Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coexistence of ultraheavy and ultrarelativistic Dirac quasiparticles in
  sandwiched trilayer graphene   Electrons in quantum materials exhibiting coexistence of dispersionless
(flat) bands piercing dispersive (steep) bands can give rise to strongly
correlated phenomena, and are associated with unconventional superconductivity.
It is known that in twisted trilayer graphene steep Dirac cones can coexist
with band flattening, but the phenomenon is not stable under layer
misalignments. Here we show that such a twisted sandwiched graphene (TSWG) -- a
three-layer van der Waals heterostructure with a twisted middle layer -- can
have very stable flat bands coexisting with Dirac cones near the Fermi energy
when twisted to 1.5 degrees. These flat bands require a specific high-symmetry
stacking order, and our atomistic calculations predict that TSWG always relaxes
to it. Additionally, with external fields, we can control the relative energy
offset between the Dirac cone vertex and the flat bands. Our work establishes
twisted sandwiched graphene as a new platform for research into strongly
interacting phases, and topological transport beyond Dirac and Weyl semimetals.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th