Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D   Charge-$4e$ superconductivity as a novel phase of matter remains elusive so
far. Here we show that charge-$4e$ phase can arise as a vestigial order above
the nematic superconducting transition temperature in time-reversal-invariant
nematic superconductors. On the one hand, the nontrivial topological defect --
nematic vortex -- is energetically favored over the superconducting phase
vortex when the nematic stiffness is less than the superfluid stiffness;
consequently the charge-$4e$ phase emerges by proliferation of nematic vortices
upon increasing temperatures. On the other hand, the Ginzburg-Landau theory of
the nematic superconductors has two distinct decoupling channels to either
charge-$4e$ orders or nematic orders; by analyzing the competition between the
effective mass of the charge-$4e$ order and the cubic potential of the nematic
order, we find a sizable regime where the charge-$4e$ order is favored. These
two analysis consistently show that nematic superconductors can provide a
promising route to realize charge-$4e$ phases, which may apply to candidate
nematic superconductors such as PbTaSe$_2$ and twisted bilayer graphene.

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas