Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin Hall effect in AA-stacked bilayer graphene   Intrinsic spin Hall effect in the AA-stacked bilayer graphene is studied
theoretically. The low-energy electronic spectrum for states in the vicinity of
the Dirac points is obtained from the corresponding $\mathbf{k}\cdot\mathbf{p}$
Hamiltonian. The spin Hall conductivity in the linear response regime is
determined within the Green function formalism. Conditions for the existence of
spin Hall insulator phase are also analyzed, and it is shown that the spin Hall
insulator phase can exist for a sufficiently large spin-orbit coupling, which
opens a gap in the spectrum. The electric field perpendicular to the graphene
plane leads then to reduction of the gap width and suppression of the spin Hall
insulator phase. The low temperature spin Nernst effect is also calculated from
the zero temperature spin Hall conductivity.

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph