Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient method to compute $\mathbb{Z}_4$-indices with glide symmetry
  and applications to M\"obius materials, $\mathrm{CeNiSn}$ and
  $\mathrm{UCoGe}$   We propose an efficient method to numerically evaluate $\mathbb{Z}_4$-indices
of M\"obius/hourglass topological phases with glide symmetry. Our method
directly provides $\mathbb{Z}_4$-indices in the lattice Brillouin zone while
the existing method requires careful observations of momentum dependent Wannier
charge centers. As applications, we perform systematic computation of
$\mathbb{Z}_4$-indices for M\"obius materials, $\mathrm{CeNiSn}$ and
$\mathrm{UCoGe}$. In particular, our analysis elucidates that $\mathrm{UCoGe}$
shows strong M\"obius superconductivity for the $A_u$- or
$B_{3u}$-representation whose topology has not been fully characterized.
Furthermore, obtained phase diagrams reveal novel topological gapless
excitations in the bulk which are protected by nonsymmorphic glide symmetry. We
observe these gapless excitations with glide symmetry by doping holes into the
superconducting phase of the $B_{1u}$- or $B_{3u}$-representation.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat