Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral condensate with topological degeneracy in graphene and its
  manifestation in edge states   Role of chiral symmetry in many-body states of graphene in strong magnetic
fields is theoretically studied with the honeycomb lattice model. For a
spin-split Landau level where the leading electron-electron interaction is the
nearest-neighbor repulsion, a chiral condensate is shown to be, within the
subspace of n = 0 Landau level, an exact many-body ground state with a finite
gap, for which calculation of Chern numbers reveals that the ground state is a
Hall insulator with a topological degeneracy of two. The topological nature of
the ground state is shown to manifest itself as a Kekul\'ean bond order along
armchair edges, while the pattern melts in the bulk due to quantum
fluctuations. The whole story can be regarded as a realization of the bulk-edge
correspondence peculiar to the chiral symmetry.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics