Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Valley Contrasting Magnetoluminescence in Monolayer MoS$_{2}$ Quantum
  Hall Systems   The valley dependent optical selection rules in recently discovered monolayer
group-VI transition metal dichalcogenides (TMDs) make possible optical control
of valley polarization, a crucial step towards valleytronic applications.
However, in presence of Landaul level(LL) quantization such selection rules are
taken over by selection rules between the LLs, which are not necessarily valley
contrasting. Using MoS$_{2}$ as an example we show that the spatial
inversion-symmetry breaking results in unusual valley dependent inter-LL
selection rules, which directly locks polarization to valley. We find a
systematic valley splitting for all Landau levels (LLs) in the quantum Hall
regime, whose magnitude is linearly proportional to the magnetic field and in
comparable with the LL spacing. Consequently, unique plateau structures are
found in the optical Hall conductivity, which can be measured by the
magneto-optical Faraday rotations.

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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys