Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valley symmetry breaking in bilayer graphene: a test to the minimal
  model   Physical properties reflecting valley asymmetry of Landau levels in a biased
bilayer graphene under magnetic field are discussed. Within the $4-$band
continuum model with Hartree-corrected self-consistent gap and finite damping
factor we predict the appearance of anomalous steps in quantized Hall
conductivity due to the degeneracy lifting of Landau levels. Moreover, the
valley symmetry breaking effect appears as a non-semiclassical de Haas-van
Alphen effect where the reduction of the oscillation period to half cannot be
accounted for through quasi-classical quantization of the orbits in reciprocal
space, still valley degenerate.

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The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas