The <B> GW</B> method
Abstract
Calculations of groundstate and excitedstate properties of materials have been one of the major goals of condensed matter physics. Groundstate properties of solids have been extensively investigated for several decades within the standard density functional theory. Excitedstate properties, on the other hand, were relatively unexplored in ab initio calculations until a decade ago. The most suitable approach up to now for studying excitedstate properties of extended systems is the Green function method. To calculate the Green function one requires the selfenergy operator which is nonlocal and energy dependent. In this article we describe the GW approximation which has turned out to be a fruitful approximation to the selfenergy. The Green function theory, numerical methods for carrying out the selfenergy calculations, simplified schemes, and applications to various systems are described. Selfconsistency issue and new developments beyond the GW approximation are also discussed as well as the success and shortcomings of the GW approximation.
 Publication:

Reports on Progress in Physics
 Pub Date:
 March 1998
 DOI:
 10.1088/00344885/61/3/002
 arXiv:
 arXiv:condmat/9712013
 Bibcode:
 1998RPPh...61..237A
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 75 pages, latex2e, 21 eps figure, additional material avalable at http://www.mpistuttgart.mpg.de/docs/ANDERSEN/gw/