Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground
  State of Bilayer Graphene   We analyze the phase diagram of the Bilayer graphene (BLG) at zero
temperature and doping. Assuming that at the high energies the electronic
system of BLG can be described within a weak coupling theory (consistent with
the experimental evidence), we systematically study the evolution of the
couplings with going from high to low energies. The divergences of the
couplings at some energies indicates the tendency towards certain symmetry
breakings. Carrying out this program, we found that the phase diagram is
determined by microscopic couplings defined on the short distances (initial
conditions). We explored all plausible space of these initial conditions and
found that the three states have the largest phase volume of the initial
couplings: nematic, antiferromagnetic and spin flux (a.k.a quantum spin Hall).
In addition, ferroelectric and two superconducting phases and appear only near
the very limits of the applicability of the weak coupling approach.
  The paper also contains the derivation and analysis of the renormalization
group equations and the group theory classification of all the possible phases
which might arise from the symmetry breakings of the lattice, spin rotation,
and gauge symmetries of graphene.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc