Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic many-body perturbation theory for Moir\'e states in twisted
  bilayer phosphorene   A new implementation of stochastic many-body perturbation theory for periodic
2D systems is presented. The method is used to compute quasiparticle
excitations in twisted bilayer phosphorene. Excitation energies are studied
using stochastic $G_0W_0$ and partially self-consistent $\bar \Delta GW_0$
approaches. The approach is inexpensive; it is used to study twisted systems
with unit cells containing $>2,700$ atoms ($>13,500$ valence electrons), which
corresponds to a minimum twisting angle of $\approx 3.1^\circ$. Twisted
bilayers exhibit band splitting, increased localization and formation of
localized Moir\'e impurity states, as documented by band-structure unfolding.
Structural changes in twisted structures lift band degeneracies. Energies of
the impurity states vary with the twisting angle due to an interplay between
non-local exchange and polarization effects. The mechanisms of quasiparticle
energy (de)stabilization due to twisting are likely applicable to a wide range
of low-dimensional Moir\'{e} superstructures.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics