Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer
  Graphene   Monolayer graphene in a strong magnetic field exhibits quantum Hall states at
filling fractions $\nu = 0$ and $\nu = \pm 1$ that are not explained within a
picture of noninteracting electrons. We propose that these states arise from
interaction-induced chiral symmetry-breaking orders. We argue that when the
chemical potential is at the Dirac point, weak on-site repulsion supports an
easy-plane antiferromagnet state, which simultaneously gives rise to
ferromagnetism oriented parallel to the magnetic field direction, whereas for
$|\nu|=1$ easy-axis antiferromagnet and charge-density-wave orders coexist. We
perform self-consistent calculations of the magnetic field dependence of the
activation gap for the $\nu = 0$ and $|\nu| = 1$ states and obtain excellent
agreement with recent experimental results. Implications of our study for
fractional Hall states in monolayer graphene are highlighted.

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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph