Hedin Equations, GW, GW+DMFT, and All That
Abstract
Historically, the GW approach was put forward by Hedin as the simplest approximation to the so-called Hedin equations. In Section 2, we will derive these Hedin equations from a Feynman-diagrammatical point of view. Section 3.1 shows how GW arises as an approximation to the Hedin equations. In Section 3.2, we briefly present some typical GW results for materials, including quasiparticle renormalizations, lifetimes, and band gap enhancements. In Section 4, the combination of GW and DMFT is summarized. Finally, as a prospective outlook, ab initio dynamical vertex approximation DA is introduced in Section 5 as a unifying scheme for all that: GW, DMFT and non-local vertex correlations beyond.
Keywords
Cite
@article{arxiv.1109.3972,
title = {Hedin Equations, GW, GW+DMFT, and All That},
author = {K. Held and C. Taranto and G. Rohringer and A. Toschi},
journal= {arXiv preprint arXiv:1109.3972},
year = {2011}
}
Comments
To be published as a chapter of the Autumn School Hands-on LDA+DMFT, 4--7 October 2011, Forschungszentrum Juelich