Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorana Kramers pair in a nematic vortex   A time-reversal (TR) invariant topological superconductor is characterized by
a Kramers pair of Majorana zero-energy modes on boundaries and in a core of a
TR invariant vortex. A vortex defect that preserves TR symmetry has remained
primarily of theoretical interest, since typically a magnetic field, which
explicitly breaks TR, needs to be applied to create vortices in
superconductors. In this work, we show that an odd-parity topological
superconductor with a nematic pairing order parameter can host a nematic vortex
that preserves TR symmetry and binds a Majorana Kramers pair. Such a nematic
superconductor could be realized in metal-doped Bi$_2$Se$_3$, as suggested by
recent experiments. We provide an analytic solution for the zero modes in a
continuous nematic vortex. In lattice, crystalline anisotropy can pin the
two-component order parameter along high-symmetry directions. We show that a
discrete nematic vortex, which forms when three nematic domains meet, also
supports a TR pair of Majorana modes. Finally, we discuss possible experiments
to probe the zero modes.

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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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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: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys