---
_id: '18606'
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.
author:
- first_name: Christoph
  full_name: Friedrich, Christoph
  last_name: Friedrich
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  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.'
  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.'
  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} }'
  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.'
  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.'
  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.'
conference:
  end_date: 2006-02-22
  location: Jülich
  name: NIC Winter School
  start_date: 2006-02-14
date_created: 2020-08-28T18:43:18Z
date_updated: 2022-01-06T06:53:43Z
ddc:
- '530'
editor:
- first_name: Johannes
  full_name: Grotendorst, Johannes
  last_name: Grotendorst
- first_name: Stefan
  full_name: Blügel, Stefan
  last_name: Blügel
- first_name: Dominik
  full_name: Marx, Dominik
  last_name: Marx
extern: '1'
file:
- access_level: request
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T18:38:38Z
  date_updated: 2022-01-06T06:53:43Z
  description: © 2006 John von Neumann Institute for Computing
  file_id: '18607'
  file_name: NIC-GW.pdf
  file_size: 317126
  relation: main_file
  title: 'Many-body perturbation theory: The GW approximation'
file_date_updated: 2022-01-06T06:53:43Z
has_accepted_license: '1'
intvolume: '        31'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://hdl.handle.net/2128/4778
oa: '1'
page: 335-355
place: Jülich
publication: 'Computational Nanoscience: Do It Yourself!'
publication_identifier:
  isbn:
  - 3-00-017350-1
publication_status: published
publisher: John von Neumann Institute for Computing
series_title: NIC Series
status: public
title: 'Many-body perturbation theory: The GW approximation'
type: book_chapter
user_id: '458'
volume: 31
year: '2006'
...