Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particle-Hole Symmetry Protected Zero Modes on Vacancies in the
  Topological Insulators and Topological Superconductors on the Honeycomb
  Lattice   In this paper we study the quantum properties of the lattice vacancy in
topological band insulators (TBIs) and topological superconductors (TSCs) on
honeycomb lattice with particle-hole symmetry. Each vacancy has one zero mode
for the Haldane model and two zero modes for the Kane-Mele model. In addition,
in TSCs on honeycomb lattice with particle-hole symmetry, we found the
existence of the Majorana zero modes around the vacancies. These zero energy
modes are protected by particle-hole symmetry of these topological sates.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio