Table 1 Character table of irreps at high symmetry momenta in magnetic space group PC4bm (#100.177 in BNS setting), taken from the COREPRESENTATIONS program on the Bilbao Crystallographic Server80
From: Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
Γ1 | Γ2 | Γ3 | Γ4 | Γ5 | M1 | M2 | M3 | M4 | M5 | X1 | |||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
{1∣0, 0, 0} | 1 | 1 | 1 | 1 | 2 | {1∣0, 0, 0} | 1 | 1 | 1 | 1 | 2 | {1∣0, 0, 0} | 2 |
\({C}_{2z}=\{{2}_{001}| -\frac{1}{2},\frac{1}{2},0\}\) | 1 | 1 | 1 | 1 | −2 | \({C}_{2z}=\{{2}_{001}| -\frac{1}{2},\frac{1}{2},0\}\) | −1 | −1 | −1 | −1 | 2 | \({C}_{2z}=\{{2}_{001}| -\frac{1}{2},\frac{1}{2},0\}\) | 0 |
\({C}_{4z}=\{{4}_{001}^{+}| 0,\frac{1}{2},0\}\) | 1 | −1 | −1 | 1 | 0 | \({C}_{4z}=\{{4}_{001}^{+}| 0,\frac{1}{2},0\}\) | i | −i | −i | i | 0 | \(\{{m}_{100}| 0,\frac{1}{2},0\}\) | 0 |
\({M}_{xy}=\{{m}_{1\bar{1}0}| 0,0,0\}\) | 1 | −1 | 1 | −1 | 0 | \({M}_{xy}=\{{m}_{1\bar{1}0}| 0,0,0\}\) | −1 | 1 | −1 | 1 | 0 | \(\{{m}_{010}| \frac{1}{2},0,0\}\) | 0 |