Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak-Pairing Higher Order Topological Superconductors   Conventional topological superconductors are fully gapped in the bulk but
host gapless Majorana modes on their boundaries. We instead focus on a new
class of superconductors, second-order topological superconductors, that have
gapped, topological surfaces and gapless Majorana modes instead on
lower-dimensional boundaries, i.e., corners of a two-dimensional system or
hinges for a three-dimensional system. Here we propose two general scenarios in
which second-order topological superconductivity can be realized spontaneously
with weak-pairing instabilities. First, we show that $p_x+ip_y$-wave pairing in
a (doped) Dirac semimetal in two dimensions with four mirror symmetric Dirac
nodes realizes second-order topological superconductivity. Second, we show that
$p+id$ pairing on an ordinary spin-degenerate Fermi sruface realizes
second-order topological superconductivity as well. In the latter case we find
that the topological invariants describing the system can be written using
simple formulae involving only the low-energy properties of the Fermi surfaces
and superconducting pairing. In both cases we show that these exotic
superconducting states can be intrinsically realized in a metallic system with
electronic interactions. For the latter case we also show it can be induced by
proximity effect in a heterostructure of cuprate and topological
superconductors.

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
1
The categories of this paper are: cs