Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Full-scale Simulation of Electron Transport in Nanoporous Graphene:
  Probing the Talbot Effect   Designing platforms to control phase-coherence and interference of electron
waves is a cornerstone for future quantum electronics, computing or sensing.
Nanoporous graphene (NPG) consisting of linked graphene nanoribbons has
recently been fabricated using molecular precursors and bottom-up assembly
[Moreno et al., Science 360, 199 (2018)] opening an avenue for controlling the
electronic current in a two-dimensional material. By simulating electron
transport in real-sized NPG samples we predict that electron waves injected
from the tip of a scanning tunneling microscope (STM) behave similarly to
photons in coupled waveguides, displaying a Talbot interference pattern. We
link the origins of this effect to the band structure of the NPG and further
demonstrate how this pattern may be mapped out by a second STM probe. We enable
atomistic parameter-free calculations beyond the 100 nm scale by developing a
new multi-scale method where first-principles density functional theory regions
are seamlessly embedded into a large-scale tight-binding.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg