated":"2022-01-06T06:53:43Z"}],"publisher":"John von Neumann Institute for Computing","conference":{"start_date":"2006-02-14","name":"NIC Winter School","end_date":"2006-02-22","location":"Jülich"},"oa":"1"}