Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological low-energy modes in N=0 Landau levels of graphene: a
  possibility of a quantum-liquid ground state   We point out that the zero-energy Landau level of Dirac fermions in graphene
can be, in the presence of a repulsive electron-electron interaction, split
into two (levels) associated with a "bond ordering" formation having a "Kekule
pattern", which respects the chiral symmetry. Since the Kekule pattern has a
three-fold degeneracy, domain structures are implied, for which we show that
in-gap states localized along the domain boundaries exist as topological
states. Based on this a possibility of a quantum-liquid ground state of
graphene in magnetic fields is discussed.

7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
3
The categories of this paper are: physics
1
The categories of this paper are: cs