Recommended by

Indexed by

Vertex function compliant with the Ward identity for quasiparticle self-consistent calculations beyond GW

Alexey Tal1*, Wei Chen2, Alfredo Pasquarello1

1 Chaire de Simulation à l'Echelle Atomique (CSEA), Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

2 Institute of Condensed Matter and Nanoscience (IMCN), Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium

* Corresponding authors emails: alexey.tal@epfl.ch
DOI10.24435/materialscloud:hb-v3 [version v1]

Publication date: Aug 27, 2021

How to cite this record

Alexey Tal, Wei Chen, Alfredo Pasquarello, Vertex function compliant with the Ward identity for quasiparticle self-consistent calculations beyond GW, Materials Cloud Archive 2021.140 (2021), doi: 10.24435/materialscloud:hb-v3.


We extend the quasiparticle self-consistent approach beyond the GW approximation by using a range-separated vertex function. The developed approach yields band gaps, dielectric constants, and band positions with an accuracy similar to highest-level electronic-structure calculations without exceeding the cost of regular quasiparticle self-consistent GW. We introduce an exchange-correlation kernel that accounts for the vertex over the full spatial range. In the long range it complies with the Ward identity, while it is approximated through the adiabatic local density functional in the short range. In this approach, the renormalization factor is balanced and the higher-order diagrams are effectively taken into account.

Materials Cloud sections using this data

No Explore or Discover sections associated with this archive record.


File name Size Description
1.5 KiB POSCAR files
1.5 KiB shell script for performing QSGWhat calculations
734.8 KiB extended supplemental material
567 Bytes detailed description


Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.


GW vertex many-body perturbation theory electronic structure electronic bands ionization potential

Version history:

2021.140 (version v1) [This version] Aug 27, 2021 DOI10.24435/materialscloud:hb-v3