Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the bulk boundary correspondence and the existence of Majorana bound
  states on the edges of 2D topological superconductors   The bulk-boundary correspondence establishes a connection between the bulk
topological index of an insulator or superconductor, and the number of
topologically protected edge bands or states. For topological superconductors
in two dimensions the first Chern number is related to the number of protected
bands within the bulk energy gap, and is therefore assumed to give the number
of Majorana band states in the system. Here we show that this is not
necessarily the case. As an example we consider a hexagonal-lattice topological
superconductor based on a model of graphene with Rashba spin orbit coupling,
proximity induced s-wave superconductivity, and a Zeeman magnetic field. We
explore the full Chern number phase diagram of this model, extending what is
already known about its parity. We then demonstrate that despite the high Chern
numbers that can be seen in some phases these do not strictly always contain
Majorana bound states.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: acc-phys