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Vertex corrections and time-dependent GW approximation
University of Skövde, School of Life Sciences.ORCID iD: 0000-0002-7023-4043
2004 (English)In: International Journal of Modern Physics B, ISSN 0217-9792, Vol. 18, no 26, 3381-3397 p.Article in journal (Refereed) Published
Abstract [en]

In a many-body perturbation treatment of electronic excitations, one has to solve the so-called Bethe–Salpeter equation (BSE) for the kernel (vertex) describing the interaction between electrons. In general, the BSE exhibits a non-local and frequency-dependent screened interaction and consequently it is extremely difficult to solve. We have developed a scheme that solves the BSE equation iteratively, including dynamically screening, by considering the change in the electron self-energy upon applying a time-dependent field. The BSE is obtained from the self-energy in the GW approximation (GWA) using the Schwinger functional technique. We apply our formalism to a simple model system and discuss briefly changes in the charge response, when dynamical screening is taken into account.

Place, publisher, year, edition, pages
World Scientific, 2004. Vol. 18, no 26, 3381-3397 p.
Keyword [en]
Bethe-Salpeter equation, Frequency-dependent screened interaction, Linear response, Vertex correction
Research subject
Natural sciences
Identifiers
URN: urn:nbn:se:his:diva-1563DOI: 10.1142/S0217979204026639ISI: 000226728200002Scopus ID: 2-s2.0-14244257726OAI: oai:DiVA.org:his-1563DiVA: diva2:31839
Available from: 2007-07-16 Created: 2007-07-16 Last updated: 2016-04-13Bibliographically approved

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