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 D$\Gamma$A is introduced in Section 5 as a unifying scheme for all that: GW, DMFT and non-local vertex correlations beyond.

To be published as a chapter of the Autumn School Hands-on LDA+DMFT, 4--7 October 2011, Forschungszentrum Juelich

References in corpus (1)

• Ab-initio procedure for effective models of correlated materials with entangled band structure

Cited by in corpus (5)

• Single-boson exchange decomposition of the vertex function
• Merging GW with DMFT and non-local correlations beyond
• Efficient evaluation of the polarization function in dynamical mean-field theory
• Momentum structure of the self-energy and its parametrization for the two-dimensional Hubbard model
• Functional Approach to Electrodynamics of Media