Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized
  States, Spin Zero Modes, and Quantum Hall Effect   Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111)
substrate has been recently reported. I show that eigenstates of spin-orbit
coupled graphene are polarized in-plane and perpendicular to electron momentum
$\bf k$; the magnitude of spin polarization $\bf S$ vanishes when $k \to 0$. In
a perpendicular magnetic field $\bf B$, $\bf S$ is parallel to $\bf B$, and two
zero modes emerge in the Landau level spectrum. Singular $\bf B$-dependence of
their magnetization suggests existence of a novel magnetic instability. They
also manifest themselves in a new unconventional quantum Hall effect.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys