Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kaleidoscope of topological phases with multiple Majorana species   Exactly solvable lattice models for spins and non-interacting fermions
provide fascinating examples of topological phases, some of them exhibiting the
localized Majorana fermions that feature in proposals for topological quantum
computing. The Chern invariant $\nu$ is one important characterization of such
phases. Here we look at the square-octagon variant of Kitaev's honeycomb model.
It maps to spinful paired fermions and enjoys a rich phase diagram featuring
distinct abelian and nonabelian phases with $\nu= 0,\pm1,\pm2,\pm3$ and $
\pm4$. The $\nu=\pm1 $ and $\nu=\pm3$ phases all support localized Majorana
modes and are examples of Ising and $SU(2)_2$ anyon theories respectively.

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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas