Table 1 Possible topological crystalline phases corresponding to the trivial \(3{\mathbb {Z}}_2\times {\mathbb {Z}}_4\) symmetry indicators (\(\nu _{1}\nu _{2}\nu _{3}\nu _{4}\)) = (0,0,0,0) in space group #129.

From: Topological phase transitions without symmetry indication in NaZnSb\(_{1-x}\)Bi\(_x\)

Space group #129 : P4/nmm

\({\mathbb {Z}}_{2,2,2,4}\)

\(\mu _{x,0(\pi )}\)

\(\mu _{xy}\)

\(g_{z}\)

\(g_{xy}\)

\(c_{2z}\)

\(c_{2x{\overline{y}}}\)

\(c_{4z}\)

\(s_{2x}\)

0000

0 (0)

0

0

0

0

0

0

0

0000

2 (0)

0

0

0

0

0

1

1

0000

0 (0)

2

0

1

0

1

1

0

0000

2 (0)

2

0

1

0

1

0

1

  1. \(\mu _{i}\) and \(g_{i}\) and \(c_{i}\), and \(s_{i}\) are the mirror and glide and rotation and screw-resolved topological invariants about the i-invariant plane and the i-axis, respectively (\(i=x, xy, \cdots\)). We have applied the results of Ref.66.