Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry protected line nodes in non-symmorphic magnetic space groups:
  Applications to UCoGe and UPd$_2$Al$_3$   We present the group-thoretical classification of gap functions in
superconductors coexisting with some magnetic order in non-symmorphic magnetic
space groups. Based on the weak-coupling BCS theory, we show that UCoGe-type
ferromagnetic superconductors must have horizontal line nodes on either $k_z=0$
or $\pm\pi/c$ plane. Moreover, it is likely that additional Weyl point nodes
exist at the axial point. On the other hand, in UPd$_2$Al$_3$-type
antiferromagnetic superconductors, gap functions with $A_g$ symmetry possess
horizontal line nodes in antiferromagnetic Brillouin zone boundary
perpendicular to $c$-axis. In other words, the conventional fully-gapped
$s$-wave superconductivity is forbidden in this type of antiferromagnetic
superconductors, irrelevant to the pairing mechanism, as long as the Fermi
surface crosses a zone boundary. UCoGe and UPd$_2$Al$_3$ are candidates for
unconventional superconductors possessing hidden symmetry-protected line nodes,
peculiar to non-symmorphic magnetic space groups.

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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: eess
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn