Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degeneracy of Majorana bound states and fractional Josephson effect in a
  dirty SNS junction   We theoretically study the stability of more than one Majorana Fermion
appearing in a $p$-wave superconductor/dirty normal metal/$p$-wave
superconductor junction in two-dimension by using chiral symmetry of
Hamiltonian. At the phase difference across the junction $\varphi$ being $\pi$,
we will show that all of the Majorana bound states in the normal metal belong
to the same chirality. Due to this pure chiral feature, the Majorana bound
states retain their high degree of degeneracy at the zero energy even in the
presence of random potential. As a consequence, the resonant transmission of a
Cooper pair via the degenerate MBSs carries the Josephson current at
$\varphi=\pi-0^+$, which explains the fractional current-phase relationship
discussed in a number of previous papers.

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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol