Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple vertex correction improves GW band energies of bulk and
  two-dimensional crystals   The GW self-energy method has long been recognized as the gold standard for
quasiparticle (QP) calculations of solids in spite of the fact that the neglect
of vertex corrections and the use of a DFT starting point lacks rigorous
justification. In this work we remedy this situation by including a simple
vertex correction that is consistent with an LDA starting point. We analyse the
effect of the self-energy by splitting it into a short-range and long-range
term which are shown to govern respectively the center and size of the band
gap. The vertex mainly improves the short-range correlations and therefore has
a small effect on the band gap, while it shifts the band gap center up in
energy by around 0.5 eV in good agreement with experiments. Our analysis also
explains how the relative importance of short- and long-range interactions in
structures of different dimensionality is reflected in their QP energies.
Inclusion of the vertex comes at practically no extra computational cost and
even improves the basis set convergence compared to GW. The method thus
provides an efficient and rigorous improvement over the GW approximation and
sets a new standard for quasiparticle calculations of solids.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph