Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High Spin-Chern-Number Insulator in $\alpha$-Antimonene with a Hidden
  Topological Phase   In investigating the topological electronic structures of monolayer
$\alpha$-phase group V elements, we uncover a new topological phase, which is
invisible in the symmetry-based topological quantum chemistry (TQC) as well as
symmetry indicators (SIs). Since $\alpha$ phase As and Sb share the same band
representations at high-symmetry points, they are both trivial insulators in
terms of TQC and SIs. We demonstrate, however, that there is a topological
phase transition between As and Sb that involves a band-gap closing at two
$k$-points on the high-symmetry $\rm{X}$-$\rm{\Gamma}$-$\rm{X}$ line. In the
absence of spin-orbit coupling (SOC), As is a trivial insulator, while Sb is a
Dirac semimetal with four Dirac points (DPs) located away from the
high-symmetry lines. Inclusion of $S_z$-conserved SOC gaps out the Dirac points
and induces a nontrivial Berry curvature and drives Sb into a high spin Chern
number topological phase. The band structure of $\alpha$-Bi differs from that
of Sb by a band inversion at $\Gamma$, transforming Bi into a Z$_2$ topological
insulator. Our study shows that quantized spin Hall conductivity can serve as a
topological invariant beyond Z$_2$ for characterizing topological phases.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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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: q-alg