The GW approximation: content, successes and limitations

L Reining - Wiley Interdisciplinary Reviews: Computational …, 2018 - Wiley Online Library
Many observables such as the density, total energy, or electric current, can be expressed
explicitly in terms of the one‐body Green's function, which describes electron addition or …

[책][B] Quantum kinetics in transport and optics of semiconductors

H Haug, AP Jauho - 2008 - Springer
During the 11 years since the first edition was published the field of quantum kinetics has
experienced a great expansion, and the methods described in the first edition are now …

Ultrafast dynamics of strongly correlated fermions—nonequilibrium Green functions and selfenergy approximations

N Schlünzen, S Hermanns, M Scharnke… - Journal of Physics …, 2019 - iopscience.iop.org
This article presents an overview on recent progress in the theory of nonequilibrium Green
functions (NEGF). We discuss applications of NEGF simulations to describe the femtosecond …

Levels of self-consistency in the GW approximation

A Stan, NE Dahlen, R Van Leeuwen - The Journal of chemical physics, 2009 - pubs.aip.org
We perform GW calculations on atoms and diatomic molecules at different levels of self-
consistency and investigate the effects of self-consistency on total energies, ionization …

Kadanoff-Baym approach to quantum transport through interacting nanoscale systems: From the transient to the steady-state regime

P Myöhänen, A Stan, G Stefanucci… - Physical Review B …, 2009 - APS
We propose a time-dependent many-body approach to study the short-time dynamics of
correlated electrons in quantum transport through nanoscale systems contacted to metallic …

Beyond the approximation: Combining correlation channels

P Romaniello, F Bechstedt, L Reining - Physical Review B—Condensed Matter …, 2012 - APS
In many-body perturbation theory (MBPT) the self-energy Σ= i GW Γ plays a key role since it
contains all the many-body effects of the system. The exact self-energy is not known; as a …

[HTML][HTML] Evaluation of two-particle properties within finite-temperature self-consistent one-particle Green's function methods: Theory and application to GW and GF2

P Pokhilko, S Iskakov, CN Yeh, D Zgid - The Journal of Chemical …, 2021 - pubs.aip.org
One-particle Green's function methods can model molecular and solid spectra at zero or non-
zero temperatures. One-particle Green's functions directly provide electronic energies and …

Anomalous propagators and the particle-particle channel: Hedin's equations

A Marie, P Romaniello, PF Loos - Physical Review B, 2024 - APS
Hedin's equations provide an elegant route to compute the exact one-body Green's function
(or propagator) via the self-consistent iteration of a set of nonlinear equations. Its first-order …

[HTML][HTML] Exploring connections between statistical mechanics and Green's functions for realistic systems: Temperature dependent electronic entropy and internal …

AR Welden, AA Rusakov, D Zgid - The Journal of chemical physics, 2016 - pubs.aip.org
Including finite-temperature effects from the electronic degrees of freedom in electronic
structure calculations of semiconductors and metals is desired; however, in practice it …

Mott physics and collective modes: An atomic approximation of the four-particle irreducible functional

T Ayral, O Parcollet - Physical Review B, 2016 - APS
We discuss a generalization of the dynamical mean field theory (DMFT) for strongly
correlated systems close to a Mott transition based on a systematic approximation of the fully …