Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composite super-moir\'e lattices in double aligned graphene
  heterostructures   When two-dimensional atomic crystals are brought into close proximity to form
a van der Waals heterostructure, neighbouring crystals can start influencing
each others electronic properties. Of particular interest is the situation when
the periodicity of the two crystals closely match and a moir\'e pattern forms,
which results in specific electron scattering, reconstruction of electronic and
excitonic spectra, crystal reconstruction, and many other effects. Thus,
formation of moir\'e patterns is a viable tool of controlling the electronic
properties of 2D materials. At the same time, the difference in the interatomic
distances for the two crystals combined, determines the range in which the
electronic spectrum is reconstructed, and thus is a barrier to the low energy
regime. Here we present a way which allows spectrum reconstruction at all
energies. By using graphene which is aligned simultaneously to two hexagonal
boron nitride layers, one can make electrons scatter in the differential
moir\'e pattern, which can have arbitrarily small wavevector and, thus results
in spectrum reconstruction at arbitrarily low energies. We demonstrate that the
strength of such a potential relies crucially on the atomic reconstruction of
graphene within the differential moir\'e super-cell. Such structures offer
further opportunity in tuning the electronic spectra of two-dimensional
materials.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio