Table 1 The MEBRs induced by maximal symmetry Wyckoff positions in \(P4^{\prime}\)/\(n^{\prime} m^{\prime} m\)22,52.

From: Fragile topological band in the checkerboard antiferromagnetic monolayer FeSe

MEBRs

Γ(0, 0)

X(0, π)

M(π, π)

(\({}^{1}\!{\overline{E}}_{1}\))2a ↑ G

\({\overline{{{\Gamma }}}}_{7}\)

\(\,{\overline{X}}_{2}\,{\overline{X}}_{4}\)

\(\,{\overline{M}}_{7}\)

(\({}^{1}\!{\overline{E}}_{2}\))2a ↑ G

\({\overline{{{\Gamma }}}}_{6}\)

\(\,{\overline{X}}_{2}\,{\overline{X}}_{4}\)

\(\,{\overline{M}}_{6}\)

(\({}^{2}\!{\overline{E}}_{1}\))2a ↑ G

\({\overline{{{\Gamma }}}}_{7}\)

\(\,{\overline{X}}_{3}\,{\overline{X}}_{5}\)

\(\,{\overline{M}}_{6}\)

(\({}^{2}\!{\overline{E}}_{2}\))2a ↑ G

\({\overline{{{\Gamma }}}}_{6}\)

\(\,{\overline{X}}_{3}\,{\overline{X}}_{5}\)

\(\,{\overline{M}}_{7}\)

\({(\overline{E})}_{2c}\uparrow G\)

\({\overline{{{\Gamma }}}}_{6}\oplus {\overline{{{\Gamma }}}}_{7}\)

\(\,{\overline{X}}_{2}\,{\overline{X}}_{4}\oplus \,{\overline{X}}_{3}\,{\overline{X}}_{5}\)

\(\,{\overline{M}}_{6}\oplus \,{\overline{M}}_{7}\)

  1. Since the monolayer FeSe is 2D, only the z = 0 Wyckoff positions and kz = 0 high symmetry momenta points are considered. The MEBRs are denoted as Dw ↑ G, which represent a co-irreps of space group G induced by the D orbital at Wyckoff position w.